-3y + 4 + 5y = 2(y - 1)
2y + 4 = 2(y-1)
2y + 4 = 2y - 2
2y = 2y + 2
0
2
So this function has no answer
2y + 4 = 2(y-1)
2y + 4 = 2y - 2
2y = 2y + 2
0
So this function has no answer
A tile expert is creating a design for a bathroom floor. He needs 6-sided
1 answer:
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Answer:
5. (x, y) ⇒ (-x, y) — see attached for the diagram
6. (x, y) ⇒ (x+3, y+5)
7. dilation
Step-by-step explanation:
5. A point reflected across the y-axis will have the same y-value, but the opposite x-value. The transformation rule is ...
(x, y) ⇒ (-x, y)
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6. A horizontal translation by "h" adds the value "h" to every x-coordinate. A vertical translation by "k" adds the value "k" to every y-coordinate. Then a translation by (h, k) will give rise to the rule ...
(x, y) ⇒ (x+h, y+k)
Your translation right 3 and up 5 will give the rule
(x, y) ⇒ (x+3, y+5)
___
7. Any translation, rotation, or reflection is a "rigid" transformation that preserves all lengths and angles. Hence the transformed figure is congruent to the original.
When a figure is dilated, its dimensions change. It is no longer congruent to the original. (If the dilation is the same in x- and y-directions, then the figures are <em>similar</em>, but not congruent.)
The length of material needed for the border is the perimeter of the backyard play area
<h3>How to calculate the length of material needed </h3>The area of the play area is given as:
The area of a trapezoid is calculated using:
Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.
The given parameter is not enough to solve the length of material needed.
So, we make use of the following assumed values.
Assume that the parallel sides are: 25 feet and 31 feet long, respectively.
While the other sides are 10.2 feet and 8.2 feet
The length of material needed would be the sum of the above lengths.
So, we have:
Using the assumed values, the length of material needed for the border is 74.4 feet
Read more about perimeters at: