Find the area of the segment to the nearest hundredth, in square centimeters, int
1
1 point
pard
ses
1
dar
E
4 cm
y
OX
60
cory
30
adio
120°
help
Type your answer

Find the area of the segment to the nearest hundredth, in square centimeters,

int
1
1 point
pard

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Ответ:

jwagner2277

08.11.2022

Mathematics

We are given the quadratic function:

$f(x)=x^{2}+14x+40$

The vertex form is given by:

$y=a(x-h)^{2}+k$

So we have to convert our quadratic form into this vertex form.

We can do so by applying factoring by completing the square method.

$f(x)=x^{2}+14x+40$

Step 1:

We take half of coefficient of x and add it to x.

Coefficient of x is 14, half of it is 7.

(x+7)²

Step 2:

Subtract square of 7 that is 49,

(x+7)²-49+40

(x+7)²-9

The vertex form is given by:

$y=(x+7)^{2}-9$

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Find the area of the segment to the nearest hundredth, in square centimeters, int 1 1 point pard ses 1 dar E 4 cm y OX 60 cory 30 adio 120° help Type your answer