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Nonamiya [84]
3 years ago
6

Which polynomial identity will prove that 49-4=45

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0
Consider the polynomial identity (difference of squares):
(x+y)(x-y) = x² - y²

Set x =7 and y = 2 to obtain
(7+2)*(7-2) = 7² - 2²
9*5 = 49 - 4
45 = 49 - 4
This is the result required, obtained by using difference of squares.

Answer: Difference of squares.
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Amia has $300 to plan a trip with her cousins. She wants to go to Orlando, Florida and it costs $127 for a room, $75 for gas rou
zhuklara [117]
First let's add the room cost and the gas.

127+75= 202

Let's subtract that from 300.

300-202= 98

Divide 98 by 20.

20 can only go into 98 4 times. 

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I hope this helped you.

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3 years ago
How many terms are there in the sequence 1, 8, 28, 56, ..., 1 ?
BabaBlast [244]

Answer:

9 terms

Step-by-step explanation:

Given:  

1, 8, 28, 56, ..., 1

Required

Determine the number of sequence

To determine the number of sequence, we need to understand how the sequence are generated

The sequence are generated using

\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}

Where n = 8 and r = 0,1....8

When r = 0

\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1

When r = 1

\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8

When r = 2

\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8

When r = 3

\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56

When r = 4

\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70

When r = 5

\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56

When r = 6

\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28

When r = 7

\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8

When r = 8

\left[\begin{array}{c}8&&8\end{array}\right] = \frac{8!}{(8-8)!8!} = \frac{8!}{8!0!} = 1

The full sequence is: 1,8,28,56,70,56,28,8,1

And the number of terms is 9

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3 years ago
Find the area to 5 cm and 9 cm
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Answer:

\large\boxed{A=45\ cm^2}

Step-by-step explanation:

It's a parallelogram.

The formula of an area of a parallelogram:

A=bh

b - base

h - height

We have b = 9cm and h = 5cm. Substitute:

A=(9)(5)=45\ cm^2

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3 years ago
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Answer:

50.40

Step-by-step explanation:

7 hours and 20 minutes times 7= 50 hours and 40 minutes

And then you have to change it into a mixed number and it is 50.40

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3 years ago
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I would say World Health Organization because that is for the world and Sally dreams of <u>going to medical school and giving quality medical care to people who live in countries in crisis.</u>

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