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sweet-ann [11.9K]
3 years ago
8

I need help on the equation! Anyone?

Mathematics
1 answer:
Margarita [4]3 years ago
7 0
The answer was right.
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The hyperbolic orbit of a comet is represented on a coordinate plane with center at (0, 4). One branch has a vertex at (0, 10) a
Anuta_ua [19.1K]

Remember that

If the given coordinates of the vertices and foci have the form (0,10) and (0,14)

then

the transverse axis is the y-axis

so

the equation is of the form

(y-k)^2/a^2-(x-h)^2/b^2=1

In this problem

center (h,k) is equal to (0,4)

(0,a-k)) is equal to (0,10)

a=10-4=6

(0,c-k) is equal to (0,14)

c=14-4=10

Find out the value of b

b^2=c^2-a^2

b^2=10^2-6^2

b^2=64

therefore

the equation is equal to

<h2>(y-4)^2/36-x^2/64=1</h2><h2>the answer is option A</h2>
6 0
1 year ago
Jamie is buying 5 concert tickets, and he wants his total cost to be no more than $4 Above or below $80. Which inequality models
kumpel [21]

Answer:

Option C \left|80-5x\right|\le 4

Step-by-step explanation:

Let

x ----> the cost of the concert ticket

we know that

The total cost to be no more than $4 Above  $80

so

5x\leq 80+4

Solve for x

x\leq \$16.80

The total cost to be no more than $4  below $80

so

5x\geq 80-4

Solve for x

5x\geq 76

x\geq \$15.2

therefore

The inequality that represent this problem is

\left|5x-80\right|\le 4

<u><em>Verify</em></u>

<em>First solution (positive case</em>)

+(5x-80)\le 4

5x\le 80+4

Solve for x

x\leq \$16.80 ----> is ok

<em>Second solution (negative case)</em>

-(5x-80)\le 4

Multiply by -1 both sides

(5x-80)\ge -4

5x\geq 80-4

Solve for x

5x\geq 76

x\geq \$15.2 ---> is ok

Remember that

\left|5x-80\right|\le 4 is equivalent to \left|80-5x\right|\le 4

Because is a absolute value

8 0
3 years ago
Solve the system of linear equations.<br> 15x - 5y = -20<br> -3x + y = 4
disa [49]

Answer:

Infinite solutions.

Step-by-step explanation:

Use the elimination method:

15x - 5y = -20

-3x + y = 4              Multiply this equation by 5:

-15x + 5y = 20         Now add this to the first equation:

0 = 0

So the 2 equations are the same and there are infinite solutions.      

3 0
4 years ago
Please help!!!!!!! I will medal
Damm [24]
The answer to this question is \frac{123}{500}. Hope this helps.
6 0
4 years ago
A square has sides of length 2 inches. What is it’s perimeter centimeters ? [1 in. = 2.5 cm]
adoni [48]

Answer:

20 cm.

Step-by-step explanation:

First, find the perimeter in inches. Since it's a square and all 4 sides are the same, you can multiply 2 x 4 to find the perimeter of 8. Now, convert it to cm by multiplying 8 by 2.5. 8 x 2.5 is 20 cm.

4 0
3 years ago
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