The last one because it take more time
X^2 + 16x + ?
a^2 + 2ab + b
(a + b)^2 which is a perfect square.
To find b to determine the last value, you divide 16x by 2x.
so:
b = 8
the last value would be 8^2 which is 64.
Hence answer is C - 64
Yes, because the base height and base are twice the amount in the second one and the triangles match up and are scaled.
Answer:
See Explanation
Step-by-step explanation:
Given
![x + 4y < 4](https://tex.z-dn.net/?f=x%20%2B%204y%20%3C%204)
The question is incomplete, as what is to be done is not stated.
However, possible sub-questions could be to determine the slope and the y-intercept for the boundary line.
To calculate slope, we have:
![x + 4y < 4](https://tex.z-dn.net/?f=x%20%2B%204y%20%3C%204)
Solve for 4y
![4y < - x + 4](https://tex.z-dn.net/?f=4y%20%3C%20-%20x%20%2B%204)
Solve for y
![y < -\frac{x}{4} + \frac{4}{4}](https://tex.z-dn.net/?f=y%20%3C%20-%5Cfrac%7Bx%7D%7B4%7D%20%2B%20%5Cfrac%7B4%7D%7B4%7D)
![y < -\frac{1}{4}x + 1](https://tex.z-dn.net/?f=y%20%3C%20-%5Cfrac%7B1%7D%7B4%7Dx%20%2B%201)
A linear inequality is represented as:
![y](https://tex.z-dn.net/?f=y%20%3Cmx%20%2B%20b)
Where
and ![b = y\ intercept](https://tex.z-dn.net/?f=b%20%3D%20y%5C%20intercept)
So:
By comparison:
![mx = -\frac{1}{4}x](https://tex.z-dn.net/?f=mx%20%3D%20-%5Cfrac%7B1%7D%7B4%7Dx)
![m = -\frac{1}{4}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B4%7D)
and
![b = 1](https://tex.z-dn.net/?f=b%20%3D%201)
So:
![Slope = -\frac{1}{4}](https://tex.z-dn.net/?f=Slope%20%3D%20-%5Cfrac%7B1%7D%7B4%7D)
![y\ intercept = 1](https://tex.z-dn.net/?f=y%5C%20intercept%20%3D%201)
<em>Also, see attachment for graph</em>
Point slope form is y-y1=m(x-x1)
M is the slope
y1 and x1 come from the point given
Answer:
Y+8=1/2(x-0)
If it should be simplified y+8=1/2x
The x value is 0 because when the line intercepts the y axis x=0