21:3
9:3
3:1
there all a 3:1 ratio
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
Answer:
The x-intercept is 5.
Some people prefer you right it as a point (5,0).
Step-by-step explanation:
The x-intercept can be found by setting y=0 and solving for x.
Just like to find the y-intercept you can set x=0 and solve for y.
Let's find the x-intercept.
So we will set y=0 and solve for x:
3x-9y=15
3x-9(0)=15
3x-0 =15
3x =15
Divide both sides by 3:
x =15/3
x =5
So the x-intercept is (5,0).
Answer:
the answer is a
Step-by-step explanation:
