Answer:
30 gallons of 6% milk, and 45 gallons of 1% milk.
Step-by-step explanation:
x=quarts of 6% butterfat
First, write an equation.0.06x+0.01(75-x)=0.03*75
Multiply both sides by 100.0.06x*100+0.01*100(75-x)=100*0.03*75
Simplify6x+75-x=3*75
6x+75-x=225
Solve5x=225-75=150
5x=150
x=30
75-30=45
So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.
So, the mixture contains 60 quarts of 6% milk and 15 quarts of 1% milk
Linear Equation:The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1
Let [tex]x[/tex] quats and [tex]y[/tex] quats of 6% and 1% butterfat milk then,
[tex]x+y=75...(1)[/tex]
And
[tex]\frac{6x}{100} +\frac{y}{100} =375\\6x+y=375...(2)[/tex]
Now, solving equations (1) and (2) we get,
[tex]x=60\\y=15[/tex]
Learn more about the topic linear equations:
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if 2x+1/4 = 12/20 what is the value of x
Answer:
7/10 or 0.7
Step-by-step explanation:
cross multiply to get 40x+20=48
subtract 20 from both sides to get 40x=28
divide both sides by 40 to get 7/10
HOPE THIS HELPS!!!:)
Answer:
0.7 or 7/10
Step-by-step explanation:
Step 1: Cross-multiply.
2x+1 / 4 = 12 /20
(2x+1)*(20)=(12)*(4)
40x+20=48
Step 2: Subtract 20 from both sides.
40x+20−20=48−20
40x=28
Step 3: Divide both sides by 40.
40x /40 = 28 /40
x= 7 /10
Answer:
x= 7 /10
7/10 = 0.7
On December 31, 2018, a share of a cosmetics company was worth $53.85. If the company
paid a year-end dividend of $4.75 per share, what is the dividend yield of the shares of the
company?
Answer:
Step-by-step explanation:
%($4.75 divided by 53.85) or is it the other way around. I always get these confuzzled.
Hope this helps some. That is the equation to solve for it. Sorry I wasn't much help on this subject
Answer:
it is 8.82% i did the test
Write a introduction paragraph on Cycling ( English)
Answer:
Let's look back at the history of the world and reflect on some of the great new methods of transportation that have been invented. There were cars, motorbikes, cycles, carriages, trains, boats, carts and horseback. Cycles have by far been the most economical and productive to use. The first was made in 1817 by Karl von Drais. Since then, many improvements and changes have been made to the original design, like making equally sized wheels, adding rubber tires, etc.
Answer:
Cycling, also called bicycling or biking, is the use of bicycles for transport, recreation, exercise or sport. People engaged in cycling are referred to as "cyclists", "bicyclists", or "bikers". Apart from two-wheeled bicycles, "cycling" also includes the riding of unicycles, tricycles, quadracycles, recumbent and similar human-powered vehicles (HPVs).
Bicycles were introduced in the 19th century and now number approximately one billion worldwide. They are the principal means of transportation in many parts of the world.
Cycling is widely regarded as a very effective and efficient mode of transportation optimal for short to moderate distances.
Bicycles provide numerous benefits in comparison with motor vehicles, including the sustained physical exercise involved in cycling, easier parking, increased maneuverability, and access to roads, bike paths and rural trails. Cycling also offers a reduced consumption of fossil fuels, less air or noise pollution, and much reduced traffic congestion. These lead to less financial cost to the user as well as to society at large (negligible damage to roads, less road area required). By fitting bicycle racks on the front of buses, transit agencies can significantly increase the areas they can serve
In addition, cycling provides a variety of health benefits. The World Health Organization (WHO) states that cycling can reduce the risk of cancers, heart disease, and diabetes that are prevalent in sedentary lifestyles. Cycling on stationary bikes have also been used as part of rehabilitation for lower limb injuries, particularly after hip surgery. Individuals who cycle regularly have also reported mental health improvements, including less perceived stress and better vitality.
Among the disadvantages of cycling are the requirement of bicycles (excepting tricycles or quadracycles) to be balanced by the rider in order to remain upright, the reduced protection in crashes in comparison to motor vehicles, often longer travel time (except in densely populated areas), vulnerability to weather conditions, difficulty in transporting passengers, and the fact that a basic level of fitness is required for cycling moderate to long distances.
Hope this helps.....
Pls Mark my ans as brainliest :)If the rectangle below is enlarged by a scale factor of 1.8, what will be the perimeter of the new rectangle? 39.4 units 43.2 units 45.6 units 48.2 units
Answer:
43.2 units
Step-by-step explanation:
On this problem you would just find the perimeter which is 2(l+w) and that is 24 units and after you do that you would just have to multiply the perimeter 24 times 1.8 which would leave you with and answer of 43.2 units.
Answer:
New length = 3.5 x 8 = 28 cm
New width = 3.5 x 6 = 21 cm
Step-by-step explanation:
Perimeter = 2(28) + 2(21) = 56 + 42 = 98 cm
Area = 28 x 21 = 588 square cm
Which is the graph of y = [x] - 2?
Explanation:
The notation [tex]\lfloor x \rfloor[/tex] means "floor of x". Whatever decimal value x is, we just ignore the decimal portion and just focus on the integer part. We round down to the nearest whole number. We always round down.
For something like x = 2.5 or x = 2.7, the value of [tex]\lfloor x \rfloor[/tex] will be 2. It doesn't matter that 2.7 is closer to 3 than it is to 2. The interval [tex]2 \le x < 3[/tex] will be entirely on the x axis since we are taking the result of the flooring operation and subtracting off 2. Notice how x = 3 is not included. This is because x = 3 leads to y = 1 instead of y = 0. So we have an open hole at the end of the interval. The same goes for any other piece as well.
Answer:
The Third option [ far right]
What is the probability of rolling a “4” on a fair 6-sided die and flipping a heads on a fair coin?
Answer:
Die: 16. 2/3%
Coin: 50%
Step-by-step explanation:
Well rolling a 4 on a 6 sided die is 1/6.
To make that a percent we first make it a decimal.
1 ÷ 6 = .16666 repeating
To make this a percent we move the decimal place 2 times to the right.
16.2/3%
The chance of flipping a heads on a fair sided coin is 50% because there are two sides with a 50/50 chance of being either.
Thus,
for rolling a 4 on a 6 sided die there is a 16.2/3% chance and a 50% for flipping a heads on a 2 sided coin.
Hope this helps :)
How many complex roots does the polynomial equation below have?
x5 - 3 = 0
01
02
O 3
5
Answer:
4.
Step-by-step explanation:
I will have one real root = fifth root of 3.
As it has a total of 5 roots ( By the Fundamental Theorem of Algebra) then it must have 4 complex roots.
Answer:
the answer is actually 5
Step-by-step explanation:
to state the number of complex roots you need to find the variable with the highest exponent and whatever number the exponent is is how many possible answers there are which is what they are asking in the question. so whatever exponent is the biggest in the problem is the number of complex roots. so since 5 is the only exponent its the largest exponent in the polynomial equation meaning brainlyest is wrong 5 is the answer
((PLEASE HELP ASAP!! D:)) Natasha bought a tennis racket that was marked down in price, p, by 20%. Write an expression with TWO terms representing the price Natasha paid.
Answer: p - 0.2p
Step-by-step explanation:
Given the following :
Original Price of tennis racket = p
Mark down or discount on original price = 20% of original price = (20/100) × p = 0.2p
Amount after discount = Amount paid by Natasha
Amount after discount = Original price - Discount
Amount after discount = p - 0.2p
Amount paid by Natasha = p - 0.2p
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY 20 MINS LEFT
Answer:
This indicates that the point of intersection is: (8,-6)
Step-by-step explanation:
The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.
The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.
In this case you have y=14−2.5x and y=1.5x−18
Equating the equations you get:
14-2.5x=1.5x-18
Solving:
14+18=1.5x+2.5x
32=4x
32÷4=x
x=8
Replacing in both equations: y=14-2.5*8=-6
y=1.5*8-18=-6
This indicates that the point of intersection is: (8,-6)
The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18
ordered pair for the point
Answer:
Step-by-step explanation:
(4, -3)
Answer:
(4,-3)
Step-by-step explanation:
The first coordinate of the ordered pair is the x value or go across
to the right is positive and the left is negative so x = 4
The second coordinate of the ordered pair is the y value or go up and down
up is positive and down is negative so y = -3
(4,-3)
I’ll give brainliest to the person who answers this right. Please help!!
Answer:
3.43
Step-by-step explanation:
To do this you would first find the area of the square which is 16. Then you would find the area of the 2 semicircle or just on whole circle. We are just going to use the formula for a whole circle since there are 2 semicircles. The formula to find a circle is pi times r^2 so we are going to put that into a calculator so we would do pi times 2 (radius of circle)^2 which is 12.57 and we would subtract 16 by 12.57 which is 3.43
Answer:
3.44 units^2
Step-by-step explanation:
Area of a square = l * w
Area of a circle = 3.14 * r^2
Area of semicircle = 3.14 * r^2 * 1/2
Area of shaded region: Area of square - Area of 2 semicircles
Area of square => 4 * 4 = 16
Area of both semicircles => (3.14 * r^2 * 1/2)*2 = 12.56
16 - 12.56 = 3.44
3.44 units^2 is the answer
I hope this helps!
2. IQS = 4 and QR is a perpendicular bisector of TS , determined which of the following claims is true
Answer:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
Step-by-step explanation:
First, we have to determine the sides of the triangle.
4x-3=2x+1
4x-2x=1+3
2x=4
x=2
SO, RS=4x-3=4(2)-3=8-3=5
RT=2(x)+1=2(2)+1=5
QR=4²+b²=5². 16+b²=25. b²=25-16. b²=9. b=3
CLAIMS:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
Beth and Ben work together in a store. The expression 12h + 50 represents the
amount of money Beth earns, and the expression 14h - 20 represents the amount of
money that Ben earns. The variable h represents hours worked, and the integers
represent dollar amounts. Find an expression that gives the total amount of money
earned by Beth and Ben when they work together for h hours.
Answer:
26h + 30
Step-by-step explanation:
Summing up the two earning amounts, we get:
12h + 50 + 14 h - 20,
which simplifies to
26h + 30
This is the total dollar amount earned, where h is the number of hours worked by both people.
Answer:
26h + 30
Step-by-step explanation:
First, I added the expressions together, simply 12h + 50 + 14h - 20
Second, I put the like terms next to each other, and got 12h + 14h + 50 - 20
Third, I combined them to get my final answer, 26h + 30
Hope this helps ;) let me know in comments!!!
Mattie ordered 51 vegetable pizzas and pepperoni pizzas for the eighth-grade party. The number of vegetable pizzas, v, was 3 more than 5 times the number of pepperoni pizzas, p. How many pepperoni pizzas did she order? 6 8 11 12
Answer:
8 pepperoni pizzas
Step-by-step explanation:
p4+3=v
40+3=43 then add 8 to the 43 and you'll have 51 total.
Answer:
B.8 pepperoni pizzas
Step-by-step explanation:
8. The formula for converting degrees Fahrenheit (F) to
degrees Celsius (C) is C = (F-32). Find C for F = 59°,
9
A 27°
B 33°
C 15°
D 49
Answer:
C 15°
Step-by-step explanation:
Since the formula for converting Fahrenheit to Celsius is (F - 32) × 5/9
F = 59°
59 - 32 = 27°
27 × 5/9 = 27 divided by 9 is 3
3 × 5 = 15° Celsius
Out of 22 players in a team, 10 of them have an average height of 1.50m while another 10 have an average height of 1.48m. The remaining players had an average height of 1.60m. What is the mean height of the team ?
Answer:
1.5 meters
Step-by-step explanation:
We know that the sum of all of the data in a set = average * number of data.
Therefore, the sum of the first 10 is 1.5 * 10 = 15 meters, the sum of the second 10 is 1.48 * 10 = 14.8 meters and the sum of the last 2 is 1.6 * 2 = 3.2 meters for a total of 15 + 14.8 + 3.2 = 33 meters. This means that the mean is 33 / 22 = 1.5 meters.
Answer:
Hey there!
We have the average is: [tex]\frac{10(1.5)+10(1.48)+2(1.6)}{22}[/tex]
This can be simplified to: 33/22, or 1.5
Thus, the mean height on the team is 1.5 m.
Hope this helps :)
( just #1 ) ( a and b
1. Identify the sides or angles that need to be congruent in order to make the
Answer: AB ≅ DE
∠BAC≅∠DEF
Step-by-step explanation:
as AAS is a criterion where two angles and a side not included between the angles is congruent with the other triangle's two angles and the side not included between the angles.
What is the upper quartile of this data set?
82, 97, 98, 100, 102, 102, 106, 112
Answer:
104
Step-by-step explanation:
In this set data set (82, 97, 98, 100, 102, 102, 106, 112) the median is 101
This means that the upper quartile is 104
To find the upper quartile, you take the numbers that come after the median, and find the median of that set. So when finding the upper quartile of this data set, you will only look at the numbers 102, 102, 106, 112, and the median of this is 104.
Answer:
104
Step-by-step explanation:
The upper quartile is the median of the upper half of the data set, and that is 104.
:)
*PLEASE ANSWER, ASAP* How would you calculate the area of the quarter circle represented in the upper left hand corner of this figure?
Answer:
c. (pi*r^2)/4
Step-by-step explanation:
pi r^2 is the area of a full circle.
Divide that by two gives the area of a half circle.
Divide that by four gives the area of a quarter circle. So
c. area of quarter circle = (pi*r^2)/4
The formula for the area of the quarter circle in the upper left corner of the figure is πr² / 4
What is area?Area is the space occupied by a flat shape or the surface of an object. Therefore,
area of a circle = πr²
where
radius of a circleThe quarter circle is a circle divided into 4 place.
Therefore, the area of a circle needed to be divided by 4 to get the area of a quarter circle.
area of a quarter circle = πr² / 4
learn more on area here: https://brainly.com/question/11952845
Please help me on this question
Answer:
[tex] \huge \boxed{x = \frac{5p}{h} }[/tex]Step-by-step explanation:
Let's solve:
[tex]p = \frac{hx}{5} [/tex]
Multiply both sides of the equation by 5 / h
[tex]p \times \frac{5}{h} = \frac{hx}{5} \times \frac{5}{h} [/tex]
Solve
[tex] \frac{5p}{h} = x[/tex]
Swap the sides of the equation
[tex]x = \frac{5p}{h} [/tex]
Hope I helped!
Best regards!
Answer:
5p
x = ------
h
Step-by-step explanation:
Given: p = hx/5, solve for x:
1. Multiply both sides by 5 to remove the fraction: 5p = hx
2. Divide both sides by h to isolate x:
5p
x = ------
h
PRE algebra !!! PLEASE HELP! Ruth plays on the school basketball team. The table shows the team's results and Ruth's results for each game. What is the experimental probability that Ruth will score 9 or more points in the next game? Express your answer as a fraction in simplest form. 1/7 7/6 6/7 7/1
Answer:
6/7
Step-by-step explanation:
Ruth has played 7 games. She has scored 9 or more points in 6 of them. That means she has a 6/7 probability of doing so again.
Answer:
6/7
Step-by-step explanation:
The gradient at any point on the curve y=f(x) is given by the equation dy/dx=1/✓x-2.The curve passes through the point (2,3).Find the equation of this curve.
Answer:
y = -1.71x + 6.42
Step-by-step explanation:
The gradient at any point on the curve is given by the expression;
[tex]\frac{dy}{dx} = \frac{1}{\sqrt{x } - 2} \\[/tex]
At the point (2,3), the gradient of the curve will be:
[tex]\frac{dy}{dx}|(x = 2) = \frac{1}{\sqrt{ 2}-2 } \\\\\frac{dy}{dx}|(x = 2) = m = - 1.71[/tex]
The equation of this curve at this point can be given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Where [tex]x_1 =2, y_1 = 3[/tex]
Substituting these values into the given equation:
[tex]y - 3 = -1.71(x-2)\\y - 3 = -1.71x + 3.42\\y = -1.71x + 3.42 + 3\\y = -1.71x + 6.42[/tex]
Find the lengths and slopes of the diagonals to name the parallelogram. Choose the most specific name. E (-2, -4), F(0, -1), G(-3. 1) H(-5, -2) Note: Be prepared to explain your answer to this type of question on the test using length and slope. a) Rectangle b) Triangle c) Rhombus d) Square ---------------------------------------------------------------------------------------------------------------------------- What would prove the parallelogram PWRS is a rhombus? P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2) a)Length of QR is 2.2 and slope of QR is -2 b) Slope of QR and PS is -2 and Slope of RS and QP is -1/2 c) Length of QS and PR is 4.2 d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2
Detailed explanation:
The diagonals of the parallelogram must be measured in order to ascertain its name. Let's figure out these numbers:
The slope of the EF is equal to (y2 - y1) / (x2 - x1) = (-1 - (-4)) / (0 - (-2)) = 3 / 2.
Diagonal GH: [(x2 - x1)2 + (y2 - y1)2] is the length of the GH.
= √[(-5 - (-3))² + (-2 - 1)²]
= √[(-2)² + (-3)²]
= √[4 + 9] = √13
Slope of GH is equal to (y2 - y1)/(x2 - x1) = (-2 - 1)/(-5 - (-3)) = -3 / -2 = 3 / 2
Let's examine the outcomes now:
The parallelogram is a rhombus if the lengths of both diagonals are equal (EF = GH) and the slopes of both diagonals are equal (slope of EF = slope of GH).
In our case, EF = GH = √13, and the slopes of EF and GH are both 3/2. Therefore, the parallelogram is a rhombus.
Therefore, the correct answer is c) Rhombus.
For the first question, the most specific name for the parallelogram defined by the coordinates E, F, G, and H is d) Square because the lengths of the sides and the diagonals are equal.
For the second question, the statement that would prove the parallelogram PWRS is a rhombus is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2, as it shows that all sides of the parallelogram are congruent.
To determine the most specific name for the parallelogram defined by the given coordinates, we need to analyze the properties of the shape based on the lengths and slopes of its diagonals.
Let's analyze each option:
a) Rectangle: In a rectangle, opposite sides are parallel and equal in length.
Diagonals are also congruent.
To determine if the parallelogram is a rectangle, we need to find the lengths of the diagonals.
Using the distance formula, we find that the length of EF is approximately 4.47 units, while the length of GH is approximately 4.24 units.
Since the diagonals are not congruent, the parallelogram is not a rectangle.
b) Triangle: A triangle is a three-sided polygon, which is not applicable to the given parallelogram.
c) Rhombus: In a rhombus, all sides are congruent.
The diagonals of a rhombus are perpendicular bisectors of each other. To determine if the parallelogram is a rhombus, we need to compare the slopes of the diagonals.
The slope of EF is -3/2, while the slope of GH is -3/2.
Since the slopes are equal, and the lengths of the sides are not given, we cannot determine if the parallelogram is a rhombus solely based on the given information.
d) Square: A square is a special type of rectangle and rhombus, where all sides are congruent and all angles are right angles.
Since we cannot determine if the parallelogram is a rhombus, we cannot conclude that it is a square.
In conclusion, based on the given information, we cannot determine the most specific name for the parallelogram defined by the coordinates.
For the second question, to prove that the parallelogram PWRS is a rhombus, we would need to show that the lengths of the sides are congruent and that the diagonals are perpendicular bisectors of each other.
However, based on the given options, we do not have the required information to prove that PWRS is a rhombus.
For similar question on parallelogram.
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Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF).
When graphed, the function gives a line with a slope of 1.55. See the figure below.
If the monthly cost for 15 HCF is $47.84, what is the monthly cost for 9 HCF?
Answer:
The monthly cost for 9 HCF is $38.54
Step-by-step explanation:
The graph is missing; however, the question can still be solved
Given
Slope = 1.55
When monthly cost = $47.84, Amount of water = 15 HCF
Required
Determine the monthly cost for 9 HCF
From the question, we understand that it is a linear function;
Linear functions are of the form
[tex]y = mx + b[/tex]
Where y is the function of x and m is the slope
In this case; the function is the monthly water bill
and x is the amount of water
Solving for b
When monthly cost = $47.84, Amount of water = 15 HCF
The function is as follows;
[tex]47.84 = 1.55 * 15 + b[/tex]
[tex]47.84 = 23.25 + b[/tex]
Subtract 23.25 from both sides
[tex]47.84 - 23.25= 23.25 - 23.25 + b[/tex]
[tex]24.59 = b[/tex]
[tex]b = 24.59[/tex]
Solving for the monthly cost for 9 HCF
Here, we have that
[tex]x = Amount\ of\ water = 9[/tex]
[tex]m = Slope = 1.55[/tex]
[tex]b = 24.59[/tex]
Substitute these values in the linear function; [tex]y = mx + b[/tex]
[tex]y = 1.55 * 9 + 24.59[/tex]
[tex]y = 13.95 + 24.59[/tex]
[tex]y = 38.54[/tex]
Hence, the monthly cost for 9 HCF is $38.54
Use the discriminant to describe the roots of each equation. Then select the best description.
7x2 + 1 = 5x
double root
real and irrational root
real and rational root
imaginary root
Help please
Answer:
It is an imaginary root.
Step-by-step explanation:
When we rearrange the formula, we get 7x^2 - 5x + 1 = 0
When we put it in the quadratic formula: x = (−b±√b^2−4ac ) over 2a, we get x = 5 ± √-5^2-4(7)(1) over 2(7)
The discriminant is inside the square root. It is a -3. And because it is negative, we know that the root is an imaginary root.
In the function F(t) = 50(1.274, what is the rate of change?
O A. 2% decay
O B. 20% decay
O C. 20% growth
O D. 2% growth
Answer:
c
Step-by-step explanation:
math
Complete the recursive formula of the arithmetic sequence -17, -8, 1, 10,... a(1)= a(n)=a(n-1)+
To find a(1), simply look at the first term, which is -17. This gives a starting point for the recursive formula.
Then, we want to write the recursive formula as a(n) = a(n - 1) + c, where c is the number you add to a term to get the next term. You can see from the values given that you are adding 9 to each term to get the next one, so the recursive formula would be a(n) = a(n - 1) + 9.
First term of sequence of arithmetic (a₁) is -17 and aₙ is -17 + 9(n-1)
What is arithmetic sequence?
A arithmetic sequence is defined as an arrangement of numbers which is particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
What is geometric sequence?The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Given data :
The arithmetic sequence -17, -8, 1, 10,...
First term of sequence of arithmetic (a₁) = -17
The common difference of arithmetic (d) = difference between the two term
The common difference of arithmetic (d) = -8 - (-17)
The common difference of arithmetic (d) = -8 + 17
The common difference of arithmetic (d) = 9
To determine the n term of arithmetic sequence
The nth term of a arithmetic sequence is expressed as :
aₙ = a₁ + (n-1)d
substitute the values of a₁ and d in the formula,
aₙ = -17 + (n-1)9
Let n = 5
a₅ = -17 + (5 - 1)9
a₅ = -17 + (4)9
a₅ = -17 + 45
a₅ = 28
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Find the equation of the line: With an x intercept of 4 and ay intercept of −1.5.
Answer:
y = (3/8)x - 1.5
Step-by-step explanation:
Use the slope-intercept form y = mx + b. Substitute -1.5 for b, 4 for x and 0 for y. Then: 0 = m(4) - 1.5, or
4m = 1.5, or
The slope is m = 1.5/4, or m = 0.375, or m = 3/8.
Note that the x-intercept can be treated just like any other point: (4, 0)
Then the desired equation is y = (3/8)x - 1.5
Answer:
[tex]\boxed{y=\frac{3}{8} x-1.5}[/tex]
Step-by-step explanation:
Part 1: Determining slope from two given points
We are given the points [tex]x=4[/tex] and [tex]y=-1.5[/tex]. We can go ahead and make the first part of the equation because we are given one of the unknowns (the y-intercept, or [tex]b[/tex]). The equation becomes [tex]y=mx-1.5[/tex].
Part 2: Determine the coordinate points
[tex]x=4[/tex] is a x-intercept, meaning it crosses the x-axis at this point. The y-value is [tex]0[/tex] ⇒ [tex](4, 0)[/tex] is the first point.
[tex]y=-1.5[/tex] is a y-intercept, meaning it crosses the y-axis at this point. The x-value is [tex]0[/tex] ⇒ [tex](0, -1.5)[/tex] is the second point.
Now, plug these values into the point-slope formula: [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-1.5 - 0}{0 - 4}[/tex][tex]m = \frac{-1.5}{-4}[/tex][tex]m = \frac{3}{8}[/tex]Plug this information into the equation to get your final answer of [tex]\boxed{y=\frac{3}{8} x-1.5}[/tex].
6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that their vertices will be the given points, if a ∥ b ? WILL MARK BRAINLIesT
Answer:
96
Step-by-step explanation:
Using side b as the base, 4 points makes 3 bases (the space in between). With three bases, you can have 3 bases of 1 segment, 2 bases of 2 segments, and 1 base of 3 segments. This equals 6 bases. Each of these can connect to a point on line a. 6x6=36
Using side a as the base, 6 points makes 5 bases. With 5 bases, you can have 5 bases of 1 segment, 4 bases of 2 segments, 3 bases of 3 segments, 2 bases of 4 segments, and 1 base of 5 segments. This equals 15 bases. Each of these can connect to a point on line b. 15x4=60
36+60=96
Answer:
10
Step-by-step explanation:
Find the slope of the line in the graph
answer choices:
a. 2
b. -2
c. -1
d. 1
Answer:
1
Step-by-step explanation:
We pick two points on the line and use the slope formula
Two points ( 0,2) and ( 1,3)
m = ( y2-y1) / ( x2-x1)
= ( 3-2) /( 1-0)
= 1 /1
= 1
Answer:
d. 1
Step-by-step explanation:
Well to find slope we'll use the following formula,
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
We'll use the points (0,2) and (1,3),
y2 is 3 y1 is 2 3-2 = 1
1-0 = 1
Thus,
the answer is d. 1.
Hope this helps :)