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Rasek [7]
3 years ago
12

NEED ANSWER IN FIVE MINUTES!!!!!!!!

Mathematics
2 answers:
Dimas [21]3 years ago
8 0

The other answer is correct, but on edge the answer is in this form: y^2/17^2 + x^2/15^2 = 1 which is answer choice D.)

Setler79 [48]3 years ago
6 0

Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.

Then

a² will go with the y part of the equation

Also, since the focus is 8 units below the center, then c = 8

since the vertex is 17 units above, then a = 17

The equation b² = a² – c² gives me

b²=17²-8²-----> b²=225

the equation is

y²/a²+x²/b²=1------> y²/289+x²/225=1

the answer is

y²/289+x²/225=1

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shtirl [24]
This is the answer!

8 0
3 years ago
Edward's school is 13/2 miles away from his home . He goes by car to school and back. The car consumed 4 gallons of gas taking h
MatroZZZ [7]

Answer:

16.25

Step-by-step explanation:

Well, the school is 13/2 miles away.

13/2 = 6.5

Since Edward goes by car there and back, he travels 13 miles a day.

6.5 x 2 = 13

He went for 5 days.

5 x 13 = 65

The car consumed 4 gallons of gas by driving those 65 miles.

65 / 4 = 16.25

Therefore, Edward's car gets 16.25 miles per gallon!

5 0
3 years ago
Find the value of x in the triangle below
Tom [10]

Answer:

6.76

Step-by-step explanation:

applying pythogorem theorem

a^2+b^2=c^2

5^2+b^2=13^2

25+b^2=169

b^2=169/25

b^2=6.76^2

b=6.76

3 0
3 years ago
The graph of the function f(x) = (x +2)(x + 6) is shown
dalvyx [7]

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4 ⇒ 1st answer

Step-by-step explanation:

f(x) = (x + 2)(x + 6) is a quadratic function with 2 factors (x + 2) and (x + 6)

By multiplying its two factors we will find the form of the quadratic function

∵ (x)(x) = x²

∵ (x)(6) = 6x

∵ (2)(x) = 2x

∵ (2)(6) = 12

∴ f(x) = x² + 6x + 2x + 12

- By adding like terms

∴ f(x) = x² + 8x + 12

The quadratic function represented graphically by a parabola

Look to the attached figure

The x-coordinate of the vertex point of the parabola h = \frac{-b}{a}

where b is the coefficient of x and a is the coefficient of x²

∵ f(x) = x² + 8x + 12

∴ a = 1 and b = 8

∴ h = \frac{-8}{2*1}=-4

The y-coordinate of the vertex point is k = f(h)

∵ h = -4

∴ k = f(-4)

∴ k = (-4)² + 8(-4) = 12 = 16 - 32 + 12

∴ k = -4

∴ The vertex point of the parabola is (-4 , -4)

∵ The parabola is opened upward

∴ Its vertex is minimum point

∴ The minimum value of f(x) is y = -4

∵ The domain of the function is the values of x

∵ The range of the function is the values of y corresponding to the

   values of x

∵ x can be any real numbers

∴ x ∈ R, where R is the set of real numbers

∴ The domain of f(x) is all real numbers

∵ The minimum value of f(x) is y = -4

∴ y can be any real number greater than or equal to -4

∴ y ≥ -4

∴ The range is all real number greater than or equal to -4

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4

Learn more:

You can learn more about quadratic function in brainly.com/question/1332667

#LearnwithBrainly

7 0
3 years ago
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area
aniked [119]

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)

Here, (<em>a</em>) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

brainly.com/question/26271153

3 0
2 years ago
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