Answer:
max could still add 135 minutes of music into his playlist
Step-by-step explanation:
180 - 45 = 135
Answer:
19,240 rounded to the nearest ten thousand is 20,000.
Step-by-step explanation:
Answer:
B. 180° about the origin
Step-by-step explanation:
You are given a figure and its image, and asked to determine the angle of rotation. All of the answer choices indicate the center of rotation is the origin.
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You have two clues that the rotation is 180° about the origin:
- The original figure is in the 2nd quadrant, and the image is in the 4th quadrant, directly opposite the origin.
- Line ST is directed to the northeast; line S'T' is directed to the southwest, in exactly the opposite direction.
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To find the angle of rotation, you can look at the angle formed by a point, the center of rotation, and the image of the original point. Here, the angle UOU' is a straight angle, so the angle of rotation about O is 180°--the measure of that angle. (It can be convenient to use points close to the center of rotation, but any corresponding points on preimage and image will do.)
Answer:
6. slope= -4/5 Y-intercept is 3
7.
a.y=-2x
b.y=1x+1
c.5/2x-1
d.y=4x+3
e.y=-3/2x-5
Step-by-step explanation:
<u>Answer</u>
d) 2 – i
<u>Explanation</u>
f(x) = x³ – 2x²
When x = i, we proceed as follows.
Note: i =
i² =(√-1)(√-1) = -1
i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i
f(x) = x³ – 2x²
f(i) = i³ – 2i²
= -i – 2(-1)
= -i + 2
= 2 – i
