Since these are supplementary angles (two angles which sum to 180°) we can say:
4x+x=180 combine like terms on left side
5x=180 divide both sides by 5
x=36°
Answer:
Step-by-step explanation:
1. You can use the intercepts to graph the line. The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.
2. Point-Slope Form: y - y1 = m(x - x1)
Standard Form: ax + by = c
5x - 2y = 10
-2y = -5x + 10
y = (5/2)x - 5 The slope is 5/2.
y - 2 = (-5/2)(x - 10)
y = (-5/2)x + 25 + 2
y = (-5/2)x + 27 The slope is -5/2.
y = (-5/2)x - 10 The slope is -5/2.
Answer:
Step-by-step explanation:
So we have the equation:
First, let's distribute the negative:
Combine like terms:
Subtract or add:
Subtract 6 from both sides:
Divide both sides by 3:
And we're done!
9514 1404 393
Answer:
16) No
17) (c)
Step-by-step explanation:
For a lot of multiple-choice matrix problems, a simple test is all that is needed to determine the correct answer.
16) The determinant of A is (-2)(-2) -(2)(-3) = 10. So, we expect to see values in the inverse matrix that are 0.2 and 0.3. Alas, they're not there. The matrices are not inverses.
A^-1 = [[-.2, .3][-.2, -.2]]
__
17) The matrices are both 3×3, so their product is possible (eliminates choice D). The upper left term is different among the answer choices, so we can determine the correct one by computing that term only.
BA=C
c11 = (5)(1) +(7)(5) +(3)(-1) = 5 +35 -3 = 37
This matches the third choice (C).
If you use a calculator to compute the full matrix product, it matches choice C in all details.
The answer is d because quotient means the outcome of a division between two numbers. So therefore it has to be a division equation, which is d.
