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3 years ago

-3(k-8)-(k+5)=23 please explain how to do this

Mathematics

1 answer:

hichkok12 [17]3 years ago

3 0

The answer: 1

I know this app that helps you with mathematical problems

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Answer:

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Step-by-step explanation:

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3 years ago

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It takes Jill 2 hours to run 14.5 miles. At this rate, how far could she run in 3 hours?

Vanyuwa [196]

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21.75 miles

Step-by-step explanation:

2 hours=14.5 miles

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There are three options for fans purchasing a band's new release CD. They can purchase the CD, a premium CD bundle, or a deluxe

san4es73 [151]

Answer:

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3 years ago

Part

goldfiish [28.3K]

When a shape is rotated, it must be rotated around a point.

To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by $90^o$ .

From the question, we have:

$C = (5,-1)$ --- the center of rotation

Let the vertices of the triangle be (x,y).

First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

$(x,y) \to (x - 5, y + 1)$

Then the vertices are rotated by $90^o$

The rule of $90^o$ rotation is:

$(x,y) \to (-y,x)$

So, we have:

$(x - 5,y + 1) \to (-y - 1,x - 5)$

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

$(0,2) \to (-2-1,0-5) \to (-3,-5)$

$(0,5) \to (-5-1,0-5) \to (-6,-5)$

$(4,2) \to (-2-1,4-5) \to (-3,-1)$

Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)