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Dmitry_Shevchenko [17]
3 years ago
14

An ellipse has a co-vertex at (–8, 9) and a foci at (4, 4). If the center of the ellipse is located below the given co-vertex, t

hen what is the equation of the ellipse? Write in standard form. Guide question? 1) What are the coordinates of the center of the ellipse? 2) Is the ellipse horizontal or vertical?
Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0

Answer:

Step-by-step explanation:

“the center of the ellipse is located below the given co-vertex”

Co-vertex and center are vertically aligned, so the ellipse is horizontal.

Equation for horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

with

a² ≥ b²

center (h,k)

vertices (h±a, k)

co-vertices (h, k±b)

foci (h±c,k), c² = a² -b²

One co-vertex is (-8,9), so h = -8.

One focus is (4,4), so k = 4.

Center (h,k) = (-8,4)

c = distance between center and focus = |-8 - 4| = 12

b = |9-k| = 5

a² = c² + b² = 169

(x+8)²/169 + (y-4)²/25 = 1

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An average score of 90 or above in an English course receives an A grade. A student has grades of 81, 87, 94, 93 on four tests.
Inessa05 [86]

Answer:

95>=X <=100. More or equal to 95 or equal or less than 100.

Step-by-step explanation:

The Total of the first score is needed first

81+87+ 94+93=355

The total of this score

Let X be the 5TH score we are looking for

(355+ X)/5= 90

355+X= 450

X= 450-355

X= 95 the person needs to sore between 95 and 100 ( which is the highest possible score).

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3 years ago
What are the x- and y-intercepts of y=-3x -9?
Lady_Fox [76]

Answer:

x-intercept (-3,0)

y-intercept  (0,-9)

Step-by-step explanation:

The x-intercepts can be found by setting y to 0 and solving for x.

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0=-3x-9

Add 9 on both sides:

9=-3x

Divide both sides by -3:

9/-3=x

-3=x

The x-intercept is (-3,0).

The y-intercepts can be found by setting x to 0 and solving for y.

y=-3x-9

y=-3(0)-9

y=0-9

y=-9

The y-intercept is (0,-9).

8 0
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This is very easy. will give brainliest!!
Naddika [18.5K]

Answer:

7. 158

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Step-by-step explanation:

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algol13

Answer:

a. the less variability it has

Step-by-step explanation:

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

When your standard deviation is big your data is more dispersed.

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3 years ago
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