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andrezito [222]
2 years ago
5

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
larisa86 [58]2 years ago
5 0

Answer:

y = -2x^2 -4x +5

Step-by-step explanation:

The vertex is at (-1,7)  and the y intercept is at (0,5)

The vertex form of a parabola is

y = a(x-h)^2 +k

where (h,k) is the vertex

y = a(x--1)^2 +7

Then substitute the point into the equation

y = a(x+1)^2 +7

5  = a(0+1)^2 +7 +7

Subtract 7 from each side

5-7 = a(1)^2

-2 = a

y = -2(x+1)^2 +7

Now FOIL

y = -2 (x^2 +2x+1) +7

Then distribute

y = -2x^2 -4x-2 +7

y = -2x^2 -4x +5

frozen [14]2 years ago
4 0

Answer:

y = -2(x + 1)² + 7

y = -2x² - 4x + 5

Step-by-step explanation:

Vertex: (-1,7)

y = a(x - -1)² + 7

y = a(x + 1)² + 7

Find a using (1,-1)

-1 = a(1 + 1)² + 7

-8 = 4a

a = -2

y = -2(x + 1)² + 7

y = -2(x² + 2x + 1) + 7

y = -2x² - 4x - 2 + 7

y = -2x² - 4x + 5

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looking at the image  a =6m,  h =21m - 7m= 14m

so the surface area is S = 3√3 / 2) 6² + 3*6√14²+3*6²/4 =93.53+ 14.93=108.46 m²

for the another one
the figure is a prism hexagonal
its surface area is 
SA= 6ah +3√3 a²
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in our case a =6m and h = 7m
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it is so approximate
 to <span>B. 615.53 m2
look at the image</span>

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3 years ago
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Answer:

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Step-by-step explanation:

When we are given two points and are asked to find the equation of the line we use the two - point form.

Two - point form: $ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $.

where: $ (x_1,y_1) $ and $ (x_2,y_2) $ are the two points on the line.

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Substituting in the two point form:

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3 years ago
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