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3 years ago

How do you factor out the coefficient of the variable

Mathematics

1 answer:

Gelneren [198K]3 years ago

6 0

To factor out the coefficient of a variable you divide it by the sum.

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A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha

gogolik [260]

Answer:

Dimensions of original room = 12 x 12 feet.

Explanation:

Let the size of old square room be a x a.

New dimension = ( a+4 ) x ( a + 6 )

We have area of the new room will be 144 square feet greater than the area of the original room.

So, ( a+4 ) x ( a + 6 ) = a x a + 144

a²+10a+24= a²+144

10a = 120

a = 12 feet.

Dimensions of original room = 12 x 12 feet.

8 0

2 years ago

A researcher gathered data on hours of video games played by school-aged children and young adults. She collected the following

antiseptic1488 [7]

Step-by-step explanation:

The complete frequency distribution table for the data has been attached to this response.

The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear 9 times in the data. Also, the numbers in the range 3 - 5 appear 6 times. The same logic applies to other ranges.

The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.

So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e

9 / 38 = 0.24

Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e

6 / 38 = 0.16

Do the same for the other ranges.

5 0

3 years ago

Math pls help!! larger number? smaller number?

Georgia [21]

Answer:

larger number = 35

smaller number = 26

Step-by-step explanation:

let larger number be x

and another ( x-9 )

so, x+x-9=61

2x = 70

x = 35

smaller number = 35 - 9

= 26

5 0

2 years ago

Using the transformation T : (x, y) → (x + 2, y + 1), find the distance named Find C'A'

deff fn [24]

We have that
A' (2,1)

C(-2,2)-------> Using the transformation-----> C' (-2+2,2+1)----> C' (0,3)

with
A' (2,1) and C' (0,3)
find the distance C'A'

d=√[(y2-y1)²+(x2-x1)²]----> d=√[(3-1)²+(0-2)²]----> d=√8----> 2√2 units

the answer is
the distance C'A' is 2√2 units

5 0

2 years ago

Identify a transformation of the function f(x)

N76 [4]

Answer:

2nd option

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here g(x) = (x - 6)²

The base graph has been shifted right 6 units

7 0

3 years ago