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amm1812
2 years ago
15

graph the following functions to find how many points of intersection there are in y=(x+2)^2+3 and (x+2)^2+(y-2)^2=9

Mathematics
1 answer:
Finger [1]2 years ago
7 0

Refer to the image that I attached to my answer.

According to the graphing calculator, the two equations have two points of intersections (the points where the different colored lines cross).

Happy Studying~

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Please solve...Thanks
liberstina [14]
Micheal has 40ft of fencing for the rectangular dog run. So the perimeter of the dog run is 40ft.

Perimeter=40ft

The perimeter of a rectangle is:

P=2l+2w

Since we know the length is 5 and the perimeter is 40, we can solve for the width.

P=2l+2w
40=2*(5)+2w
40=10+2w
subtract 10 from both sides
30=2w
divide both sides by 2
15=w

The width of the fence is 15feet.

3 0
3 years ago
A painter is painting a rectangular wall that measures 20.5 ft by 16.4 ft. Each gallon can of paint covers 200 square feet. What
alekssr [168]

The painter needs at least two gallons of paint to cover the wall.

To get this answer, you first need to find the area of the wall; by multiplying 20.5 x 16.4. This will get you 336.2.

Then, you need to divide 336.2 by 200. This will get you approx. 1.6.

If it's asking for partial gallons as well, stop here. Your answer is 1.6.

If not, continue.

Unless you're including partial gallons, you can't get 1.6 gallons of paint, so you need to round up. This will be 2 gallons.

5 0
2 years ago
Read 2 more answers
Which type of factoring is used to factor the following expression:<br> 2x^2 + 7x- 30
svetlana [45]

Answer:

 (2x - 5) • (x + 6)

7 0
3 years ago
Find y (please someone answer)
Alex73 [517]

Answer:

Y=√2

Step-by-step explanation:

We can use the pathagorian theorum: A²+B²=C² now in this case it would be X²+Y²=2² we also know that  X and Y are the same number in this problem because they have the same corresponding angle (triangle angles always add to 180 and since we know 2 of the angles are 45 and 90 the remaining angle will also be 45) Because of this we can change our equation to Z²+Z²=2² (I'm using Z so that we do not confuse it with another letter we've already used) from there we can go to Z∧4=2² and then we will solve the equation. Z=√2 Z also equals X and Y therefore Y=√2

I hope this helps and please let me know if there is anything you don't understand I would be happy to clarify!

5 0
3 years ago
Kay was walking along the bridge above the river. She accidentally lost her grip on her camera when she was trying to get it out
nikklg [1K]

Answer:

5 seconds it will hit the water.

Step-by-step explanation:

y=-16t²+400

add -16t² to both sides

-16t²=-400

divide both sides by 16

t²=-25

t=√25

t=5

8 0
3 years ago
Read 2 more answers
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