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densk [106]
3 years ago
15

ASAP

Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0

Answer:

C. (7, –3)

Step-by-step explanation:

5x+6y=17

-10x-9y=-43

Multiply the first equation by 2

2(5x+6y)=17*2

10x +12y = 34

Add this equation to the second equation to eliminate x

-10x-9y=-43

10x +12y = 34

---------------------

   3y = -9

Divide by 3

3y/3 = -9/3

y = -3

Now we need to find x

5x+6y = 17

5x +6(-3) = 17

5x-18 = 17

Add 18 to each side

5x-18+18 =17+18

5x =35

Divide by 5

5x/5 = 35/5

x =7

(7,-3)

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Answer:

-40x+20

Step-by-step explanation:

10 times -4x=-40x

10x2=20

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a hyperbola has a center at the origin, a vertex at (9,0) and a focus at (41,0). What is the equation of the hyperbola
Harlamova29_29 [7]

Answer:

the equation of the hyperbola is;(x²/81) - (y²/1600) = 1

Step-by-step explanation:

We are given that the hyperbola has;

Centre; 0,0

Vertex; 9,0

Focus; 41,0

Thus,the vertex and focus are on the x-axis. Thus, the equation for the hyperbola will have the form;

(x²/a²) - (y²/b²) = 1

Since The vertex is (9,0),so

a = 9 and a² = 9² = 81

Also,Since The focus is (41,0),so

c = 41 and c² = 41² = 1681

Solving for b², we have;

b² = c² - a²

b² = 1681 - 81

b² = 1600

b = √1600

b = 40

Thus,equation of hyperbola is;

(x²/9²) - (y²/40²) = 1

Which gives;

(x²/81) - (y²/1600) = 1

4 0
3 years ago
Three friends went out to dinner. Their bill came to $30.00, and
kherson [118]

Answer:

$36.00

Step-by-step explanation:

There are 2 methods

Method 1: 30*1.20=36

Method 2: 30*.20=6 30*6=36

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