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HACTEHA [7]
3 years ago
12

What is the center of the circle given by the

Mathematics
1 answer:
Andru [333]3 years ago
5 0

Answer:

B. (−17, 4)

Step-by-step explanation:

We can write the equation of a circle in the form

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x + 17)^2 + (y − 4)^2 = 23

(x - -17)^2 + (y − 4)^2 = ( sqrt (23))^2

The center is (-17,4) and the radius is (sqrt(23)

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Please Explain/Show your work!
Zigmanuir [339]

Answer:

They are both proportional.

Tank A = .00375 minutes/gallon

Tank B = 2/600 or ~0.003 minutes/gallon

Step-by-step explanation:

They are both proportional because as time increases, the amount of gallons increases.

Tank A unit rate

Tank B unit rate

Rate = rise / run

Choose points on the graph that has definite points.

Tank A = (1.5 mins - 0.75 mins) / 200 gallons

Tank A = .00375 minutes/gallon

Tank B = (2 mins - 0 mins) / 600 gallons

Tank B = 2/600 or .003 minutes/gallon

3 0
3 years ago
The cost of 3 notebooks and 2 pencils is $5.10. At the same prices, the cost of 2 notebooks and 3 pencils is $4.65. What is the
Pepsi [2]

Answer:

$1.95

Step-by-step explanation:

notebook = n

pencil = p

3n + 2p = 5.10

2n + 3p = 4.65

multiply top equation by 2 and bottom by 3

6n + 4p = 10.20

6n +9p = 13.95

subtract bottom equation from the top equation

-5p = -3.75

divide by 5, negatives cancel out

p  = 0.75

sub p into either equation, I chose the original top equation

3n + 2(0.75) = 5.10

3n + 1.50 = 5.10

subtract 1.50 from both sides

3n = 3.60

divide both sides by 3

n = 1.20

p = 0.75

n + p = 1.95 (the fourth option)

4 0
3 years ago
A rectangular pool is 6 meters wide and 8 meters long. If you swim diagonally across the pool, how many meters would you be swim
Vitek1552 [10]

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

<u>Given the following data:</u>

  • Width of rectangle = 6 meters
  • Length of rectangle = 8 meters

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Substituting the given parameters into the formula, we have;

Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}

Hypotenuse = 10 meters.

Read more here: brainly.com/question/18890335

4 0
2 years ago
Can you guys help me please
aleksandrvk [35]

Answer:

Below

Step-by-step explanation:

Angle A= 65 degrees

Angle N= 53 degrees

Angle L= 45

4th image= x=30

                   2x=60

5th image= x=50

                      x+30=80

Please tell me if this helps!

6 0
3 years ago
HELP PLEASE ILL GIVE YOU BRAINLIST !! I DONT UNDERSTAND IT .
inn [45]

Step-by-step explanation:

35 + 35 = 70

180 - 70 = 110

180 - 110 = 70

70  + 70 = 140

180 - 140 = 40

so the answer is 40

7 0
3 years ago
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