Answer:
Step-by-step explanation:
It is a rectangle, so both sides are equal. Thus 2x+6=5x-9
SOLVE, SUBTRACT 2x
6=3x-9 THEN ADD 9
15=3x THEN divide by 3
5=x
Plug in x to either side 2(5)+6, to get side length of 16
Then area of a rectangle is lengthxwidth=AREA
substitute what you know 16(y)=48
Divide by 16, thus y=3
Answer: 9 inches.
Do the pythagorean theorem to find your answer.
Formula: a^2 + b^2 = c2
12 = b
15 = c
a^2 + 12^2 = 15^2
Simplify the equation
a^2 + 144 = 225
Subtract 144 on both sides.
a^2 = 81
Square root of 81 is 9.
The expression for the total number of miles he drove in the two weeks is m + 153
<h3>How to determine the expression for the total number of miles he drove in the two weeks?</h3>
The given parameters are
Last week = m miles
This week = 153 miles
The expression for the total number of miles he drove in the two weeks is
Expression = Last week + This week
This gives
Expression = m + 153
Hence, the expression for the total number of miles he drove in the two weeks is m + 153
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As it is proved that the equation has no solution, Derick is correct
Step-by-step explanation:
Given
We have to solve the equation in order to check if Derick was solved the equation correctly or not.
So,
Applying distributive property first
As the variable is already cancelled in the equation there is no unique solution.
In order for an equation to have infinite solutions the constant on both sides of equation should be same which is not the case in the given equation
So,
As it is proved that the equation has no solution, Derick is correct
Keywords: Linear equations, variables
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