The length of a rectangle is 5 less than twice the width, and the area of the rectangle is 52 ft^2. Find the dimensions of the r
1 answer:
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Answer:
6.5 ft wide by 8 ft long
Step-by-step explanation:
We can let x represent the width of the rectangle. Then the length is ...
L = 2x -5
and the area is ...
A = LW = (2x -5)(x) = 52
2x² -5x -52 = 0 . . . . . put in standard form
(2x -13)(x +4) = 0 . . . . factor
x = 6.5, -4 . . . . . . . . . . values that make the factors zero
The length is then ...
L = A/W = 52/6.5 = 8
or
L = 2W -5 = 2(6.5) -5 = 13 -5 = 8
The rectangle is 6.5 feet wide and 8 feet long.
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Answer:
A.
Step-by-step explanation:
We have that, ΔABC is transformed to get ΔA''B''C''.
We see that the following transformations are applied:
1. Reflection across x-axis i.e. flipped across x-axis.
Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.
2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.
So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.
Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.