Answer:
The correct option is;
y minus x = negative 4
(y - x = -4)
Step-by-step explanation:
Given that the line y = x - 4 of the graph passes through the points (0, -4) and (4, 0)
Comparing with the general equation of a straight line, y = m·x + c, where m is the slope and c is the y-intercept gives;
The slope of the equation y = x - 4 = 1
The y-intercept of the equation y = x - 4 = -4
Two equations will have an infinite number of solutions when they are on the same line, that is having the same slope and intercept, we check for the slope and the intercept of the given options as follows;
For y - x = -4, we have;
y = x - 4 which is the same as the given equation and both equations will have an infinite number of solutions
For y - x = -2 we have;
y = x - 2
The slope is the same as the given equation but the intercept is different giving no solution
For y - 4 = x, we have;
y = x + 4
The slope is the same as the given equation but the intercept is different giving no solution
For y + 4x = 1, we have;
y = 1 - 4x
The slope and intercept are different giving one solution.
Answer:
y - x = -4
Step-by-step explanation:
the pairs of figures is similar.find x.round to the nearest tenth if necessary.from gradpoint plss help me if you have the diagram please solve for me
Answer:
4.1 feet
Step-by-step explanation:
Two shapes are said to be similar if they have the same shape and their sides are in the same proportion, i.e. the ratio of their sides are equal.
Given the two figures attached, the height of the first figure is 11 ft, while its width is 8 ft. For the second figure, its height is x feet and its length is 3 ft. Since the two figure are similar therefore the ratio of their sides are equal. Therefore:
[tex]\frac{x}{11} =\frac{3}{8}\\ \\x=\frac{3*11}{8}=4.125\\ \\x=4.1\ feet(to\ nearest\ tenth)[/tex]
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
C: [tex]\lim_{x \to 0} y \to -\infty[/tex]
Step-by-step explanation:
The y-axis is the asymptote, and G(x) approaches it as x is getting smaller and smaller.
Actually, even more accurate would be to write
[tex]\lim_{x \downarrow 0} y \to -\infty[/tex]
The down arrow shows that x has to approach 0 from the positive side.
A number is doubled, then decreased by 13.7. The result is greater than 125.28. What is the smallest integer that satisfies this condition?
Answer:
x > 69.49
Step-by-step explanation:
Step 1: Write out equation
2x - 13.7 > 125.28
Step 2: Add 13.7 to both sides
2x > 138.98
Step 3: Isolate x by dividing both sides by 2
x > 69.49
So x has to be greater than 70 in order to fit into the question context.
Answer:
70
Step-by-step explanation:
Let x be the desired integer. Then 2x-13.7>125.28. Adding 13.7 to both sides gives 2x>138.98, and dividing both sides by 2 gives x>69.49. The smallest integer that is greater than 69.49 is [tex]$\boxed{70}$[/tex].
Hope this helped! :)
Maths Problem. I can't quite explain it, could you help please? Thanks for every good answer. All shown on the picture :)
This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.
Exam Question
Solve x when 18 + 6x = 2x + 42
Answer:
x=6
Step-by-step explanation:
first write out the equation that is given:
18+6x=2x+42
next subtract 2x from both sides:
18+6x-2x=2x-2x+42, which becomes 18+4x=42
then subtract 18 from both sides:
18-18+4x=42-18, which becomes 4x=24
finally divide both sides by 4:
4x/4=24/4, which becomes x=6
Therefore, x=6 is your answer
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]18+6x=2x+42\\ \\\text{subtract 18 from both parts of the equation }\\\\18+6x-18=6x=2x+42-18=2x+24 \\ \\\text{subtract 2x from both parts of the equation }\\ \\6x-2x=4x=24\\ \\\text{divide by 4 both parts of the equation }\\ \\x=\dfrac{24}{4}=6\\ \\\text{So the solution is ... }\\ \\\large \boxed{\ \ x=6 \ \ }[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
find the coordinates of the point satisfying lying on x axis at a distance of 5 units to the right of x axis lying on y axis at a distance of 3 units below the orgin
Answer:
(5, -3)
Step-by-step explanation:
Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).
On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.
Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.
According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5
Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.
Hence, the coordinates satisfying this points (x,y) is (5, -3)
Any help on this???????????
Answer:
x = 121°
Step-by-step explanation:
The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.
Determine the sum of the first 7 terms of the arithmetic sequence with
general formula t_n = -3n +7
Answer:
your answer is -35.
Step-by-step explanation:
let the first 7 terms be 1,2,3,4,5,6, and 7.
we have ,
general term t_n = -3n +7 ,then
t_1 = -3*1 +7
= -3+7
= 4
t_2 = -3*2 +7
= -6 +7
= 1
t_3 = -3*3 +7
= -9+7
= -2
t_4 = -3*4 +7
= -12+7
= -5
t_5 = -3*5 +7
= -15+7
= -8
t_6 = -3*6 +7
= -18+7
= -11
t_7 = -3*7 +7
= -21+7
= -14
Now, the sum of first seven terms is
4 + 1 + (-2) + (-5) + (-8) + (-11) + (-14)
= 5 -2 - 5 - 8 - 11 - 14
= -35
Answer:
-35
Step-by-step explanation:
Sum of the first 7 terms of AP is:
S_7= 1/2*7(t_1 + t_7)As per general formula t_n= -3n +7 we find the first and seventh terms and the sum of the first 7 terms:
t_1= - 3*1 + 7= 4t_7= - 3*7 + 7= - 14S_7 = 7/2*(4-14)= 7/2*(-10)= - 35Answer is - 35
Emma opens a savings account with $100. She saves $60 per month. The equation T(n) = 60n + 100 can be used to represent this problem, where T(n) is Emma's total savings in dollars and n, represents the number of months. Question 1 (2 points) Which term in the equation is fixed? What does the fixed term represent in the context of the problem?
Answer:
The fixed term is the y-intercept. In this case the y-intercept would be 100.
Step-by-step explanation:
This is because the 100 dollars cannot be changed. You can always change the amount you save per month and the amount of months you save.
Assume that adults have it scores that are normally distributed with a mean of 99.6 and a standard deviation of 16.2 find the first quartile which is the hw score sepedafinf the bottom 25%
Answer:
88.7
Step-by-step explanation:
P(Z < z) = 0.25
z = -0.674
z = (x − μ) / σ
-0.674 = (x − 99.6) / 16.2
x = 88.7
Please help.. I'm really confused tbh
X axis is the horizontal axis and y is the vertical.
On a graph, quandrant 1 is the upper right side which requires both x and y to be positive.
Quadrant 2 is upper left, which is negative x and positive y.
Quandrant 3 is lower left, which is negative x and y.
Quadrant 4 is lower right, which is positive x and negative y.
X< 0 is negative and y > 0 is positive.
This matches quadrant 2
The answer is B.
Pleasee HELP I HAVE TO TURN THIS IN pleaseee
Answer:
Below
Step-by-step explanation:
The surface are is given by this formula:
Sa= area of the base*the heigth + the area of the base *2
●●●●●●●●●●●●●●●●●●●●●●●●
2)
The base here has a triangular form.
Let A be the area of this triangle.
A= (6*8)/2 = 24 cm^2
Sa = A* 6 + A*2
Sa= 24*6 + 24*2
Sa = 192 cm^2
●●●●●●●●●●●●●●●●●●●●●●●●
The base here is a circle.
The area of a circle is :
A= r^2 * Pi
r is the radius (here 12 km)
A = 12^2* Pi
A= 144 Pi cm^2
Sa = 2*A + A* h
Sa = 7* 144* Pi + 2* 144* Pi
Sa= 4071.504
So the surface area is aporoximatively 4072 km^2
In how many ways can you arrange 4 different colored balls? 4,8,4!,3!,5!
Answer:
We can arrange 4 different colored balls in 24 ways.
Step-by-step explanation:
We have to find the number of ways in which we can arrange 4 different colored balls.
Firstly, we have to decide that either we use Permutation or we use Combination.
A Permutation is used when the order of arranging the numbers matters while on the other hand, a combination is used when the order of arranging the numbers doesn't matter.
So, in our question; the ordering matters to us as a ball which is placed in the first place can't be put again put in other places.
Number of ways of arranging 4 different colored balls = [tex]^{4}P_4[/tex]
= [tex]\frac{4!}{(4-4)!}[/tex] {[tex]\because ^{n} P_r = \frac{n!}{(n-r)!}[/tex] }
= 4! = [tex]4 \times 3 \times 2\times 1[/tex]
= 24 ways
Hence, we can arrange 4 different colored balls in 24 ways.
A track star runs twice a day. In the morning, he runs on a track that is 2 1/2 miles per lap and he runs 3 1/2 laps. In the afternoon he runs on a track that is 1 3/10 miles per lap and he runs 3 laps. How
many total miles does he run in a day?
Answer:
12.65 miles
Step-by-step explanation:
he runs on a track that is 2 1/2 miles per lap and he runs 3 1/2 laps:
2 1/2 *3 1/2= 5/2 * 7/2=35/4=8.75 miles
afternoon he runs on a track that is 1 3/10 miles per lap and he runs 3 laps
1 3/10 *3=13/10*3=39/10= 3.9
total miles he runs in a day: 8.75+3.9= 12.65 miles
You want to find the area of the front of a house whose shape is a triangle on top of a rectangle with a width of 11. The triangle's height is 13 and the rectangle's height is 7. What is the total area of the front of the house? Round to the nearest tenth. Do not include square units in your answer.
Answer: 148.5
Step-by-step explanation:
To find the area of this shape, comprised of a rectangle and a triangle, we can find the area of each shape and add them together.
The area of a triangle is 12⋅b⋅h. We are given the triangle's height, 13. The base of the triangle will be the same as the width of the rectangle, which we also know: 11. Now we can calculate the area of the triangle:
A = 1/2⋅b⋅h
A = 12⋅11⋅13
A = 71.5
Now we can find the area of the rectangle, which is l⋅w. The width of the rectangle is 11, which is the same as the base of the triangle; the length is 7:
A =l⋅w
A = 7⋅11
A = 77
Finally, we can add together the area of the triangle and the rectangle to find the total area:
A = 71.5 + 77 = 148.5
The total area of the front of a house will be 148.5.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A rectangle has a width = 11
The triangle's height = 13
The rectangle's height = 7
Now,
Since, The base of the triangle will be the same as the width of the rectangle.
Hence, The area of rectangle = 7 x 11
= 77
And, The area of triangle = 1/2 x 11 x 13
= 71.5
Thus, The total area of the front of a house = 77 + 71.5
= 148.5
Therefore, The total area of the front of a house will be 148.5.
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50 Pts!! Brainliest!! Answer ASAP, thx.
Answer:
1/625
Step-by-step explanation:
When you multiply, you add the exponents. You now have [tex]6^{-4}[/tex]. This is equivalent to [tex]\frac{1}{5^{4} }[/tex] which equals 1/625.
Answer:
1/625
Step-by-step explanation:
5^ -1 * 5^-3
The bases are the same, so we can add the exponents
5^ (-1+-3)
5^-4
We know that a^-b = 1/ a^b
1/5^4
1/625
The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.
When the water was 4 feet from the end of the hose, what was its height above the ground?
3.2 feet
4.8 feet
5.6 feet
6.8 feet
Answer: A) 3.2 ft
Step-by-step explanation:
f(4) = -0.3(4)² + 2(4)
= -4.8 + 8
= 3.2
Answer:
3.2 feet
Step-by-step explanation:
2.) Evaluate 6a² if a = 4
Answer:
96
Step-by-step explanation:
We simply need to plug in a = 4 so 6a² = 6 * 4² = 6 * 16 = 96.
Does point A on the graph represent a pair of possible values of m and w?
Yes or no because 20 is or is not equal to 2.5 times 1.
Answer:
No, because 30 is not equal to 2.5 times 6
Step-by-step explanation:
2.5 times 6 = 15
In the diagram, PQRT is a rhombus. STUQ and
PUR are straight lines. Find the values of x and y.
Step-by-step explanation:
since PQRT is a rhombus,
URQ=TPU
y=180-90-24=66
x=180-32-90-24=34
2 + 2 Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
Correct answer is option D. 96.4 yd.
Step-by-step explanation:
Please refer to the attached figure for labeling of the given diagram.
ABC is a triangle with the following labeling:
A is the hole, B is the Tee and C is the point where the ball is.
Sides are labeled as:
[tex]a =255\ yd\\c = 305\ yd\\\angle B =17^\circ[/tex]
To find:
Side [tex]b = ?[/tex]
Solution:
Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.
We can use cosine formula here to find the value of the unknown side.
[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Putting all the values:
[tex]cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd[/tex]
So, the distance between the Ball and hole is 96.42 yd
Correct answer is option D. 96.4 yd.
Answer:
D.) 96.4 yd
Step-by-step explanation:
I got it correct on founders edtell
What is the result of 36 divided by 9? Use the number line to find the answer.
Answer:
4
Step-by-step explanation:
A double-blind experiment was conducted to evaluate the success of a Zika virus vaccine. What is the purpose of keeping treating physicians unaware of
the treatment status of the experimental subjects?
To eliminate grounds for malpractice suits
To ensure subjects were assigned randomly to treatments
To remove a possible source of bias
To make sure nobody is injured
To avoid the placebo effect
To remove a possible source of bias
Step-by-step explanation:
If the test subjects know they are part of an experiement, this could cause them to think that it worked and it could either lead to untruthful answers or the test subjects tricking themselves to think that the vaccine worked
(SAT Prep) In the given figure, a ∥ b. Find the value of z. A. 50° B. 90° C. 45° D. 75°
Answer: The awnser is 45 degrees
Step-by-step explanation:
As you can see there are two z's which equal to 90 degrees and one z eqquals to 45 degrees.
assuming there are no reflection of diliations explain how you would write the equation of the function whose is stretched graph belowh
Answer:
Start with the parent function y=1/x^2
Add 3 to x in the denominator, because the graph is shifted left 3.
Add 1 to the fraction, because the graph is shifted up 1 unit
Step-by-step explanation:It is the answer 100% on assignment
what is a continent To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10
Answer:
To eliminate solve for y, we need to eliminate x and we will do that by multiplying the first equation by 8 and multiply the second equation by 9.
y=6
Step-by-step explanation:
In the equations:
9x + 3y = -18 -----------------------------------------------------------------(1)
8x + 7y = 10 --------------------------------------------------------------------(2)
To solve for y, we will have to eliminate x
To eliminate x, we will follow the steps below;
multiply equation (1) through by 8 and multiply equation (2) through by 9
The resulting equations are
72x + 24y = -144 ----------------------------------------------------------(3)
72x + 63y = 90 -----------------------------------------------------------(4)
Then we will go ahead and subtract equation (4) from equation (3)
39y =234
divide both-side of the equation by 39
39y /39=234/39
y=6
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?
Answer:
A. (-8, 20)
Step-by-step explanation:
The formula for dilations is
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor
The first step is to plug in the numbers appropriately
[tex](-2*4,5*4)[/tex]
Then, multiply -2 by 4 and 5 by 4 to get
[tex](-8, 20)[/tex]
So your answer is (-8, 20)
Hope this helps
Have a great day! :)
Given ADC ACB and BDC BCA prove a squared + b squared = c squared. Use the two Column proof.
Answer:
a² + b² = c · (e + d) = c × c = c²
a² + b² = c²
Please see attachment
Step-by-step explanation:
Statement, Reason
ΔADC ~ ΔACB, Given
AC/AD = BA/AC, The ratio of corresponding sides of similar triangles
b/e = c/b
b² = c·e
ΔBDC ~ ΔBCA, Given
BC/BA = BD/BC, The ratio of corresponding sides of similar triangles
a/c = d/a
a² = c·d
a² + b² = c·e + c·d
a² + b² = c · (e + d)
e + d = c, Addition of segment
a² + b² = c × c = c²
Therefore, a² + b² = c²
Find the perimeter of parallelogram AFCB.
A. 14
B. 12
C. 28
D. 24
Answer:
C.28
Step-by-step explanation:
It gives you 2 sides.
One of them is 8.
The other one is 12 but the 12 is divided by 2 which is 6.
Since it is a parallelogram there is the same measurements on the opposite sides.
So finally you get 6+6+8+8= 28
The perimeter of parallelogram AFCB is C. 28
How do you calculate a perimeter?
With the purpose to discover the perimeter or distance around the rectangle, we want to add up all four side lengths. this can be performed efficiently by using truly including the duration and the width, after which multiplying this sum by means of when you consider that there are of every facet length.
What is perimeter for instance?The Perimeter is the gap around the item. for instance, your own home has a fenced backyard. the perimeter is the length of the fence. If the yard is 50 toes × 50 feet your fence is 2 hundred feet long.
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