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allochka39001 [22]
3 years ago
6

Graph the hyperbola with equation quantity x plus 3 squared divided by 25 minus the quantity of y plus 5 squared divided by 4 =

1

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
7 0

Hello,

Please, see the graph in the attached file.

Thanks.

Sliva [168]3 years ago
7 0

Answer:

Step-by-step explanation:

As we know the general formula of the hyperbola is:

(x-h)²/a² - (y-k)²/b² = 1, where

  • (h,k) is the center
  • a is the semi-major axis
  • b is the semi-minor axis

In this situation, the equation is:

(x+3)²/25 - (y+5)²/4 = 1

=> the center is: (-3, -5)

a = 5

b = 2

  • As we know their slopes are +/- \frac{b}{a} so

-5 = +2/5 (-3) + b ---> b= -3.8

-5 = -2/5 (-3) + b ---> b= -6.2

Hence, you plot the equations y=2/5x -3.8  and y = -2/5 x - 6.2 by assigning values of x and plotting them against y as the attached photo.

Hope it will find you well.

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Luis brought $39.75 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1 4 as much as the souvenir, a
romanna [79]

Answer:

2.25

Step-by-step explanation:

13.2/2=6.75

Then divide 6.75/3=2.25

6 0
2 years ago
Can you answer 20-23 and please show work. Need on Thanks-giving or earlier.
Paha777 [63]
20. parallel lines will have the same slope, but different y intercepts
      In y = mx + b form, the slope is in the m position and the y intercept is        in the b position.
      So y = 3x + 4 and y = 3x + 6 are parallel lines

21. perpendicular lines will have negative reciprocal slopes.
      lets say u have a line..y = 2/3x + 4....the slope here is 2/3. To find the negative reciprocal, flip the slope and change the sign. So we have 2/3, flip the slope making it 3/2, change the sign making it -3/2. So ur perpendicular line will have a slope of -3/2.
so ur equations can be : y = 2/3x + 4 and y = -3/2x + 4

22. y = 2x + 5...slope here is 2. Parallel lines have the same slope.

y = mx + b
slope(m) = 2
(-3,1)...x = -3 and y = 1
sub and find b, the y int
1 = 2(-3) + b
1 = -6 + b
1 + 6 = b
7 = b
so this equation is : y = 2x + 7

23. 4x + 3y = (I cant see the last number..but we dont need it)
      3y = -4x + ?
      y = -4/3x + ?.....slope here is -4/3. A perpendicular line will have a negative reciprocal slope. So out perpendicular line will have a slope of 3/4.

y = mx + b
slope(m) = 3/4
(-8,-5)...x = -8 and y = -5
sub and find b, the y int
-5 = 3/4(-8) + b
-5 = - 6 + b
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1 = b
so ur equation is : y = 3/4x + 1
5 0
3 years ago
After counting her weekly earnings, she bought a candy bar for $.45, a pen for 250 and her mom gave her 2.00. She had $5.05 left
horsena [70]

Answer:

She started with $6.00.

Step-by-step explanation:

1. This problem is meant to have you work backwards from the information given. Firstly, it is important to write all the expenses and earnings she had to her weekly earnings.

Starting Amount = ?

- $0.45 (candy bar)

- $2.50 (pen)

+ $.200 (mom)

End Total = $5.05

2. With this information, this next step will be much easier. With this process, you can now use inverse operations to undo the last few equations.

Firstly, $2.00 given by her mom will be subtracted from $5.05.

Secondly, with our new total of $3.05, $2.50 from purchasing the pen will be added to this amount. This leaves you with $5.55.

Lastly, the $0.45 cents she spent with the candy bar will be added to the $5.55.

This leaves the starting amount to $6.00.

3.  She started with $6.00

6 0
3 years ago
Read 2 more answers
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