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Mathematics

1 answer:

neonofarm [45]3 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{4^{2}*4^{5} }{(4^{6})^{2}}=\frac{4^{2}*4^{5} }{4^{12}}\\\\=4^{2+5-12}=4^{-5}\\\\ =\frac{1}{4^{5}}$

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If a segment has an endpoint at (3, 2) and the midpoint at (-1, 2), what are the coordinates of the other endpoint?

Paraphin [41]

The other endpoint would have to be (-5,2), going off the definition of a midpoint. Since 3 is for units to the right of -1, that would mean that the other end point would have to be 4 units to the left, which is -5.

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3 years ago

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Vladimir79 [104]

Answer:

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What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?

vodomira [7]

<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

$2m^2-16m=-8$

Next, divide both sides by 2:

$m^2-8m=-4$

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

$m^2-8m+16=12$