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jasenka [17]
2 years ago
7

What is the distance between 16 and -25

Mathematics
1 answer:
murzikaleks [220]2 years ago
4 0

the distance between 16 and -25 is 41

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Write the standard form of the equation of the circle with center (-5,-7) that passes through the point (7,5).
shutvik [7]

Answer:

(x + 5)² + (y + 7)² = 288

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

The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)

r = \sqrt{(7+5)^2+(5+7)^2} = \sqrt{12^2+12^2} = \sqrt{288}

Hence

(x - (- 5))² + (y - (- 7))² = (\sqrt{288})², that is

(x + 5)² + (y + 7)² = 288

4 0
3 years ago
.................................
PolarNik [594]

Answer:

Loading Answer...

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
if every child took 12 apples,there would be three left.if each childtook 9 apples,there would be 21 apples left how many apples
White raven [17]
Multiples of 12 : 12 , 24 , 36 , 42 , 60 , 72 , 84 , 96 , 108 , 120
3 left  (+3)        : 15 , 27 , 39 , 45 , 63 , 81 , 87 , 99 , 111 , 123

Multiples of 9   : 09 , 18 , 27 , 36 , 45 , 54 , 64 , 72 , 81 , 90
21 left  (+21)    : 30 , 39 , 48 , 57 , 66 , 75 , 85 , 93 , 102, 111

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Answer : There are 111 apples 
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5 0
2 years ago
1. Perform the indicated operations, and then answer the question.
Alexandra [31]
A is the correct answer
4 0
2 years ago
The sine and cosine of one of the acute angles in a right triangle are equal. What is the tangent of the angle?
Gnoma [55]

Answer:

1

Step-by-step explanation:

Since tan(x) = sin(x)/cos(x), if sin(x) = cos(x) then tan(x) must be 1.

You can even reason that the acute angle is 45° and sin(x)=cos(x) = \frac12\sqrt2.

4 0
3 years ago
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