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shusha [124]
2 years ago
14

Which shapes show equivalent fractions?

Mathematics
1 answer:
satela [25.4K]2 years ago
5 0
I need a picture so I can help you out.
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

8 0
3 years ago
if a computer can perform an addition operation in 1.5 x 10 to the power of negative 6 seconds how long will it take to perform
aksik [14]

Answer:

Step-by-step explanation:

x2 + y2 + 36 A.) y is a function of x B.) y is not a function of x

1. Evaluate the expression. (-7)²

if a computer can perform an addition operation in 1.5 x 10 to the power of negative 6 seconds how long will it take to perform 1500 such operations.​

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Find the value of the variable for the figure below. The sum of the angle measure is 360°​

add 31g+22 and -13g+17

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The graph below could be which exponential function? 20 15 10 -15 -10 -5 A. F(x) = (10)* O B. F(x) = 10(2.5)* O C. F(x) = 1(2) 10x D. F(x) =…

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Answering Streak

Your Streak is on! Answer

3 0
3 years ago
1) What is common ration of the geometric sequence 500, 200, 80, 32, ...?
IgorLugansk [536]

Answer:

D

Step-by-step explanation:

The numbers are getting divided by 2.5 each time

7 0
3 years ago
Jessica has 86 fake tattoos she kept 23 for herself and then shared the rest with 7 of her friends how many tattoos did each fri
Mama L [17]

86-23=63

63/7=9

you're welcome!

. . . . . . . .

6 0
3 years ago
Given a 10 foot length of tree trunk with a radius of 3 feet, what is the weight of the tree trunk section if it has a density o
Nutka1998 [239]

treat the tree trunk as a cylinder

v= pi x r^2 x h

using 3.14 for pi

3.14 x 3^2 x 10 = 282.6 cubic feet

282.6 * 45 =  12, 717 pounds

6 0
3 years ago
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