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liberstina [14]
3 years ago
11

If the rectangle perimeter equals 42 meters what is the length?

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0
21 is the length of the rectangle
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3x + 1 = 5X-13 if anyone knows what to do can they please help ​
Elza [17]

Answer:

  x = 7

Step-by-step explanation:

First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).

If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.

I like to start by subtracting <em>the variable term with the smallest coefficient</em>. Here, that is 3x, so we add -3x to both sides of the equation.

  3x -3x +1 = 5x -3x -13

  1 = 2x -13 . . . . . . . . . . . . combine like terms

Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:

  1 +13 = 2x -13 +13

  14 = 2x . . . . . . . . . . . . combine like terms

Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.

  (1/2)(14) = (1/2)(2x)

  7 = x . . . . the solution

__

It is generally a good idea to <em>check your work</em> by seeing if your solution value satisfies the equation:

  3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation

  21 +1 = 35 -13

  22 = 22 . . . . . . x = 7 is the solution

_____

<em>Additional comment</em>

By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...

  -2x +1 = -13

Subtracting 1 would give

  -2x = -14

and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.

5 0
3 years ago
One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?​
iogann1982 [59]

Answer:

22 divided 5 I would think

Step-by-step explanation:

4 0
2 years ago
Which line from the excerpt is an example of objective language? In the course of the construction of the Bridge a number of liv
Svetlanka [38]

Answer:

C

Step-by-step explanation:

The answer is C

7 0
3 years ago
PLS HELP ME 50 POINTS!!!!! I NEED AN ANSWER ASAP!!!!!!
Sholpan [36]

Answer:

They went up 16 levels.

Step-by-step explanation:

You can find that by finding the distance from -2 to 14.
To find the distance from two numbers, a and b, we can substitute both in the formula d = |b - a|, where d is the distance between them.

d = |14 - (-2)| \to |14 + 2|\to|16|\to16

4 0
1 year ago
Read 2 more answers
X=3 is a factor of x^3+3x^2-7x+19.
Andrew [12]

Answer:

52

Step-by-step explanation:

3^3+3(3)^2-7(3)+19

27+27-21+19

54-2

52

Hope this helps

7 0
3 years ago
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