I would do 10x10-8x8 which is 36 which is 6 times it self
So A=6 in.
There are 109 whole numbers between -32 and 77
Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
Add 5 to both sides
5x = 75 - 25x + 5
Simplify 75 - 25x + 5 to -25x + 80
5x = -25x + 80
Add 25x to both sides
5x + 25x = 80
Simplify 5x + 25x to 30x
30x = 80
Divide both sides by 30
x = 80/30
Simplify 80/30 to 8/3
![x = \frac{8}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B8%7D%7B3%7D)