1. 2700 degrees. 450 rotations in on minute is 450(360) degrees per minute. If you divide this by 60 you get 2700.
2. 180 degrees. 4.3 rotations per minute is 4.3 times 360 degrees per minute. Multiply that times 5, and divide the answer by 360 and you get 21.5, which means he is 180 degrees from his starting point.
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Answers:</h3>

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Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is
with k = 2. So we can say the more specific dilation rule is 
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
- V = (-2, -1)
- W = (-2, 2)
- X = (0, 2)
- Y = (3, -1)
will dilate to the corresponding image points
- V ' = (-4, -2)
- W ' = (-4, 4)
- X ' = (0, 4)
- Y ' = (6, -2)
as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
Let's solve your equation step-by-step.
−(1+7x)=6(−7−x)+36
Step 1: Simplify both sides of the equation.
−(1+7x)=6(−7−x)+36
−7x+−1=(6)(−7)+(6)(−x)+36(Distribute)
−7x+−1=−42+−6x+36
−7x−1=(−6x)+(−42+36)(Combine Like Terms)
−7x−1=−6x+−6
−7x−1=−6x−6
Step 2: Add 6x to both sides.
−7x−1+6x=−6x−6+6x
−x−1=−6
Step 3: Add 1 to both sides.
−x−1+1=−6+1
−x=−5
Step 4: Divide both sides by -1.
−x
−1
=
−5
−1
x=5
Answer:
x=5
Answer:
Answer and explanation with steps are in the following attachments
Step-by-step explanation: