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WINSTONCH [101]
3 years ago
13

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

(x+4)^2 + (y-9)^2 = 25

Step-by-step explanation:

To write the equation of a circle, use the formula (x-h)^2+(y-k)^2 = r^2 where the center of the circle is (h, k).

This means the equation is (x--4)^2 + (y-9)^2 = r^2\\\(x+4)^2 + (y-9)^2 = r^2.

Find the radius r by dividing the diameter of 10 in 2. The radius is 5.

So the equation of the circle is (x+4)^2 + (y-9)^2 = 25

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You and your best friend are meeting at
chubhunter [2.5K]

Answer:

  10.6 miles

Step-by-step explanation:

The corner where Starbucks is located could be considered to be the right angle in a right triangle having legs of 8 miles (distance to you) and 7 miles (distance to your friend). The straight-line distance (d) from you to your friend is the hypotenuse of that triangle. Its length can be found from the Pythagorean theorem.

  d² = 8² +7²

  d² = 64 +49 = 113

  d = √113 ≈ 10.6

You and your friend are about 10.6 miles from each other.

4 0
2 years ago
Please answer this math question
IgorC [24]
0.
1/2 = 1/2
No need to add anything
8 0
3 years ago
HELPPP!! Plzzzz can’t do any more points so 10
Anestetic [448]

3. Answer: a) RT

                   b) XZ

                   c) TS


4. Answer: a) 26

                  b) 58

                  c) 21.5

                  d) 127

<u>Step-by-step explanation:</u>

2(PT) = AE              2(CP) = AN                 2(CT) = EN

2(13) = AE               2(29) = AN                  2(CT) = 43

  26 = AE                  58  = AN                      CT  = 21.5


Perimeter = AE + AN + EN

                = 26 + 58 + 43

                = 127

4 0
3 years ago
A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to
Archy [21]

Answer:

0.2916, 0.1488, 0.0319

Step-by-step explanation:

Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.

Since each trial is independent there is a constant probability for any random car to need oil is 0.10

Let X be the number of cars that need oil

A) Here X is BIN(4,0.1)

P(X=1) = 4C1(0.1)(0.9)^3 \\= 0.2916

B) Here X is Bin (8, 0.1)

P(x=2) = 8C2 (0.1)^2 (0.9)^6\\\\=0.1488

C) Here X is Bin (20,5)

P(x=5) = 20C5 (0.1)^5 (0.9)^{15} \\=0.0319

3 0
2 years ago
The equation for a circle is ​x2+10x+y2+12y+52=0​ .
aev [14]
<span><span><span>I believe the answer is (x+5)^</span>2</span>+<span><span>(y+6)^</span>2</span>=9

</span>
8 0
3 years ago
Read 2 more answers
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