Y=a(x-h)^2+k
vertex form is basically completing the square
what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway
y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13
vertex form is
y=2(x+6)^2+13
Answer:
B. 9 feet
Step-by-step explanation:
area = side^2
side^2 = 84
side = sqrt(84)
side = 9.2 ft
Each side of a wall measures 9.2 ft.
Answer:
im sorry cant help
Step-by-step explanation:
The hypotenuse of the right triangle measures 3 units.
<h3>
How to find the hypotenuse?</h3>
Here we know that both legs measure:
If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:
Then we conclude that the hypotenuse of the right triangle measures 9 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
40% decrease
50=100
30/50=x/100
30=60% of 50
40% decrease of 50 is 30
Step-by-step explanation:
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