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andre [41]
4 years ago
9

A circle whose center is the origin passes through the point (-5,12). Which point also lies on this circle?

Mathematics
1 answer:
schepotkina [342]4 years ago
3 0
The answer is B(11, 2sqrt(12) )
proof

the main equation of the circle is   (x-x1)²+(y-y1)²=R²
where C(x1, y1) is the center 
so if the center is the origin, it is O(0,0), and the equation becomes
<span>  (x)²+(y)²=R²
</span>and the circle passes through the point (-5,2) so we can write 
(-5)²+12²=R², it implies R= sqrt(25+144)=sqrt(169)=13

and  for <span>B(11, 2sqrt(12) )     </span>11²+  (2sqrt(12))²= 121 + 48= 169= 13
it is checked.
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Help with this question please also explain how you got your answer. Will mark brainliest.
sergij07 [2.7K]
Green.


You first must find the Least Common Denominator(LCD) of the fractions. You find that it is 20. 4/5 will turn into 16/20 because you must make it have a denominator with 20, and by doing so, you must multiply to get 20. 4×4=16, 5×4=20: 16/20. For 1/2, simply multiply by 10 to get 20 as the denominator. 1×10=10, 2×10=20: 10/20. Compare the two. You may convert the fractions to decimals to make your answer reasonable. 16/20 is clearly more than 10/20, so there is your answer.

P.S

16/20 is 0.8 as a decimal.
10/20 is 0.5 as a decimal.

Oh, and You're welcome!
3 0
4 years ago
Michael wants to buy an efficient Smart car that according to the latest EPA standards gets 33 mpg in the city and 40 mpg on the
e-lub [12.9K]

Answer:

17690

Step-by-step explanation:

The amount Michael owes is given by :

y = - 290x +18,560

x = number of months ; y = amount owed

Amount owed after 3 months :

Put x = 3 in the equation :

y= - 290(3) +18,560

y = - 870 + 18560

y = 17690

According to the general form of a linear equation :

y = mx + c

Where, m = slope ; c = intercept

The slope = - 290 ; Intercept = 18560

Slope is the change in y per unit change in x ; The slope means that amount owed, y decreases by 290 per month

The intercept shows that the original amount borrowed is 18560

Amount Michael owes his father decreases by 290 per month.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

8 inches for the forearm as well.

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Answer:

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Step-by-step explanation:

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