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3 years ago

Factor the expression 4r^2 - 64

Mathematics

2 answers:

elena55 [62]3 years ago

7 0

For this case we must factor the following expression:

$4r ^ 2-64$

We take common factor 4:

$4 (r ^ 2-16)$

We factor the expression within the parenthesis:

$4 [(r-4) (r + 4)]$

Finally we have that the factored expression is:

$4 [(r-4) (r + 4)]$

Answer:

$4 [(r-4) (r + 4)]$

Shkiper50 [21]3 years ago

5 0

Answer:

4(r+4)(r-4)

Step-by-step explanation:

If you factor it out, then it will be 4(r+4)(r-4). You can double check by multiplying it.

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Solve 3(a + 3) – 6 = 21. Write a reason for each step.

kakasveta [241]

Answer:

Step-by-step explanation:

3(a+3)-6=21

<=>3a+9-6=21

<=>3a+3=21

<=>3a=18

<=>a=6

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2 years ago

Read 2 more answers

What equation is graphed in this figure?

bixtya [17]

The answer is C

Here is the process, hope it helps!
y+2=-3/2(x-2)
y+2=-3/2x+3
y=-3/2x+1

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3 years ago

Find the constant variation for the direct variation given

Artyom0805 [142]

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3 years ago

A bike wheel with a diameter of 14 inches makes 100 rotations. How far does the bike go?

mars1129 [50]

1,400 inches or 116.7 feet

4 0

3 years ago

Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola.

SCORPION-xisa [38]

Part A) How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup?

So if we have 1/2 cup of syrup and 1/6 is needed we can divide 1/2 by 1/6 to find our answer for part a.

1/2 / 1/6

"keep change flip" -> 1/2 x 6

answer -> 3

He can make 3 bowls of granola

Part B) On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.

(visual attatched)

You could say "This model visually shows the solution for Part A because each bowl of granola has 1/6 cup of syrup in it. The 1/2 cup is split into 3 different parts, as you can see"

(draw it neater though, it's hard on a computer with a mouse haha)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(second problem you commented)

Part A: How many 3 over 4 foot pieces can Clark cut from the 7 and 1 over 2 feet of wire? Show your work. (5 points)

First let us change 7 1/2 into an improper fractoin,

7 x 2 = 14 + 1 = 15/2

So then we can, as we did above, divide 15/2 by 3/4 which looks like:

15/2 / 3/4

keep, change, flip -> 15/2 x 4/3

60 / 6

answer -> 10

Clarck can cut 10 3/4 foot pieces.

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.

*I am honestly kind of confused by this question, so here is some words that are hopefully somewhat correct*

You could say here that "Calrck had 7 1/2 feet of wire. He needed 3/4 pieces, so when he cut it up he got 10 pieces. This is because 3/4 times 10 is 7 1/2 so this quotient makes sense with the two fractions given."

~~~~~~~~~~~~~`

Hopefully these are correct and help, have a nice day! :D

6 0

3 years ago