Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is [] Please helppp!!
Answers
Answer:
Step-by-step explanation:
slope=(-2-2)/(-2-6)=-4/-8=1/2
eq. of line is
y-2=1/2(x-6)
2y-4=x-6
2y=x-6+4
2y=x-2
or y=1/2x-1
Related Questions
a school has 400 feet of fencing to build a set of 3 athletic fields as shown below. What dimensions should they use to build the largest possible athletic complex. Include appropriate units with your answer.
Answers
The area of a shape is the amount of space it occupies.
The dimensions to build the largest possible athletic complex is 100 by 50 feet
Assume the length of the fence is y.
So, we have:
[tex]\mathbf{Area = xy}[/tex]
[tex]\mathbf{Perimeter = 2y + 4x}[/tex]
Substitute 400 for perimeter
[tex]\mathbf{2y + 4x = 400}[/tex]
Divide through by 2
[tex]\mathbf{y + 2x = 200}[/tex]
Make y the subject
[tex]\mathbf{y = 200 -2x}[/tex]
Substitute [tex]\mathbf{y = 200 -2x}[/tex] in [tex]\mathbf{Area = xy}[/tex]
[tex]\mathbf{Area =x(200 - 2x)}[/tex]
[tex]\mathbf{Area =200x - 2x^2}[/tex]
Differentiate
[tex]\mathbf{A' =200 - 4x}[/tex]
Set to 0
[tex]\mathbf{200 - 4x = 0}[/tex]
Collect like terms
[tex]\mathbf{4x = 200}[/tex]
Divide both sides by 4
[tex]\mathbf{x = 50}[/tex]
Recall that: [tex]\mathbf{y = 200 -2x}[/tex]
So, we have:
[tex]\mathbf{y = 200 - 2 \times 50}[/tex]
[tex]\mathbf{y = 200 - 100}[/tex]
[tex]\mathbf{y = 100}[/tex]
Hence, the dimensions to build the largest possible athletic complex is 100 by 50 feet
Read more about areas and perimeters at:
https://brainly.com/question/11957651
Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 - 4x + 9
**Remember y = 0**
O Real
o Complex
Answers
Answer:
[tex] {x}^{2} - 4x + 9 = 0 \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x=\frac{-( - 4)\pm\sqrt{( - 4)^2-4(1)(9)}}{2(1)} \\x=\frac{ 4\pm\sqrt{ 16-36}}{2} \\ x=\frac{ 4\pm\sqrt{ - 20}}{2} \\ x=\frac{ 4\pm2i\sqrt{ 5}}{2} \\ x = 2\pm \: i\sqrt{ 5} \\ D = {b^2-4ac} \\D = { 16-36} \\ = - 20 < 0 \rightarrow \: x \in \: \mathbb{C} \: \\ x \: is \: complex [/tex]
Write an algebraic expression to represent the coast of m gallons of gassoline if each gallon coast $1.45
Answers
Answer:
$1.45m
Step-by-step explanation:
the nth term of a sequence is n(n-8)÷√n+3
find the 1st and 6th terms
Answers
Answer:
-4 and -2✓6+3
Step-by-step explanation:
use pemdas
1(1-8)÷✓1 + 3
-7÷1+3
-4
6(6-8)÷✓6+3
-12÷✓6+3
multiply fraction by ✓6 on bottom and top to get rid of square root on bottom
-12✓6÷6+3
divide -12 by 6 and put radical next to it
-2✓6+3
Needs to show work.
Find the X intercept and the Y intercept for 2x-6y=12
Answers
Answer:
x: (6,0)
y: (0,-2)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y intercept, substitute in 0 for x and solve for y .
Ex -
X : 2x -6(0)=12
2x=12
2 cancels out with 2
12/2 = 6
Y: 2(0 )- 6y =12
-6y=12
negative 6 times negative 6 cancels
12/-6 = -2
Answer:
See Below
Step-by-step explanation:
Given: 2x-6y=12
Plug 0 in the equation for y:
y is zero
2x-6(0)=12
2x=12
The x-intercept: (6,0)
Plug 0 in the equation for x:
x is zero
2(0)-6y=12
−6y=12
The y-intercept: (0,−2)
Which property of multiplication is shown? 3 * (5 * 7) = (3 * 5) * 7
Answers
Answer:
the associative property
Answer:
It is the associative property of multiplication
Step-by-step explanation:
It is generally expressed as
(ab)c=a(bc)
3*(5*7)=(3*5)*7
105=105
Pls answer the question in the photo
Answers
Answer:
correct answer to the problem is x= -9
Joe answered correctly.
Answer: nick
Step-by-step explanation: subtract 6 from both sides to get 0 on one side and then divide both sides by 2 to get x on its own
Adrian and his children went into a restaurant where they sell hotdogs for $3 each
and hamburgers for $8 each. Adrian has $80 to spend and must buy no less than 12
hotdogs and hamburgers altogether. If x represents the number of hotdogs
purchased and y represents the number of hamburgers purchased, write and solve a
system of inequalities graphically and determine one possible solution.
need both inequalities and how many hotdogs and burgers he can buy
Answers
Answer: 16x + 4y= 80
16 (3) + 4 (8) = 80
Show all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of negative 16 end quantity
Answers
Answer: 50
Step-by-step explanation:
[6+√-64] × 3-√-16
(6+8i)(3-4i)
6(3-4i)+8i(3-4i)
18-24i+24i+32
18+32=50
the answer is 50Answer:
fifty
Step-by-step explanation:
fifty
Cómo hallar el dominio de una función identidad?
Answers
Answer:
Cómo hallar el alcance de una función cúbica? or How to find the scope of a cubic function?
Step-by-step explanation:
Find the mass of 250 ml of water. The density of water is 1 g/ml.
D= Density
M=
Volume - 10ml
What is the Mass?
V=
Mass - 70
Density
Alaalam
Answers
Answer:
250g
Step-by-step explanation :
250ml x 250g/ml = 250 g
To get the mass (in grams), you need to divide the ml's off and get the g alone.
Find the value of x. 1/2 - 15 = 2/5x - 7
Answers
Answer:
(Hope this helps can I pls have brainlist (crown)
Step-by-step explanation:
In pic
(Credit: Symbolab )
x = 80
In the rectangle below, AE = 2x+5, CE=5x-13, and mZECD=28°.
Find BE and m ZEBC.
А
WO
B
E
B
B
m ZEB
D
С
Answers
Answer:
https://www.portnet.org/cms/lib6/NY01001023/Centricity/Domain/290/Scanned-image.pdf
Step-by-step explanation:
...
Which equation represents a line which is parallel to the line 3y−2x=−24?
Answers
Answer:
Any equation of the line with slope 2/3.
Parallel lines have identical slope.
Step-by-step explanation:
3y - 2x = - 24
3y = 2x - 24
y = 2/3x - 8
The population of a city decreases by 0.9% per year. If this year's population is 338,000, what will next year's population be, to the nearest individual?
Answers
Answer:
The population will be 334,958.
Step-by-step explanation:
Multiply 338,000 by 0.009 to get the answer. The reason is to multiply by a percentage, you move the decimal two spots to the left. For example, 0.9 -> 0.009. Another would be 3 -> 0.03.
The radius of a circle with centre O is 5 cm. The lengths of the chords AB and BC are 6 cm and 8 cm respectively. The midpoints of the chords are X and Y respectively. Find the perimeter of the quadrilateral OXBY.
Answers
Answer:
Step-by-step explanation:
AB=6 cm
BX=1/2 AB=1/2 ×6=3 cm
BC=8 cm
BY=1/2×BC=1/2×8=4 cm
perpendicular bisector of a chord always passes through the center.
so quadrilateral OXBY is a rectangle.
Perimeter=2(BX+BY)=2(3+4)=2×7=14 cm.
At a farm the ratio of cows to horses was 8 : 3. If there were 24 cows at the farm, how many horses were there?
Answers
Since there are 24 cows we can do 24/8 and get 3. Then multiply the amount of horses by 3.
3(3) = 9.
Therefore there would be 9 horses.
No one answered the palm tree question so I will put this question up for 15 points. Please answer now it’s due!
Answers
Answer:
15 feet
Step-by-step explanation:
Answer:
15 feet is the answer ok
In 1993, the moose population in a park was measured to be 4350. By 1999, the population was measured again to be 4890. If the population continues to change linearly: Find a formula for the moose population, P , in terms of t , the years since 1990.
Answers
Answer:
P = 90t
t = 31 years
Step-by-step explanation:
An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 hours. If the pool is [tex]\frac{1}{3}[/tex] filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.
_____________ hours
Answers
Answer:
40 hoursStep-by-step explanation:
Rate of filling is 1/15Rate of draining is 1/20If both lines are open the rate of filling is:
1/15 - 1/20 = 4/60 - 3/60 = 1/60 per hourSince tank is 1/3 full we need to fill the remaining 2/3 of it.
Time required:
2/3 : 1/60 = 2/3*60 = 40 hoursWhich graph represents the function f(x)=0.5x+4?
Which graph represents the function f(x)=−2x−1?
Answers
Answer:
Step-by-step explanation:
1.)The 4th picture will be the correct one.
Step-by-step explanation:
The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1
So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.
So, the graph will translate down by 1 unit.
Therefore, the 4th picture will be the correct one.
2.)-(2^x) - 1 will have a y-intercept of -1-1 = -2, a horizontal asymptote of y=-1, and will be decreasing everywhere. The third selection is the graph that has these characteristics.
Answer:
graph 4
Step-by-step explanation: because I love you <3 ;)
If y varies directly with x which equation describes x = 72 and y = 36?
Answers
Answer:
k = 1/2
Step-by-step explanation:
direct variation equation is y = kx where 'k' is the constant of variation
substitute 36 for 'y' and 72 for 'x' to get:
36 = 72k
solve for 'k' to get:
k = 36/72 or k = 1/2
Erin ran 5 km in 25 minutes. What is her speed in km per minute? (Answer as a decimal)
Answers
Answer:
what what what what what what what what
James has $10 less than three times the amount Amy has. Which expression represents James' amount if Amy has d dollars?
Answers
Answer:
james has 3d-10
Step-by-step explanation:
Amy has d dollars
james has 10 less than 3 times Amy's amount
so the answer will be 3d - 10
hope it helps : )
The expression that represents James' amount is 3d - 10. Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A sentence-to-equation translation is a process of turning a given statement into an expression or equation.
James has $10 less than Amy, who has three times as much money.
Let d be the amount Amy has. Then the expression is given as,
⇒ 3d - 10
The expression that represents James' amount is 3d - 10. Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
The missing options are given below.
a) 3d - 10
b) 10 - 3d
c) 3d - 30
d) 30 - 3d
The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period are $ {fixed}; variable cost per unit is $ 217; selling price per unit is $ 305; determine the break-even point in units if rent and utilities are increased to $ 5420.
Answers
Using the profit concept, it is found that the break-even point is of 61.6 units.
Profit is given by revenue subtracted by cost.The break-even point is when the revenue is the same as the cost, which means that the profit is zero.In this problem:
Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:[tex]C(x) = 217x + 5420[/tex]
Selling price per unit of $305, thus, the revenue equation is given by:
[tex]R(x) = 305x[/tex]
The break-even point is the value of x for which:
[tex]R(x) = C(x)[/tex]
Then
[tex]305x = 217x + 5420[/tex]
[tex]88x = 5420[/tex]
[tex]x = \frac{5420}{88}[/tex]
[tex]x = 61.6[/tex]
The break-even point is of 61.6 units.
A similar problem is given at https://brainly.com/question/4001746
solve pls brailiest!
Answers
Answer:
73,if you need explanation then let me know, always happy to help anyone! btw if you could give me brainliest then that would be great, i also undestand if not because im not the first to answer so dont be shy and hit theirs with brainliest if you want! :))
Step-by-step explanation:
can anyone heelp me pls
Answers
Answer:
lotion 3,. suspension 2, capsule 1 , I think
what is rhe vertex of the graph of the function f(x)=x²+6x+9
Answers
Solve: sin(11pi/2 +x)= -1/2 for [pi, 2pi]
Answers
Step-by-step explanation:
Step-by-step explanation: Given the expression sin(11pi/2 +x) =-1/2. Take the arcsin of both sides. sin⁻¹[sin(11pi/2 +x)]
The owner of a used car dealership is trying to determine if there is a relationship between the price of a used car
and the number of miles it has been driven. The owner collects data for 25 cars of the same model with different
mileage and determines each car's price using a used car website. The analysis is given in the computer output.
Predictor Coef SE Coef t-ratio
р
Constant 2415712 2164.1 2.965
0.046
Mileage
-0.181 0.024 5.377
0.000
s = 3860.7
R-S = 68.0%
R-Sq (Adi) = 69.59
Using the computer output, what is the value of the coefficient of determination?
00.46
0.68
N
0.70
0.82
Answers
The value of the coefficient of determination is gives the percentage of the variation which is explained by the regression line. The value of the coefficient of determination is the R² value which is 68%.
The Coefficient of determination is the proportion of change in the regression model caused by the regression line. From the computer output, the coefficient of determination is denoted as R² ; which is given as 0.68 Expressing the value as a percentage ; 0.68 × 100% = 68%Therefore, the coefficient of determination is 0.68
Learn more : https://brainly.com/question/25178853
Answer:
B) .68
Step-by-step explanation:
EDGE