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DerKrebs [107]
3 years ago
10

Find the sum or difference of (2m+7)-(3-4m)

Mathematics
2 answers:
pickupchik [31]3 years ago
6 0
(2m + 7) - (3 - 4m) 

First distribute the (-) in front of the quantity of 3 - 4m. 
Think of it as this: 

-1(3 - 4m) 

You multiply each number inside the parenthesis by -1. 

So: 

3*-1 = -3
-4m * -1 = 4m

Now that you've distributed the negative you can remove the parenthesis. 
Now you'll just set it all up like you would any normal problem. Because -3 is negative you'll make it subtract.... I'll show you what I mean: 

2m + 7 - 3 +  4m 

Combine like terms (Terms which have the same variables... in this case the same number of m's)

Rearranging them can help!

4m + 2m + 7 - 3 

6m + 7 - 3

6m + 4, is our difference!
zalisa [80]3 years ago
5 0
Distribute invisble -1

-1(3-4m)=-1(3)-1(-4m)=-3+4m

we have
2m+7-3+4m
move
2m+4m+7-3
add like terms
aka undistribute
m(2+4)+7-3
m(6)+4
6m+4
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The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length. Which of the f
Simora [160]

Answer:

The correct answer is option C.  x² - 4

Step-by-step explanation:

Area of rectangle  = Length * Width

It is given that ,

The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length.

Let 'x' be the number

Length of rectangle = x - 2

Width = Length + 4 = x - 2 + 4 = x + 2

<u>To find the area of rectangle</u>

Area = Length *  Width

Area = (x - 2)*(x + 2) = x² - 4

Therefore option C.  x² - 4 is the correct answer

6 0
3 years ago
What is the volume of the box with a height of 3/2 inches, a length of 7/2 inches, and a width of 5/2 inches?
masha68 [24]

Answer:

Volume = 52.5³

Step-by-step explanation:

Volume = Length * Width * Height

Substitute

Volume = 7/2 * 5/2 * 3/2

Volume = 105/2³

Simplify

Volume = 52.5³

Hope this was useful to you!

4 0
4 years ago
Help with this i dont understand
velikii [3]

Answer:

  a) 3/4

  b) 3/4

  c) 3/4

  d) all are 3/4

Step-by-step explanation:

The slope of a line is defined as the change in y divided by the change in x. This is often referred to as "rise over run":

  slope = Δy/Δx = "rise"/"run"

The triangles are drawn against the line so that you can use them to identify values of "rise" (vertical change) and "run" (horizontal change) between two points on the line.

__

<h3>a)</h3>

The slope of the segment AC is found by dividing the "rise" (BC = 3) by the "run"(AB = 4)

  slope of AC = BC/AB = 3/4

__

<h3>b) </h3>

The slope of FH is similarly computed. Here, it is made a little more difficult, because you must estimate the value of GH.

 slope of FH = GH/FG = 1.5/2 = 0.75 = 3/4

__

<h3>c) </h3>

The slope of CE is ...

  slope of CE = DE/CD = 6/8 = 3/4

__

<h3>d)</h3>

The slopes in a), b), c) are all 3/4.

You can reasonably draw the conclusion that the slope of a line is the same everywhere. A line has constant slope.

3 0
3 years ago
Hey surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 150 feet from a Pi
AleksAgata [21]

Answer: 87 feet

Step-by-step explanation:

The angle between the pilling is 60°

The adjacent side of the right angle is 150

So let the distance between the pilling be y, that is opposite side.

Opposite / adjacent = tan (60°)

y / 150 = tan (60)

y × tan (60°) = 150

Divide both side by tan (60°)

y = 150 / tan (60°)

y = 150 / 1.7321

y = 87 feet

4 0
3 years ago
Can someone please help me with this!!
miv72 [106K]
Hello there! Given the expression, we can solve through a series of steps:

1. Simplify

-5 + 7 • 1

2. Multiply (according to order of operations)

7 • 1 = 7

3. Add

-5 + 7 = 2

Your final answer is 2. Hope this helps!
8 0
2 years ago
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