The required steps are explained below to convert the quadratic function into a perfect square.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Let the quadratic function be y = ax² + bx + c.
The first step is to take common the coefficient of x². We have
Add and subtract the half of the square the coefficient of x,
Then we have
These are the required step to get the perfect square of the quadratic function.
More about the parabola link is given below.
brainly.com/question/8495504
#SPJ1
Answer:
B, 110
Step-by-step explanation:
Work Backwards!
1.- 260 - 110 = 150 children
2.- 150 X $2.50 (rate of children) = $375
3.- $815 - $375 = $440
4.- $440/$4 (rate of adults) = 110 Adults
Answer:
.
Step-by-step explanation:
Answer:
AB = 9/2 cm
AB = 4.5 cm
Step-by-step explanation:
The area of small rectangle
x * (x-4) = x^2 -4x
The area of the big rectangle
The height is 2x +x and the width is x-2
(2x+x) * (x-2)
(3x) * (x-2)
3x^2 -6x
Add the areas together
x^2 -4x + 3x^2 -6x
4x^2 -10x
This is equal to 36
4x^2 -10x=36
Subtract 36 from each side
4x^2 -10x -36=36-36
4x^2 -10x-36=0
Divide each side by 2
2x^2 -5x -18=0
Factor
(x + 2) (2 x - 9) = 0
Using the zero product property
x+2=0 2x-9=0
x = -2 2x =9
x = -2 x = 9/2
Since we cant have a negative length
x = 9/2
AB = 9/2 cm
