All categories

4 years ago

Using the GCF (Greatest Common Factor) , what is the factored form of 24v - 84

Mathematics

1 answer:

sleet_krkn [62]4 years ago

8 0

Answer:12 (2v-7)

Step-by-step explanation: You have to find The GCF which is 12.THen you do 24v divide 12 which is 2v and do 84 divide 12 which is 7.Now put GCF which is 12 ,then write (,next write 2v - 7 .

Hope it helps :)

You might be interested in

Which equation is perpendicular to the graph of 5x - 3y = 12

ycow [4]

Answer:

y = -3/5x + c

Step-by-step explanation:

Re-arrange the initial equation so that the it becomes y =

To do this, you +3y on both sides to get 5x = 3y + 12

And then -12 on both sides to get 5x - 12 = 3y

Divide everything by 3 so you get 5/3x - 4 = y OR y = 5/3x - 4

The gradient of the initial equation is 5/3, to find the perpendicular line, you need the negative reciprocal of it, which is -3/5

Therefore your perpendicular line should be y = -3/5x + c

Because you didn't specify on what point they intersect, i can't find c for you.

5 0

3 years ago

Triangle DEF has vertices D = (-4,-4), E = (-2,-4), and F = (-3,-1). 5! 3 2 1 -7 6 5 4 3 2 2 3 4 5 6 10 5 3. What is the area of

maxonik [38]

Answer:

$Area = 3$

Step-by-step explanation:

Given

$D = (-4,-4)$

$E = (-2,-4)$

$F = (-3,-1)$

Solving (a) and (b):

See attachment for plot and labelled vertices

Solving (c): The area

This is calculated using:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2+x_3y_1 - x_1y_3|$

Where:

$D = (-4,-4)$ -- $(x_1,y_1)$

$E = (-2,-4)$ -- $(x_2,y_2)$

$F = (-3,-1)$ -- $(x_3,y_3)$

This gives:

$Area = \frac{1}{2}|(-4*-4) - (-4*-2) + (-2 *-1) - (-3*-4)+(-3*-4) - (-4*-1)|$

$Area = \frac{1}{2}|16 - 8 +2- 12+12 - 4|$

$Area = \frac{1}{2}|6|$

This gives

$Area = \frac{1}{2} * 6$

$Area = 3$

7 0

3 years ago

7. The difference of Grandma Annie's age and twice Carl's is 22. Gran

OlgaM077 [116]

<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

<em>Difference</em> = subtract
<em>Twice</em> = double
<em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

Difference of Annie's age and twice Carl's age is 22
Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

Let Annie's age be equal to <em>x.</em>
Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

Difference of Annie's age and twice Carl's age is 22
⇒ $x-2y=22$

Annie's age is 13 less than 3 times Carl's age
⇒ $x=3y-13$

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

$(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35$

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

$x=3y-13\\x=3(35)-13\\x=105-13\\x=92$

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

6 0

3 years ago

The length of a rectangle is twice its width. The length is 412 feet. What is the area of the rectangle?

attashe74 [19]

Answer:

Length is twice the Width

Perimeter = 126 ft.

let width = W

length = 2W

P = 2 length + 2 width

126 ft. = 2(2W) + 2W

126 ft. = 6W

21 ft. = W

width is 21ft., length is 42 ft.

Step-by-step explanation:

HOPE IT HELPS.

5 0

3 years ago

Read 2 more answers

Anne, Bridget, and Sasha shared a sum of money. Anne took 1/3 of the total amount, and Bridget took 1/4 of the remaining money.

lesya692 [45]

Answer:

180

Step-by-step explanation:

160= 1/3 * total
160*3 = total
480 = total

bridget = 1/4(total)
bridget = 1/4(480)
bridget took 120

Sasha took 1/2 of 360
Sasha took $180.

7 0

2 years ago