Answer:
-1
Step-by-step explanation:
See the attachment for the polynomial long division. The constant in the quotient is -1.
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Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.
That could be a first guess in a "guess and check" solution approach.
<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).
<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2
Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.
Answer:
∠WVR = 156
Step-by-step explanation:
Angles in triangle add up to 180 - SEE ATTACHMENT - LEFT TRIANGLE
∴ ∠SRT + RST + RTS = 180
∴ ∠SRT + 109 + 47 = 180
∠SRT = 24
Alternate Angle Theorem - SEE ATTACHMENT - RIGHT TRIANGLE
∠SRT = 180 - ∠WVR
24 = 180 - ∠WVR
24 - 180 = - ∠WVR
-156 = - ∠WVR
∠WVR = 156
Find the slope of the first line, that is the difference of the y’s over the difference of the x’s. This way: 2-5/2-5=-3/-3 which equals 1
Now find the slope of the second line 2-(-6)/-5-3
=8/-8
=-1
The slopes are opposite reciprocal ( you could also say that the product of the 2 slopes equals -1) therefore the lines are perpendicular.
Answer: B
Step-by-step explanation:
Because of Supplementary Angles, we know that the two angles in the right side of the equation add up to 90.
Hope it helps <3
