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Sergio [31]
3 years ago
9

Plzzzzz help me with this math plzzzz

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
7 0

Answer:

<em>C) -1(x+8)(x+7)</em>

Step-by-step explanation:

-x^{2} -15x-56\\-1(x^{2} +15x+56)\\-1(x+8)(x+7)

-1 factors through the entire equation.

8+ 7 = 15 and 8 x 7 = 56 (so 8 and 7 are our factors.)

lapo4ka [179]3 years ago
6 0

Answer:

c i know just took it

Step-by-step explanation:

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mixas84 [53]

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Step-by-step explanation:

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4 0
2 years ago
What is an equation of a parabola with the given vertex and focus? vertex: (5,4) ; focus: (8,4)
Zarrin [17]

Answer:

(y - 4)² = 12(x - 5)

Step-by-step explanation:

the vertex and focus lie on the principal axis y = 4

The focus is inside the parabola to the right of the vertex

This is therefore a horizontally opening parabola

with equation

(y - k)² = 4p(x - h)

where (h, k) are the coordinates of the vertex and p is the distance from the vertex to the focus/ directrix

here p = 8 - 5 = 3

The directrix is vertical and to the left of the vertex with equation x = 2

From any point (x, y) on the parabola the focus and directrix are equidistant

using the distance formula, then

\sqrt{(x-8)^2+(y-4)^2} = | x - 2 |

squaring both sides

(x - 8)² + (y - 4)² = (x - 2)²

(y - 4)² = (x - 2)² - (x - 8)² = x² - 4x + 4 - x² + 16x - 64 = 12x - 60

(y - 4)² = 12(x - 5) ← equation of parabola






8 0
3 years ago
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