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stira [4]
3 years ago
15

Which expression is equivalent to (x^-6/x^2)^3 1/x 1/x^5 1/x^9 1/x^24

Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0

Step-by-step explanation:

1/x^24 is the correct expression

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The point A(-2, 3) is translated using T: (x,y) = (x + 4, y + 2).
Charra [1.4K]

Answer: Choice D) 2\sqrt{5}

===========================================================

Work Shown:

Point A starts at (-2,3) and moves to (2,5) after applying the translation rule of "shift 4 to the right, 2 up".

Use the distance formula to find the distance from (-2,3) to (2,5)

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-2)^2 + (3-5)^2}\\\\d = \sqrt{(-4)^2 + (-2)^2}\\\\d = \sqrt{16 + 4}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\

6 0
4 years ago
What is the length of the altitude of the equilateral triangle below?
balandron [24]

\bf \textit{height or altitude of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{length~of}{a~side}\\ \cline{1-1} s=8\sqrt{3} \end{cases}\implies h=\cfrac{8\sqrt{3}\cdot \sqrt{3}}{2}\implies h=\cfrac{8\sqrt{3^2}}{2} \\\\\\ h=4\cdot 3\implies h=12

3 0
3 years ago
A circle has a radius of 30 cm.
topjm [15]
It would be 60 because all you do is double the radius because it is only half of the circle
4 0
3 years ago
Read 2 more answers
What is the area of the figure below?
Scorpion4ik [409]

Answer:

rectangle: 30 in^2

triangle:  12 in^2

composite: 42 in^2

Step-by-step explanation:

area of a rectangle: length times width

area of a triangle: \frac{AB}{2}

composite area: break the area up by shapes you can find the area of, then add it back together

3 0
3 years ago
Adam plans to choose a video game from a section of the store where everything is 75%
Minchanka [31]

Answer:

Look below

Step-by-step explanation:

In Adam's expression, d represents the original price of the game. 0.75d represents 75% of the original price; this is the amount of the discount, since everything is 75% off.  Taking the difference of the original price and the discount, d-0.75d, gives us the total price of the game. In Rena's expression, 0.25 represents 25%.  This is because taking 75% off of the price means we still pay 100-75 = 25% of the original price. Multiplying the original price, d, by the 0.25, gives us 25% of the original price; this is the total price.

6 0
3 years ago
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