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3 years ago

If AD = y + 6 and DC = 2y, what is the length of DC? 12 -12 -15 15

Mathematics

2 answers:

babymother [125]3 years ago

5 0

Y+6=2y
-y=-6
y=6
The length of DC is 12

Ira Lisetskai [31]3 years ago

5 0

Answer:

$DC=12\ units$

Step-by-step explanation:

Step 1

Find the value of y

In this problem we know that

$AD=DC$ -----> equation A

$ED=DB$

see the attached figure to better understand the problem

we have

$AD=y+6$

$DC=2y$

substitute the values in the equation A

$y+6=2y$

solve for y

$2y-y=6$

$y=6\ units$

Step 2

Find the value of DC

we have that

$DC=2y$

substitute the value of y

$DC=2(6)=12\ units$

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$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}$

Step-by-step explanation:

Simplifying Rational Expressions

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}$

Operating on the numerators:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}$

Removing parentheses:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}$

Simplifying:

$\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}$

The expression cannot be further simplified.

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2 years ago

2/9 h = 8 h= Pls tell me what h = !

Wewaii [24]

Answer:

h=36

.......................

3 0

3 years ago

Cami and Enrique's ages add up to 46. Cami is two years older than three times Enrique's age. How old are Cami and Enrique?

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3 years ago

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8 0

3 years ago

Read 2 more answers

Can someone explain why A is the right answer to this question? I'm unsure of how to work out this problem.

joja [24]

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$36=\pi r^2\\ \frac{36}{\pi}=r^2\\ \frac{\sqrt{36}}{\sqrt{\pi}}=r\\ \frac{6}{\sqrt{\pi}}=r$

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Your answer is A. 12√π.

4 0

3 years ago