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Vikentia [17]
3 years ago
8

Quadrilateral ABCD is reflected across the y-axis and translated 1 unit down to create quadrilateral EFGH .

Mathematics
1 answer:
serious [3.7K]3 years ago
6 0
Assuming that the answer choices read that two segments are parallel to each other than the answer is:
GH is parallel to FE
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Simplify -|-5 + 2|.<br><br> A.-7<br> B.-3<br> C.3<br> D.7
larisa86 [58]

You're answer is (B).-3.

-|-5+2|

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What is the total cost of a $150.00 necklace if the sales tax is 6.5%
LiRa [457]
The best thing to do is to find what 1% is, and you can do this by dividing 150 by 100.
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4 0
3 years ago
A rock falls off a balcony. It's height (in feet) is given by the formula f(x)=-16t^2+13.4t+120, where t is measured in seconds.
pantera1 [17]

Answer:

  3.189 seconds

Step-by-step explanation:

You want f(t) = 0, so ...

  0 = -16t^2 +13.4t +120

  0 = t^2 -0.8375t -7.5 . . . . divide by -16

  0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*

  0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square

  √7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root

  t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875

It will take the rock about 3.189 seconds to hit the ground.

_____

* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...

  (t^2 -2at +a^2) = (t -a)^2

Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.

_____

<em>Comment on the question</em>

We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...

8 0
2 years ago
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