Answer:
12 m
Step-by-step explanation:
using the congruence thereom:
2x-4 or (RS) = 14 or (LN)
solving for x we see that x=9
then we plug in 9 into the side LM and we get 12
ANSWER: 12
Answer:

Step-by-step explanation:
<u>Quadratic Function</u>
Standard Form of Quadratic Function
The standard representation of a quadratic function is:

where a,b, and c are constants.
When the zeros of f (x1 and x2) are given, it can be written as:
f(x)=a(x-x1)(x-x2)
Where a is a constant called the leading coefficient.
We are given the two roots of f: x1=-3 and x2=4, thus:
f(x)=a(x+3)(x-4)
We also know that f(5)=8, thus:
f(5)=a(5+3)(5-4)=8
Operating:
a(8)(1)=8
Solving:
a=1
The function is:
f(x)=1(x+3)(x-4)
Operating:

Answer:
The statement "
and
are complimentary" is false.
Step-by-step explanation:
Complimentary angles are defined by angles that add up to
. Angles BAF and EAB represent one side of a line, which is
. Therefore, they are actually supplementary and not complimentary. Thus, the statement "
and
are complimentary" is false.
2x + 3y = 3
-10x + 2y = -32
Solve using the substitution method.
Solve for x in the first equation.
2x + 3y = 3
Subtract 3y from both sides.
2x = 3 - 3y
Divide both sides by 2.
x =
-
y
Plug x into the second equation.
-10(
-
y) + 2y = -32
Distribute -10 inside the parentheses.
-15 + 15y + 2y = -32
Combine like terms.
-15 + 17y = -32
Add 15 to both sides.
17y = -17
Divide both sides by 17.
y = -1
Plug y into the first equation.
2x + 3(-1) = 3
Multiply 3 by -1.
2x - 3 = 3
Add 3 to both sides.
2x = 6
Divide both sides by 2.
x = 3
x = 3;
y = -1
The maximum # of video games Jasmine can buy is 24.
1128-72=1056
1056/43=24.55
simplified is 24