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tia_tia [17]
3 years ago
10

Which equation represents y = x2 + 16x + 70 in vertex form?

Mathematics
1 answer:
baherus [9]3 years ago
8 0

Answer:

y = (x + 8)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term )² to x² + 16x

y = x² + 2(8)x + 64 - 64 + 70

   = (x + 8)² + 6 ← in vertex form

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Vadim26 [7]

F is located on the numbe<u>r 4.5</u><u> </u>on the number line.

<h3></h3><h3>Where does point F lie on the number line?</h3>

We know that point D is at -6

Point E is at 8.

Point F is between D and E, such that the ratio:

DF:FE is 3:1

So if we divide the distance between D and E in 4 parts, 3 of these parts are DF, and one of these parts is FE.

First, the distance between E and D is:

distance = 8 - (-6) = 14 units.

Now, if we divide that by 4, we get:

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Then we have:

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This means that F is at 10.5 units to the right of D, then:

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If you want to learn more about ratios:

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7 0
1 year ago
17. When a single set of values is randomly divided into two equal groups, explain how the means of these two groups may be very
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3 years ago
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AleksandrR [38]
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3 years ago
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Answer:

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Step-by-step explanation: hope this helps :)

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