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umka2103 [35]
2 years ago
6

If point k is at (-3,2) where will it be when it is reflected over the line y=1 and then rotated 90 degrees?

Mathematics
1 answer:
Andrei [34K]2 years ago
3 0

Answer:

(0,-3)

Step-by-step explanation:

(-3,2) reflected over the line y=1 is (-3,0)

Now rotated 90 degrees over what, and in which direction?

Im going to assume that the rotation is counter clockwise over the origin because that is standard when not mentioned. ¯\_(ツ)_/¯

That would be: (0,-3)

Yw! :D

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Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is
ella [17]

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
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DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles

Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
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Answer:

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Step-by-step explanation:

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