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)
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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.)
Answer:
Step-by-step explanation:
Answer:
3+(6-2)*4=19
Step-by-step explanation:
Due to PEMDAS, it would first be required to do "6-2", which is 4.
Then, the 4 in the parenthesis is multiplied by the 4 on the outside, making 16.
Finally, 3 would be added to 16, making 19.
Answer: $28,752
Explanation:
The<u> definition of bimonthly</u> is an event that happens once in two months.
represents "two", while
represents "event that happens by month.
Given that Glenda receives a salary of <u>$4,792 bi-monthly</u>, we are required to find the earnings per year.
There are <u>12 months in each year</u>, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

Finally, we shall <u>multiply the total number with the salary</u>, which will be $4,792 times 6.

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The pool is 40 since half of the other rectangle is 50 which the 2 halfs equal 100 and we already know the top side measurement which is 40 and 2 sides of 40 equal 80 and there’s 20 left so this concludes that’s the sides are 10 and square sides are congruent to each other which concludes that’s the AREA is 40