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3 years ago

Which expressions are equivalent to 2 (a + 3b)?

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

8 0

Answer:

A & B

Step-by-step explanation:

A is spot-on because of the use of distributive property. B by the use of like terms.

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AB and AC are tangent. Find AB

LuckyWell [14K]

Answer:

$AB = \frac{11}{2}$

Step-by-step explanation:

Given

The above diagram

$AB = 3y + 4$

$AC = 11y$

Required

Determine length AB

Tangents drawn from the same point of a circle are equal;

<em>This implies that</em>

$AB = AC$

Substitute values for AB and AC

$3y + 4 =11y$

Subtract 3y from both sides

$3y - 3y + 4 = 11y - 3y$

$4 = 8y$

Divide both sides by 8

$\frac{4}{8} = \frac{8y}{8}$

$\frac{4}{8} = y$

$\frac{1}{2} = y$

Substitute $\frac{1}{2}$ for y in $AB = 3y + 4$

$AB = 3 * \frac{1}{2} + 4$

$AB = \frac{3}{2} + 4$

$AB = \frac{3 + 8}{2}$

$AB = \frac{11}{2}$

8 0

3 years ago

How do I factor out the coefficient of the variable such as 1/3b -1/3?

Nutka1998 [239]

I think it is factored out like this:
1/3(b-1)

5 0

3 years ago

Read 2 more answers

If A = 4 what is the value of the expression 12 - a/4

antiseptic1488 [7]

I hope this helps!!

7 0

3 years ago

Read 2 more answers

Please help pleaasse

Luden [163]

Answer:

C , 30 N

Step-by-step explanation:

7 0

2 years ago

A jar of quarters and dimes contains $20.00. There are 110 coins in all. How many of each are there?

VikaD [51]

Answer:

There are 50 dimes and 110-50 = 60 quarters in the collection.

Step-by-step explanation:

Let D be the number of dimes.

Then the number of quarters is (110-D).

The "value equation" is

10D + 25*(110-D) = 2000.

Simplify and solve for D:

10D + 2750 - 25D = 2000,

-15D = 2000 - 2750,

-15D = -750,

D = %28-750%29%2F%28-15%29 = 50.

6 0

3 years ago