All categories

3 years ago

Factor out the coefficient of the variable: 2.4n + 9.6

1 answer:

6 0

To factor out the coefficient of the variable, you must take away from all parts of the expression. Similar to distribution, except the reverse.

2.4n + 9.6

2.4(n + 4)

You might be interested in

Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

$(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}$

Line h passes through the following points:

$(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}$

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

$\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1$

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0

3 years ago

Only do the last two word problems. thanks!

bazaltina [42]

Answer:

x=24-1

x=9+1

Step-by-step explanation:

3 0

3 years ago

What is the volume of a cone with diameter 21 m and height 4 m?

natima [27]

For this case we have by definition, that the volume of a cone is given by:

$V = \frac {1} {3} * \pi * r ^ 2 * h$

Where:

A: It is the cone radius

h: It's the height

They tell us that the diameter is 21 m, then the radius is half the diameter, that is: 10.5m. The height is 4m. Substituting the data:

$V = \frac {1} {3} * \pi * (10.5) ^ 2 * 4\\V = \frac {1} {3} * \pi * 110.25 * 4\\V = 147 \pi$ .

Finally, the volume of the cube is $147 \pi \ m ^ 3$

ANswer:

Option B

3 0

3 years ago

you want to purchase a new pair of jeans that cost $48 but on sale for 15% off. what's the sale price?

jekas [21]

40.8 because u take 15 percent of 48 and subtract it from 48

7.2 - 48 = 40.8

3 0

3 years ago

Help pls <br><br> 4 divided by 10 2/3

stira [4]

42.666666...........

7 0

3 years ago

Read 2 more answers