Answer:
k = - 9
Step-by-step explanation:
h(x) = x² + 3
g(x) = x² - 6
g(x) = h(x) + k
x² - 6 = x² + 3 + k
-6 - 3 = k
k = - 9
Answer:
66.24 (This answer does not match to any of the options...)
Step-by-step explanation:
This shape can be divided into 2 different shapes. A triangle and a rectangle.
Area of a Triangle =
× base × height
=
× 8.8 × 7.8
= 34.32
Area of a Rectangle = Length × Width
= (19.2 - 7.8) × (8.8 - (3+3))
= 11.4 × 2.8
= 31.92
Total area = 34.32 + 31.92 = 66.24
Step 1: Find the slope:

This gives you
, but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
![\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D-2%26%3D-%5Cdfrac%7B3%7D%7B2%7D%284%29%2Bb%5C%5C%5B0.5em%5D-2%26%3D-6%2Bb%5C%5C%5B0.5em%5D4%26%3Db%5Cend%7Baligned%7D)
Now take that b-value and plug in into the slope-intercept form:

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
Step-by-step explanation:
