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lesya [120]
3 years ago
6

Find the possible values for k for which the line y = (1/2)x + k is tangent to x^2 + y^2 = 8k.

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

8k because 8k had only simbol of k

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Step-by-step explanation:

<u>Step 1:  Find the difference quotient</u>

<u />f(x+h) = 2(x+h)^2 + 5(x+h)

f(x+h) = 2(x^2+2xh+h^2)+5x+5h

f(x+h) = 2x^2+4xh+2h^2+5x + 5h

f(x) = 2x^2 + 5x

<em>Plug it into the formula</em>

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\frac{2x^2+4xh+2h^2+5x+5h - (2x^2+5x)}{h}

\frac{2x^2 - 2x^2 + 4xh + 2h^2 + 5x - 5x + 5h}{h}

\frac{2h^2+4xh+5h}{h}

<em>Pull out an h</em>

<em />\frac{h(2h+4x+5)}{h}

2h+4x+5

Answer:  2h+4x+5

6 0
3 years ago
Read 2 more answers
Are the triangles congruent?
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Answer:

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Step-by-step explanation:

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