Answer:
c = 36
Step-by-step explanation:
Use the formula (b/2)^2 to solve for the max or min.
ax^2 + bx + c
b = 12
(12/2)^2
6^2 = 36
You can check you work
y = x^2 + 12x + 36
y = (x + 6) (x + 6) It works!
Answer:
Add a picture please :)
Step-by-step explanation:
Given :
A point ( 1 ,4 ,5 ).
To Find :
The projection of the point on the xy-plane .
Solution :
Now , to find projection of a point in a plane in a plane we need to replace the coordinate of that remaining axis which is not in the plane .
Here , the plane given is xy-plane . So , remaining axis is z .
So , we replace coordinate of z =0 .
Therefore , the projection of the point ( 1 ,4 ,5 ) on the xy-plane is ( 1 ,4 ,0 ) .
Hence , this is the required solution .
Answer: 3
Step-by-step explanation:
All the corners of a rectangle is equal to 90 degrees. So you need to set (x-1) and (2x+10) equal to 90 and then solve for x.
(x - 1) + (2x + 10) = 90
<em>Combine the like terms...
</em>3x + 9 = 90
<em>Subtract both sides by 9...
</em>3x + 9 - 9 = 90 - 9
3x = 81
<em>Divide both sides by 3...
</em><em>3x = 81
</em>(3x) / 3 = 81 / 3
x = 27