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2 years ago

HELP PLEASE ILL MARK BRAINLIEST

Mathematics

2 answers:

Paul [167]2 years ago

7 0

You answer would be b! hope this helps

gavmur [86]2 years ago

4 0

Answer:

B. $\frac{3+\sqrt{29} }{2}$

Step-by-step explanation:

$\frac{-(-3)\sqrt{(-3^2-4(1)(5)} }{(2)(1)}$

$=\frac{-(-3)+\sqrt{29} }{2}$

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1 and 3
4 and 2
8 and 65

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3 years ago

Find the perimeter of a regular pentagon with sides of (3x + 5).

kotegsom [21]

Answer:

5(3x + 5) or 15x + 25

Step-by-step explanation:

A regular pentagon has 5 sides of equal length. The perimeter is the sum of the lengths of those sides. We can use multiplication to find the sum of 5 of the same value:

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3 years ago

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3 years ago

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Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *

Luda [366]

Answer:

The answer to your question is $\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

Step-by-step explanation:

Data

Foci (-2, 2) (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

2c = 6

c = 6/2

c = 3

3.- Determine a

2a = 10

a = 10/2

a = 5

4.- Determine b using the Pythagorean theorem

a² = b² + c²

-Solve for b

b² = a² - c²

b² = 5² - 3²

b² = 25 - 9

b² = 16

b = 4

5.- Find the center (1, 2) From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

$\frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1$

$\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

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2 years ago