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Genrish500 [490]
2 years ago
13

Use the distributive property to remove the parentheses. -6(5y-2u-3)

Mathematics
1 answer:
olga55 [171]2 years ago
7 0
<h2>Answer: -30y + 12u + 18 </h2>

<h3>Step-by-step explanation:</h3>

    <em> by multiplying each term in the parentheses by the term outside</em>

-6(5y-2u-3) = (-6 × 5y) + (-6 × - 2u) + (-6 × -3)

                   = -30y + 12u + 18

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What is an equation of the line that passes through the point (8,-5) and is parallel
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Answer:

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Step-by-step explanation:

Hi there!

We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)

Parallel lines have the same slopes

First, we need to find the slope of 5x+4y=24.

We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)

subtract 5x from both sides

4y=-5x+24

divide by 4 on both sides

y=-5/4x+6

since -5/4 is in the place where m should be, it is the slope.

So the equation of the line parallel to it will also have -5/4 as the slope

Here's the equation so far in slope-intercept form:

y=-5/4x+b

we need to find b

because the equation will pass through (8,-5), we can use it to solve for b

substitute 8 as x and -5 as y

-5=-5/4(8)+b

multiply

-5=-10+b

add 10 to both sides

5=b

substitute 5 as b into the equation

<u>y=-5/4x+5</u>

That's the equation of the line parallel to 5x+4y=24.

Hope this helps!

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