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lawyer [7]
3 years ago
9

Write the equation it is parallel to the graph of y=-2x-10 and passes through (-1,2)

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Step-by-step explanation:

y= -2x

that is the answer

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Four shelves were used. Three shelves had exactly 7 cars. The fourth shelf contained had 8.


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Vector addition obeys rules that are different from those for the addition of two scalar quantities.
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The blueprint for a fence shows a rectangle with the dimensions bin x
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3 0
3 years ago
What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?
Solnce55 [7]

<u><em>The coordinates of the points A and B are not given. We'll assume: A(3,1) B(12,-5)</em></u>

Answer:

<em>The coordinates of E are (6,-1)</em>

Step-by-step explanation:

<u>Partition of a Segment</u>

The length of segment directed from A(xa,ya) to B(xb,yb) can be decomposed in its x,y coordinates:

x_{AB}=x_b-x_a

y_{AB}=y_b-y_a

If a point E is to be in the segment and partition it into a ratio 1:2, then

\displaystyle \frac{x_{AE}}{{x_{EB}}=\frac{y_{AE}}{{y_{EB}}=\frac{1}{2}

But

x_{AE}=x_e-x_a

y_{AE}=y_e-y_a

x_{EB}=x_b-x_e

y_{EB}=y_b-y_e

Then we set the equation:

\frac{x_{AE}}{{x_{EB}}=\frac{1}{2}

2(x_e-x_a)=x_b-x_e

Operating and rearranging

3x_e=x_b+2x_a

Solving

\displaystyle x_e=\frac{x_b+2x_a}{3}=\frac{12+6}{3}

x_e=6

Similarily

\displaystyle y_e=\frac{y_b+2y_a}{3}=\frac{-5+2}{3}

y_e=-1

The coordinates of E are (6,-1)

8 0
4 years ago
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