Answer:
9 centimeters
Step-by-step explanation:
Let the width be represented by l - 5, where l is the length.
Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor
A = lw
36 = l(l - 5)
36 = l² - 5l
0 = l² - 5l - 36
Factor:
(l - 9)(l + 4)
Set equal to zero and solve for both solutions:
(l - 9)(l + 4) = 0
l - 9 = 0
l = 9
l + 4 = 0
l = -4
The length cannot be negative, so the answer has to be 9.
The length is 9 centimeters
Answer:
27.3
Step-by-step explanation:
The base of the triangle is,
√(12²-5²)
= √119 = 10.9
The area of the triangle,
5×10.9/2
= 109/4 = 27.25 ≈ 27.3
Answered by GAUTHMATH
Y=6.75x
He charges $6.75 per hour
Answer:
B)
Step-by-step explanation:
Given function:
We need to find the equivalent function.
By looking at the choices, we know that we have to convert the given function into its vertex form.
We apply completing square method to do so.
We have
First of all we make sure that the leading co-efficient is =1.
Since its already 1, so we move ahead to next term.
Isolating and terms on one side.
Subtracting both sides by 10.
In order to make the right side a perfect square trinomial, we will take half of the co-efficient of term, square it and add it both sides side.
square of half of the co-efficient of term =
Adding 9 to both sides.
Since is a perfect square of , so, we can write as:
Adding 1 to both sides:
[Vertex form]
∴ Equivalent function