3 years ago

Which of the following constants can be added to x 2 - 10x to form a perfect square trinomial?

Mathematics

1 answer:

alisha [4.7K]3 years ago

6 0

x^2 -10x +25

(x-5)^2

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What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

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First find the slope of the given line like this:
$5x + 2y = 12\\2y=-5x+12\\y=\frac{-5}{2}x+6$
If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:
$y=\frac{-5}{2}x+a$ and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
$4=\frac{-5}{2}(-2)+a$
$4=5+a$
$a=4-5=-1$
The equation of the line is then the following:
$y=\frac{-5}{2}x-1.$

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