The point (5,4) lies on a circle. what is the length of the radius of this circle if the center is located at (3,2)

1 answer:

4 0

Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r. The general form of the equation for a circle is $(x-h) ^{2} +(y-k) ^{2} = r^{2}$ . We will fill in accordingly: $(5-3) ^{2}+(4-2) ^{2} = r^{2}$ . Solve for r to get that $r= \sqrt{8}$

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Read 2 more answers

These are the options (0,-5) (4,-2) (8,2) (-16,-17) (-1,-8) (-40,-34)

Liono4ka [1.6K]

All you need to do is plug in the points!

Here we go:

3(0)- 4(-5)-8

If it equals 12, then it is a point and an answer.

3(0)- 4(-5)-8= 12

(0,-5) is a point!

Next one:

3(4)-4(-2)-8

12+8-8
That equals twelve. (4,-2) is an answer as well!

I am going to quickly plug in the rest of the points, since I think you have the idea.
(8,2) 3(8)-4(2)-8= 8 This is not an answer.
(-16,-17) 3(-16)-4(-17)-8 = 12 This is answer.
(-1,-8) 3 (-1)-4(-8)-8= 21 This is not an answer.
(-40,-34) 3(-40)-4(-34)-8= 8 This is not an answer.

I hope this helped you!

Brainliest answer is always appreciated!

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Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine

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Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is $A=\frac12bh$ . One can then tackle the question by doing the following: