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Ahat [919]
4 years ago
8

Which equation represents a circle with a radius of 8 centered at ( -3, 4)? A. (x – 3) 2 + ( y + 4) 2 = 8

Mathematics
1 answer:
arlik [135]4 years ago
7 0

Answer:

Step-by-step explanation:

hello :

B. (x + 3) 2 + ( y – 4) 2 = 64

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Answer:

y = 2x + 7

Step-by-step explanation:

Use Point Slope Form since we are given the slope and coordinates. Why is the slope 2x?

<em> </em><em>In</em><em> </em><em>Depth</em><em>:</em><em> </em><em>Parallel lines never touch so</em><em> </em><em>they</em><em> </em><em>are</em><em> </em><em> Lines that have same slope but different y intercept</em><em>.</em><em> An example is a square. A square has four parallel sides. The upper and lower sides will never touch because they are the same slope and they both have a finite distance vertically between them. </em>

<em>Back</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>question</em><em>,</em><em> </em><em>let</em><em> </em><em>use</em><em> </em><em>the</em><em> </em><em>Point</em><em> </em><em>S</em><em>lope</em><em> </em><em>Form</em><em>,</em>

<em>y -  y_{1} = m(x -  x_{1})</em>

<em>Where</em><em> </em><em>y1</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>y</em><em> </em><em>coordinate</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>point</em><em>,</em><em> </em><em>m</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>slope</em><em> </em><em>and</em><em> </em><em> </em><em>x</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>x</em><em> </em><em>coordinates</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>points</em><em>.</em>

<em>Substitute</em><em> </em>

<em>y  - ( - 1) = 2(x - ( - 4)</em>

<em>y + 1 = 2(x + 4)</em>

<em>Simplify</em>

<em>y + 1 = 2x + 8</em>

<em>y = 2x + 7</em>

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