Step-by-step explanation:
<u>The volume of rectangular prism:</u>
<u>Given:</u>
- l = 8 m, w = 4 m, h = 5 m
<u>The volume is:</u>
<u>Correct choices are:</u>
Answer:
Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .planation:
Answer:
(- 9, - 9)
Step-by-step explanation:
Given the 2 equations
3x - 4y = 9 → (1)
- 3x + 2y = 9 → (2)
Adding (1) and (2) will eliminate the term in x
(1) + (2) term by term
(3x - 3x) + (- 4y + 2y) = (9 + 9)
0 - 2y = 18
- 2y = 18 ( divide both sides by - 2 )
y = - 9
Substitute y = - 9 into (1) or (2) and evaluate for x
(1) → 3x + 36 = 9 ( subtract 36 from both sides )
3x = - 27 ( divide both sides by 3 )
x = - 9
Solution is (- 9, - 9)
Answer:
y=5x+8
Step-by-step explanation:
If its perpendicular it will have opposite slope but the same y intercept
We can solve this by using the P<span>ythagorean theorem which is below:

Or we can say
</span>

<span>w = widht
h = height
d = diagonal measure
With that said, we know the height is .75 times the width so .75w. We also know d = 34, which is our diagonal measure.
w = don't know yet but need to find
h = .75w
d = 34
Now lets plugin the information we know into our equation</span>

Now lets to the math

Combine like terms
Divide both sides of the equal sign by 1.5625
Now take the square root on both sides of the equal sign

So the width is 27.2
We can check this by putting 27.2 back into our original equation
