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Doss [256]
2 years ago
10

A circle is centered at the point (-7,-1) and passes through the point (8, 7). The radius of the circle is ___ units. The point

(-15, __ ) lies on this circle
Mathematics
1 answer:
trapecia [35]2 years ago
5 0

Answer:

(x + 7)2 + (y + 1)2 = r2.

To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.

So, equation of circle: (x + 7)2 + (y + 1)2 = 289

Step-by-step explanation:

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Use the Distributive Property​ to simplify the expression<br> 4(​c​ - 2)
xeze [42]

Answer

Step-by-step explanation:

4xc=4c

4x-2= -8

4c-8

3 0
3 years ago
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,
AveGali [126]
2^(1+2n)

2^(1+0) = 2
2^(1+2) = 2^3 = 8
2^(1+4) = 2^5 = 32
4 0
3 years ago
Explain to a Friend Taylor wants to buy a bicycle
dlinn [17]

Answer: No

Step-by-step explanation:

First add the 48.75 and 18.30 together.

second multiply 5.50 by 9

she would only earn 49.50 so she won’t be able to buy the bike and helmet

6 0
2 years ago
The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz
Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

N = \dfrac{z^2 \cdot p \cdot q}{e^2}

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

N = \dfrac{1.645^2  \times 324}{3^2} = 97.4169

Therefore the appropriate sample size, N ≈ 97 adults.

8 0
2 years ago
If 8(a + b) = 48, what is the value of a + b?
Cloud [144]

Answer:

8(a + b) = 48 \\  \\ a + b =  \frac{48}{8}  \\  \\ a + b = 6

I hope I helped you^_^

5 0
2 years ago
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