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Tatiana [17]
3 years ago
15

A = √7 + √c and b = √63 + √d where c and d are positive integers.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

\displaystyle a:b=\frac{1}{3}

Step-by-step explanation:

<u>Ratios </u>

We are given the following relations:

a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]

b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]

\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]

From [3]:

9c=d

Replacing into [2]:

b=\sqrt{63}+\sqrt{9c}

We can express 63=9*7:

b=\sqrt{9*7}+\sqrt{9c}

Taking the square root of 9:

b=3\sqrt{7}+3\sqrt{c}

Factoring:

b=3(\sqrt{7}+\sqrt{c})

Find the ration a:b:

\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}

Simplifying:

\boxed{a:b=\frac{1}{3}}

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Find the focus for y=x^2+4x-7
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(2,-10.75)

EXPLANATION

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On a coordinate grid, AB has an end point B at (24, 16). The midpoint of AB is P(4, -3). What is the y-coordinate of Point A?
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The y-coordinate of point A is -22

Step-by-step explanation:

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B = (24,16)

P = (4,-3)

The formula for mid-point of AB will be given by:

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The y-coordinate of point A is -22

Keywords: Mid-point, coordinate geometry

Learn more about coordinate geometry at:

  • brainly.com/question/5565320
  • brainly.com/question/5720422

#LearnwithBrainly

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