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2 years ago

8

An art club sells 42 large candles and 56 small candles. Use the Distributive Property to write and simplify an expression for t

he profit.

1 answer:

Naddik [55]2 years ago

8 0

Answer:

sepa

Step-by-step explanation:

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An oblique prism with a square base of edge length x units has a volume of One-halfx3 cubic units. Which expression represents t

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How many significant figures does 0.0560

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What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? (–13,

Lana71 [14]

I added a screenshot of the complete question.

<u><em>Answer:</em></u>

(-7, -1)

<u><em>Explanation:</em></u>

<u>The formulas given to calculated the x and y coordinates are as follows:</u>

$x = (\frac{m}{m+n})(x_{2}-x_{1}) + x_{1}\\\\y = (\frac{m}{m+n})(y_{2}-y_{1}) + y_{1}$

<u>Let's define the variables used:</u>

(x₁ , y₁) are the coordinates of the first point while (x₂ , y₂) are the coordinates of the second point.

<u>We are given that the segment is directed from J to K, therefore:</u>

First point is J ..........> (x₁ , y₁) is (-15, -5)

Second point is K ....> (x₂ , y₂) is (25, 15)

m and n defined the portion of the partitioned segment (JE : EK). It is given that this ratio is 1:4. <u>Therefore:</u>

m = 1 and n = 4

<u>Finally, let's substitute with these variables in the equations as follows:</u>

$x = (\frac{1}{1+4})(25-(-15)) + (-15) = -7\\\\y = (\frac{1}{1+4})(15-(-5)) + (-5) = -1$

Based on the above, the coordinates of point E are (-7, -1)

Hope this helps :)

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