Answer:
Step-by-step explanation:
2{5x²-15+(-9xy²)}-(2y²+4x-xy²)+3x²
=2{5x²-15-9xy²}-(2y²+4x-xy²)+3x²
=10x²-30-18xy²-2y²-4x+xy²+3x²
=13x²-2y²-17xy²-4x-30
Answer:
(3x-1) (3x+1)
Step-by-step explanation:
9x^2-1
Rewriting as
(3x)^2 - 1^2
This is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(3x-1) (3x+1)
Answer:
see explanation
Step-by-step explanation:
For a given scale factor k
If k > 1 then expansion
If k < - 1 then expansion in the opposite direction
If 0 < k < 1 or - 1 < k < 0 then contraction
k = - 2 ← expansion in opposite direction
k = 1.5 ← expansion
k =
← contraction
k = -
← contraction
Answer:
x =0
Step-by-step explanation:
4+5e^x+2 =11
Combine like terms
6 + 5e^x =11
Subtract 6 from each side
6-6 + 5e^x =11-6
5 e^x = 5
Divide by 5 on each side
5 e^x /5 = 5/5
e^x = 1
Take the natural log on each side
ln (e^x) = ln(1)
x = ln(1)
x =0
45 and 45 because they are equal and add up to 90 degrees