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Oksana_A [137]
3 years ago
10

Write an equation for a circle with a center at (9 -2) and has a radius of 7.

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0
The equation of a circle is given as:

(x-a)^2 + (y- b)^2 = r^2  where (a, b) is the center.

(x-9)^2  = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4      ------ (ii)
r^2 = 49                          ------ (iii)

Adding equation (i) and (iii) 
x^2 + y^2 - 18x + 4y + 85 -----(iv)

Equating equation (iv) and (iii)

 <span>x^2 + y^2 - 18x + 4y + 85 = 49

Arrange the equation:

</span> <span>x^2 + y^2 - 18x + 4y + 36 = 0
</span><span>
I hope this helps

</span>
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What is the minimum number of clients the travel agent should survey? Note that z=1.96 for a 95% confidence interval.
slega [8]

Answer:

121

Step-by-step explanation:

Given data as per the question

Standard deviation = \sigma = 840

Margin of error = E = 150

Confidence level = c = 95%

For 95% confidence, z = 1.96

based on the above information, the minimum number of clients surveyed by the travel agent is

n = (\frac{z\times \sigma}{E})^2

=  (\frac{1.96\times 840}{150})^2

= 120.47

= 121

hence, the 121 number of clients to be surveyed

Therefore we applied the above formula to determine the minimum number of clients

4 0
3 years ago
The perimeters of a rectangle and an equilateral triangle are equal. The length of the rectangle is twice the width, and the sid
Alex Ar [27]

Step-by-step explanation:

solution.

Let S represent side of the equilateral triangle.

perimeter of equilateral ∆ =3×S

Therefore,if we let width to be represented by W

Width of rectangle=W

Length of rectangle=2W

one side of equilateral triangle= W+8

Therefore after analysing the question, the true statement is; The length of the rectangle is 2W

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3 years ago
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Black_prince [1.1K]
Hey! this is your answer...y=2 over x +4
3 0
3 years ago
Select the correct answer. Joshua likes to read. He read 6 books when he was 6 years old. Every year he doubled the number of bo
astra-53 [7]

Answer: C.186


Step-by-step explanation:

1. You know that he read 6 books when he was 6 years old and every year he doubled the number of books he read the previous year.

2. Let's call n the number of book he read each year and n_t the number of books he read between the ages of 6 and 10, then:

 - At 6 years old:

n=6

- At 7 years old:

n=6*2=12

- At 8 years old:

n=12*2=24

- At 9 years old:

n=24*2=48

- At 10 years old:

n=96

The total books he read between the ages of 6 and 10 is:

n_t=6+12+24+48+96\\n_t=186

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3 years ago
Please help asap I will mark brainliest and give points (:<br> xoxo<br> -rosie
nataly862011 [7]
First put the numbers in order to find the median:

26, 27, 28, 32, 32, 33, 35, 36, 38, 40, 42, 48

The number in the middle will be the median. In this case, there is an even number of data points so we will have to average the two numbers in the middle:

33 + 35 = 68...68/2 = 34. Therefore the median is 34

Now to get the inequality, add and subtract 6 from 34:

34 + 6 = 40
34 - 6 = 28

So the inequality is:

28 < x < 40
7 0
3 years ago
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