Answer:
Given function:
![q(x)=9x^2-24x+16](https://tex.z-dn.net/?f=q%28x%29%3D9x%5E2-24x%2B16)
To factor a quadratic in the form
, find two numbers that multiply to
and sum to
:
![ac=9 \cdot 16=144](https://tex.z-dn.net/?f=ac%3D9%20%5Ccdot%2016%3D144)
Two numbers that multiply to 144 and sum to -24 are: -12 and -12
Rewrite
as the sum of these two numbers:
![\implies q(x)=9x^2-12x-12x+16](https://tex.z-dn.net/?f=%5Cimplies%20q%28x%29%3D9x%5E2-12x-12x%2B16)
Factorize the first two terms and the last two terms separately:
![\implies q(x)=3x(3x-4)-4(3x-4)](https://tex.z-dn.net/?f=%5Cimplies%20q%28x%29%3D3x%283x-4%29-4%283x-4%29)
Factor out the common term
:
![\implies q(x)=(3x-4)(3x-4)](https://tex.z-dn.net/?f=%5Cimplies%20q%28x%29%3D%283x-4%29%283x-4%29)
Therefore:
![\implies q(x)=(3x-4)^2](https://tex.z-dn.net/?f=%5Cimplies%20q%28x%29%3D%283x-4%29%5E2)
Answer:
18.8
Step-by-step explanation:
Please refer to the image
Step-by-step explanation:
A is in Quadrant I
D is in Quadrant III
Answer:
Sorry, i'm about to hurry rn, this is all can i do for you
Step-by-step explanation:
Solving for X in a Right Triangle
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Sixty-four and nine tenth looks like this: 64 9/10.