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gogolik [260]
3 years ago
10

An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8).

Mathematics
2 answers:
Sergio039 [100]3 years ago
7 0

Answer:

D

Step-by-step explanation:

egde 2020

MAVERICK [17]3 years ago
3 0

Answer:

The last one.

Step-by-step explanation:

The standard form equation of an ellipse with foci on the y-axis is ...

  y²/a² +x²/b² = 1

where "a" and "b" are the lengths of the semi-major and semi-minor axes, respectively. If "c" is the distance from the center to the focus, then this relation also holds:

  b² +c² = a²

For this ellipse ...

  b² + 8² = 17²

  289 -64 = b² = 225 . . . . . subtract 8²

  b = 15 . . . . . . . . . . . . . . . . . take the square root

The equation of the ellipse is then ...

  y²/17² +x²/15² = 1

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denis23 [38]
6.75$ you take the percent divided by 100
15 \div 100 = .15
that gets its it in decimal form
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45 \times .15 = 6.75

5 0
3 years ago
What is the inverse of the function f(x)=4x?
KATRIN_1 [288]
To find an inverse function:
1. Write the function.
2. Replace f(x) with y.
3. Switch x and y.
4. Solve for y.
5. Replace y with f^{-1}(x)

Now let's follow the steps above and do it.
1. f(x) = 4x
2. y = 4x
3. x = 4y
4. y = x/4
5. f^{-1}(x) = \dfrac{x}{4}
4 0
4 years ago
The top missing part of the screenshot says : Every year, a dog sled race is held in Alaska and is approximately 1,150 miles in
Molodets [167]

Answer:

-The equation that represents the approximate distance Aaron's dog sled team travels over time is Y = 5.32X.

-The equation that represents the approximate distance Dallas' dog sled team travels over time is Y = 5.48X.

-The equation that represents the approximate distance Mitch's dog sled team travels over time is Y = 5.42X.

Step-by-step explanation:

Given that every year, a dog sled race is held in Alaska and is approximately 1,150 miles in distance, based on the listed information, the speed rate of every racer is:

Aaron = 575 miles in 4 days and 12 hours = 575 miles in 108 hours = 5.32 mph

Dallas = 1,150 miles in 8 days and 18 hours = 1,150 miles in 210 hours = 5.476 mph

Mitch = 287.5 miles in 2 days and 5 hours = 287.5 miles in 53 hours = 5.42 mph

Therefore, the correct answers are:

-The equation that represents the approximate distance Aaron's dog sled team travels over time is Y = 5.32X.

-The equation that represents the approximate distance Dallas' dog sled team travels over time is Y = 5.48X.

-The equation that represents the approximate distance Mitch's dog sled team travels over time is Y = 5.42X.

6 0
3 years ago
A store applies a 120% markup to an item and sells it for $80.08. What was the value of the item before the markup was added?
Artemon [7]

Answer:

66.7333

Step-by-step explanation:

if 120 =80.08 what about 100

100×80.08÷120

=66.733

5 0
3 years ago
A carnival has two payment options. Plan A, you pay $10 admission plus $3 for each ride. Plan B, you pay a $20 admission plus $1
stiks02 [169]
<span>Let x = # of rides

Plan A: 10 + 3x

Plan B: 20 + x

if x < 5 rides then plan A is better buy
if x = 5 both plans are the same
if x > 5 then plan B is the best buy

Prove:
x = 6 (rides)

plan A: </span>10 + 3x = 10 + 3(6) = 10+18 = $28
plan B: 20 + x = 20 + 6 = $26


3 0
3 years ago
Read 2 more answers
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