Answer:
x = 5
Step-by-step explanation:
Simplify. First, combine like terms:
3x - x + 2 = 12
(3x - x) + 2 = 12
(2x) + 2 = 12
2x + 2 = 12
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is your order of operation.
First, subtract 2 from both sides:
2x + 2 (-2) = 12 (-2)
2x = 12 - 2
2x = 10
Next, divide 2 from both sides:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
Check: Plug in 5 for x in the equation. Solve:
3(5) - (5) + 2 = 12
15 - 5 + 2 = 12
10 + 2 = 12
12 = 12 (True)
~
Answer:
The inequality is
88<x<93
Step-by-step explanation:
The average of Shondra's test scores in physics is between 88 and 93.
Let me give out the meaning of some inequality symbols
<= Less than or equal to
>= Greater than or equal to
< Less than
> Greater than
Let the average score be x
In this case , the average score is between 88 and 93
The inequality is
88<x<93
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:
Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:
The perimeter is given by:
I hope it helps you!
What are your answer choices? I’m not sure which equation they are asking for?
The solution to this system of equations is
X= -5
Y= -3
