Answer:
y=57 degrees and x=66 degrees
Step-by-step explanation:
123+57 =180 so angle y=57 degrees
57+57=114 all triangles = 180 degrees so 180-114=66 degrees=X
8. C
9. C
10. A
Hope this helped!
Answer:
18x - 9
Step-by-step explanation:
Factor the common factor of 9 first which gives 
is the difference of two squares and factors into (2x + 1)(2x - 1)
The complete factorization of
is 9(2x + 1)(2x - 1).
So 9(2x - 1) = 18x - 9 is a factor of the original expression.
Answer:
A = 9/100
B = -[1/100]
C = -[39/100]
Step-by-step explanation:
Given:
0.09x - 0.01y = 0.39
Find:
A,B,C
Computation:
Linear equation;
Ax + By + C = 0
So,
0.09x - 0.01y = 0.39
9x/100 - 1y/100 = 39/100
9x/100 - 1y/100 - 39/100= 0
So,
A = 9/100
B = -[1/100]
C = -[39/100]
Answer:
g(f(x)) = 9x² + 12x + 5
Step-by-step explanation:
g(f(x))
= g(3x + 2) ← substitute x = 3x + 2 into g(x)
= (3x + 2)² + 1
to expand (3x + 2)² = (3x + 2)(3x + 2)
each term in the second factor is multiplied by each term in the first factor
3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis
= 9x² + 6x + 6x + 4 ← collect like terms
= 9x² + 12x + 4
then
g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5