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3 years ago

The circle below is centered at (3 1) and has a radius of 2 what is its equation

Mathematics

1 answer:

Dominik [7]3 years ago

7 0

Answer:

(x-3)^2 + (y-1)^2 = 4

Step-by-step explanation:

The equation of a circle is usually written in the form

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

The center is at the origin so (h,k) = (3,1) and the radius is 2 so r=2

(x-3)^2 + (y-1)^2 = 2^2

(x-3)^2 + (y-1)^2 = 4

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3 years ago

Simplify 1/3n (-6+27m-51p)

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1/3n * -6 = -2n
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3 years ago

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What is the area of triangle ABC?

miskamm [114]

Answer:

<h2>7 square units</h2>

Step-by-step explanation:

As you can observe in the image attached, we know the coordinates of each vertex of the triangle.

To find the area using only its vertex coordinates, we need to use the following formula

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Where the coordinates are

$A(1,1)\\B(4,0)\\C(3,5)$

Replacing coordinates, we have

$A=\frac{1}{2}[1(0 -5)+4(5 -1 )+3(1-0 ) ]\\A=\frac{1}{2} [-5+16+3]=\frac{1}{2}(14)\\ A=7$

Therefore, the area of the triangle is 7 square units. So, the right answer is the second choice.

8 0

3 years ago

This one also thx PLZZ be right

nydimaria [60]

Answer:

D. x = 2

Step-by-step explanation:

$\frac{1}{2} x+3=\frac{5}{2} x-1$

$\frac{1}{2} x-\frac{5}{2 }x=-1-3$

$-\frac{4}{2} x=-4$

$-\frac{4}{2} x (-\frac{2}{4} )=-4(-\frac{2}{4} )$

$x = -4(-\frac{2}{4} )$

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3 years ago

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From 27 pieces of luggage, an airline luggage handler damages a random sample of four. The probability that exactly one of the d

dusya [7]

Answer:

0.273

Step-by-step explanation:

Let the number of insured pieces of luggage be i and u be the number of uninsured pieces of luggage, therefore,

i + u = 27

Now,

probability that exactly one of the damaged pieces of luggage is insured = (iC1)(uC3)/(27C4)

probability that none of the damaged pieces are insured = (uC4)/(27C4)

and,

(iC1)(uC3)/(27C4) = 2 (uC4)/(27C4)

=> u − 2i = 3

By solving, i + u = 27 and u − 2i = 3

i = 8 and u = 19

and,

(8C2)(19C2)/(27C4) = 0.273

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