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frozen [14]
2 years ago
5

Solve the equation for x

Mathematics
1 answer:
Ivahew [28]2 years ago
7 0

Answer:

x = z - m + y

Step-by-step explanation:

Given:

\displaystyle \large{z = m+x-y}

To solve for x-term, we have to isolate it. We can do by subtracting m-term both sides and add y-term both sides.

\displaystyle \large{z-m+y=m+x-y-m+y}\\\\\displaystyle \large{z-m+y=x}\\\\\displaystyle \large{x=z-m+y}

Therefore, the answer to this question is x = z - m + y

Please let me know if you have any questions regarding my answer or explanation!

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the area of a window is 40 square feet. the length is the square root of 20 feet. what is the width of the window
Irina18 [472]
----------------------------------------------------
Given information
----------------------------------------------------
Area = 40ft²
Length = √20 ft

----------------------------------------------------
Formula
----------------------------------------------------
Area = Length x Width

----------------------------------------------------
Find Width
----------------------------------------------------
40 = √20 x width
Width = 40 ÷ √20
Width = 40 ÷ 2√5
Width = 20 ÷ √5
Width =  \frac{20}{ \sqrt{5} }

Answer: \boxed {Width = \frac{20}{ \sqrt{5} }}

3 0
4 years ago
10x-5 9x+2 is my equation and I don’t know how to solve it I really need help,someone please help me solve it.
Ostrovityanka [42]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.

The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.

We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:

  10 -9x -5 = 9x -9x +2

  x -5 = 2 . . . . simplify

Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:

  x -5 +5 = 2 +5

  x = 7 . . . . simplify

The solution is x = 7.

_____

<em>Additional comment</em>

If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.

8 0
3 years ago
What's the Error? Explain the error. Find the correct solution.<br>19 + (-31) = 12​
Alex

Answer:

The answer is incorrect because 12 should be negative not positive.

Step-by-step explanation:

1. 19 + -31 = - 12

2. Twelve is negative because if you were to start off at -31 and add 19 the answer would remain negative since -31 in a sense is "bigger" than 19. You would need more of a positive number to make -31 positive such as 40.

40+ -31 = 9

5 0
3 years ago
Alice, Bertie and Cara like to spend time outdoors. One of them is an avid
sergij07 [2.7K]

Answer:

Cara.

Step-by-step explanation:

Cara went to an Island.

8 0
3 years ago
Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)
Pani-rosa [81]

Answer:

B

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the <u>(</u><u>6</u><u>,</u><u>5</u><u>)</u><u> </u>points

in order to do so

recall that,

\displaystyle m_{ \text{perpendicular}} =   - \frac{1}{m}

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

\displaystyle m_{ \text{perpendicular}} =   - \frac{1}{2}

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

\displaystyle y -  y_{1} = m(x -  x_{1})

since we got our perpendicular m is -½, x_1=6 and y_1=5, substitute

\displaystyle y -  5 =   - \frac{1}{2} (x -  6)

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

\displaystyle y -  5 =   - \frac{1}{2} x  + 3

add 5 to both sides:

\displaystyle y  =   - \frac{1}{2} x  + 8

hence,

our answer choice is B

3 0
3 years ago
Read 2 more answers
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