Answer:
The student incorrectly simplified 
.
Thus, option D is correct.
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Step-by-step explanation:
The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:
In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.
In our case, the dimensions of a rectangle are 
and 
.
Here is the student's solution:
The student made an error in calculating , because are not like terms.
Hence, can not be simplified to 
Therefore, the student incorrectly simplified .
Thus, option D is correct.
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<u>Here is the correct Solution:</u>
Answer:
<h2>8.50h + 80 ≥131</h2>
Step-by-step explanation:
The answer is not in the option
Step one:
given data:
we are told that the hourly earning= $8.50
then additional tip=$80
total earnings=$131.
Step two:
the linear function for the total earning is the same as the equation of a line
y=mx+c
where
y represents the total earning of $131
m represents the hourly earning= $8.50
x represents the number of hours h
c represents the tip of $80
The expression for the situation is modeled as
<h2>8.50h + 80 ≥131</h2>
What type of math is this, is this algebra?
Answer:
The worth of the car after 6 years is £2,134.82
Step-by-step explanation:
The amount at which Dan buys the car, PV = £2200
The rate at which the car depreciates, r = -0.5%
The car's worth, 'FV', in 6 years is given as follows;
Where;
r = The depreciation rate (negative) = -0.5%
FV = The future value of the asset
PV = The present value pf the asset = £2200
n = The number of years (depreciating) = 6
By plugging in the values, we get;
The amount the car will be worth which is its future value, FV after 6 years is FV ≈ £2,134.82 (after rounding to the nearest penny (hundredth))
Given:
Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).
To find:
Whether the parallelogram ABCD is a rhombus, rectangle or square.
Solution:
Distance formula:
Using distance formula, we get
Similarly,
All sides of parallelogram are equal.
Both diagonals are equal.
Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.
We know that, a square is special case of rectangles and rhombus.
So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.
