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Alex787 [66]
2 years ago
10

When a figure rotates around a point, this point is called the

Mathematics
2 answers:
VikaD [51]2 years ago
8 0
The answer is: D - center of rotation
maxonik [38]2 years ago
7 0

Answer:

Your answer is D. center of rotation!

Step-by-step explanation:

A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation . The amount of rotation is called the angle of rotation and it is measured in degrees.

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Find an equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4
Alina [70]

equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)

Perpendicular bisector lies at the midpoint of a line

Lets find mid point of  (-9,-8) and (7,-4)

midpoint formula is

\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}

\frac{-9+7}{2} ,\frac{-8+-4}{2}

midpoint is (-1, -6)

Now find the slope of the given line

(-9,-8) and (7,-4)

slope = \frac{y2-y1}{x2-x1} = \frac{-4-(-8)}{7-(-9)}

slope = \frac{-4+8}{7+9}= \frac{4}{16} =\frac{1}{4}

Slope of perpendicular line is negative reciprocal of slope of given line

So slope of perpendicular line is -4

slope = -4  and midpoint is (-1,-6)

y - y1 = m(x-x1)

y - (-6) = -4(x-(-1))

y + 6 = -4(x+1)

y + 6 = -4x -4

Subtract 6 on both sides

y = -4x -4-6

y= -4x -10

equation for the perpendicular Bisector y = -4x - 10


3 0
3 years ago
A lawn sprinkler sprays water 25 feet and moves back and forth through an angle of 150°. Which of the following is the best esti
11Alexandr11 [23.1K]

\pi25 ^{2} \times \frac{150}{360}
Explanation:
Area is pi×r^2 and you times it by the fraction of the circle you have as its not a full circle.
5 0
4 years ago
Expand this question. <br><br> 3(x+2)
irakobra [83]

Answer:

3(x+2)

3x+6

Step-by-step explanation:

We should multiply it by 3

3 0
3 years ago
Read 2 more answers
Johnny invested $1000 in savings account that yields 2% interest annually. How much will Johnny's investment be worth in 10 year
Ann [662]
Calculate the interest in a year
Multiply the annual percentage of interest by the investment to find the interest.
interest in a year = 2% × 1,000
interest in a year = 0.02 × 1,000
interest in a year = 20
The annual interest is $20

Calculate the interest after 10 years
Multiply the annual interest by 10
interest 10 years = 20 × 10
interest 10 years = 200
The sum of interest after 10 years is $200

Find total investment
investment = first investment + interest in 10 years
investment = 1,000 + 200
investment = 1,200

The investment will be worth $1,200 in 10 years
4 0
3 years ago
Can someone please help this is due at 9
likoan [24]

Answer:

70

Step-by-step explanation:

We have the final part 4x/40 = 7. We can simplify this to x/10 = 7 by dividing the numerator and the denominator by 4. We then multiply both sides by 10 to get x = 70

3 0
3 years ago
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