Y=(x+9)(x-3)+c
∵(-3,-36)lies on it.
-36=(-3+9)(-3-3)+c
-36=(-6)(-6)+c
-36=36+c
c=-36-36=-72
y=(x-9)(x+3)-72
y=x^2+3x-9x-27-72
y=x^2-6x-99
Given:
The system of equations is:
Line A: 
Line B: 
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get



Divide both sides by 2.

Substituting
in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting
in the given equations.


This statement is true.
Similarly,



This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
So the volume of the cylinder = pi r^2 * h
Height = 4 feet tall
Radius = 1 foot
So just do pi * 1^2 * 4
3.14 x 1^2 x 4 = 12.56 cubic feet
Answer:
<u><em>16 : 2 + 3 </em></u> (remember pemdas)
Step-by-step explanation:
Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke's age.
16 : 2 + 3 = 11
Answer:
B. 54
Explanation:
Take 72 from 180.
180 - 72 = 108.
Since there are two y's AND they're congruent, divide 108 by two and get 54.