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2 years ago

Find the equation of a circle with a center at (7, 2) and a point on the circle at (-2, -5).

Mathematics

1 answer:

KatRina [158]2 years ago

4 0

Answer:

(x-7)^2 + (y-2) ^2 = 130

Step-by-step explanation:

We need to find the length of the radius

the length of the radius is found by using the distance formula

r = sqrt( ( -2-7)^2+( -5 -2)^2)

sqrt( ( -9)^2+( -7)^2)

sqrt( 81+49)

sqrt(130)

The formula for a circle is

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

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

(x-7)^2 + (y-2) ^2 = 130

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Elimination Method: 6x - 4y = -24 and 4x + 5y = -2

nirvana33 [79]

Answer:

$(-2;-6)$

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

$\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.$

Now, let's pick one you want to eliminate.

<u>Eliminating x:</u> Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

$4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6$

<u>Eliminating y:</u> Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

$5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2$

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2 years ago

A rectangle is ( x + 6 ) meters long and ( 2 x − 1 ) meters wide. Which expression represents the PERIMETER of the rectangle?

Furkat [3]

Answer:

6x +10

Step-by-step explanation:

Perimeter = 2*(length + width)

= 2* (x+6 + 2x-1)

=2*(3x +5)

=2*3x + 2*5

=6x + 10

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2 years ago

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Jill wants to make melonade for her family reunion. She needs enough lemonade for 60 people to each have 1 cup. How many gallons

alexira [117]

Answer:

4 or 3.75

Step-by-step explanation:

there are 16 cups in a gallon

60/16 is 3.75

if you want you can round up

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Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the poin

mrs_skeptik [129]

The equation is y=-3/4(x-3)^2-7

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