Answer:
x = 54
Step-by-step explanation:
These angles are complementary because they add up to 90:
x - 7 + 43 = 90
x + 36 = 90
x = 90 - 36
x = 54
Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
====================
This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
Answer is =-1
implifying
-2x + 3 = -3x + 2
Reorder the terms:
3 + -2x = -3x + 2
Reorder the terms:
3 + -2x = 2 + -3x
Solving
3 + -2x = 2 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
3 + -2x + 3x = 2 + -3x + 3x
Combine like terms: -2x + 3x = 1x
3 + 1x = 2 + -3x + 3x
Combine like terms: -3x + 3x = 0
3 + 1x = 2 + 0
3 + 1x = 2
Add '-3' to each side of the equation.
3 + -3 + 1x = 2 + -3
Combine like terms: 3 + -3 = 0
0 + 1x = 2 + -3
1x = 2 + -3
Combine like terms: 2 + -3 = -1
1x = -1
Divide each side by '1'.
x = -1
Simplifying
x = -1
Answer:
The answer is the letter B.
The first column represents the x-values, and the second row represents the y-values.
For that reason, if we have:
2x - 7y = -1
x + 3y = -5
Then, the matrix will be given by:
[ 2 -7
1 3]
Then, the third colum will be the equality:
[ -1
-5]
So the correct option is the letter B.
Answer:
option 4
Step-by-step explanation:
(f*g)(x) =(x² + x+ 1)*(x² - x -1)
= x²*(x² - x -1) + x(x² - x -1) + 1*( x² - x -1)
= x²*x² - x²*x -x²*1 + x*x² - x*x -x*1 + x² - x -1
= x⁴ - x³ - x² +x³ - x² - x + x² - x -1
= x⁴ - x³ + x³ - x² - x² + x² - x - x - 1
= x⁴ - x² - 2x - 1
