Even means g(-x)=g(x)
replace x with -x and see if it simplifies to original functin
g(-x)=(-x-1)²+1
g(-x)=((-1)(x+1))²+1
g(-x)=(x+1)²+1
nope
g(x)=2x²+1
g(-x)=2(-x)²+1
g(-x)=2x²+1
yep
we are done
answer is 2nd one
<u><em>Answer: x=8 and 8=x. *The answer must be have positive sign.*</em></u>
Step-by-step explanation:
addition property of equality is adding the same number to both sides of an equation does not change the equation.
a+c=b+c
distributive property: a(b+c)=ab+ac
add the numbers.
7x-3x=4x
4x-8=24
add by 8 both sides of an equation.
4x-8+8=24+8
simplify by equation.
24+8=32
4x=32
divide by 4 both sides of an equation.
4x/4=32/4
simplify by equation.
32/4=8
32/8=4
8*4=32
4*8=32
It change negative to positive.
x=8 and 8=x
Hope this helps!
Thanks!
Have a great day!
Answer: ∠A=144°
Step-by-step explanation:
∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.
10x+24=6x+72 [subtract both sides by 6x]
4x+24=72 [subtract both sides by 24]
4x=48 [divide both sides by 4]
x=12
Now that we found x, we need to plug it into ∠A.
10(12)+24=120+24=144
We know that ∠A=144°.