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polet [3.4K]
3 years ago
6

What is the equation of the circle with radius, r = 11 , and the center at (0, - 7)

Mathematics
1 answer:
Dimas [21]3 years ago
4 0

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given (h, k) = (0, - 7) and r = 11, then

(x - 0)² + (y - (- 7))² = 11², that is

x² + (y + 7)² = 121 → A

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Answer:

45/2

Step-by-step explanation:

U first have to change the mixed number to improper fraction and find the least common multiple

8 0
3 years ago
Am i correct ?? for a brainly and pls explain
Paladinen [302]

Answer:

Yes.

Step-by-step explanation:

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7 0
2 years ago
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A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o
lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

<em>going upstream              </em>

y-x=\frac{150}{5}        

y-x=30 ----> equation A            

<em>going downstream                                  </em>

y+x=\frac{150}{3}                            

y+x=50 ----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40                    

<em>Find the value of x                                </em>

y+x=50                

40+x=50            

x=10          

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

8 0
3 years ago
(a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected
vodka [1.7K]

Answer:

a.    0.71

b.    0.9863

Step-by-step explanation:

a. From the histogram, the relative frequency of houses with a value less than 500,000 is 0.34 and 0.37

-#The probability can therefore be calculated as:

P(500000)=P(x=0)+P(x=500)\\\\\\\\=0.34+0.37\\\\\\\\=0.71

Hence, the probability of the house value being less than 500,000 is o.71

b.

-From the info provided, we calculate the mean=403 and the standard deviation is 278 The probability that the mean value of a sample of n=40 is less than 500000 can be calculated as below:

P(\bar X

Hence, the probability that the mean value of 40 randomly selected houses is less than 500,000 is 0.9863

8 0
4 years ago
What kind of transformation converts the graph of f(x) = 10x + 71 - 2 into the graph of
Over [174]

Answer:

A transition down six units

Step-by-step explanation:

-2-6=-8

8 0
3 years ago
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