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Natali5045456 [20]
4 years ago
12

If f(x) = x + 4 and g(x) = x2-1, what is (gºf)(x)?

Mathematics
1 answer:
Bogdan [553]4 years ago
4 0

Answer:

Just plug in the numbers.

Step-by-step explanation:

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Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by find
Aliun [14]

Answer:

Multiple answers

Step-by-step explanation:

A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.

To prove that our figure is a parallelogram we first get the slope of our sides.

The formule we use to get the slope is:

m = \frac{y-y1}{x-x1}

  1. first we have the W-Z side that it's supossed to be parallel to X-Y side

if we use our formule to calculate the slope of W-Z:

\frac{6-(-2)}{-1-(-2)}  =  \frac{8}{1}  =  8

if we use our formule to calculate the slope of X-Y:

\frac{8-0}{2-1}  =  \frac{8}{1}  =  8

  • We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side

2. Then we have the W-X side that it's supossed to be parallel to Z-Y side

if we use our formule to calculate the slope of W-X:

\frac{6-8}{-1-2}  =  \frac{-2}{-3}  

if we use our formule to calculate the slope of Z-Y:

\frac{-2-0}{-2-1}  =  \frac{-2}{-3}  

  • We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side

Then we have to prove that the parallalel sides are equal length to each other.

The formule we use to get the distance between two points is:

\sqrt{(x2-x1)^{2}+(y2-y1)^{2}  }

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:

W-Z = \sqrt{(-1-(-2))^{2}+(6-(-2))^{2}  } =   \sqrt{65}

X-Y = \sqrt{(2-1)^{2}+(8-0)^{2}  } = \sqrt{65}

So the W-Z side have the same lenght to X-Y side.

We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:

W-X = \sqrt{(-1-2)^{2}+(6-8)^{2}  } =   \sqrt{13}

Z-Y = \sqrt{(-2-1)^{2}+(-2-0)^{2}  } = \sqrt{13}

So the W-X side have the same lenght to Z-Y side.

6 0
3 years ago
Gordan and Harry had 340 marble,altogether.After Gordan gave away 2/5 of his marbles and harry gave away 20 of his marbles, they
BARSIC [14]
109.8
you take 240 and subtract that from 2/5.Then you subtract 20 and that gives you 219.6.Since they have the same amount of marbles left,you have to divide 219.6 by 2 and your answer is 109.8
(I just used a calculator)
6 0
3 years ago
Katie wants to buy 27 candles. If there are 9 candles in each box, how many boxes of candles should Katie buy? * (need the answe
cricket20 [7]

Answer:

3 boxes

Step-by-step explanation:

because 3 times 9 is 27.

3 0
3 years ago
Read 2 more answers
What is 10 divided by 3?
maxonik [38]


10\div 310÷3

AVAILABLE METHODS

1

Set up the long division.


3|10

2

 

Calculate 10 ÷ 3, which is 3 with a remainder of 1.


33|1091

3

Therefore, 10 ÷ 3 = 3 with a remainder of 1.

3 \text{ with a remainder of } 13 with a remainder of 1

Done

Decimal Form: 3.333333


6 0
3 years ago
You get $707 a month how much money is that in a year
Crazy boy [7]
707 multiplied by 12 (12 months a year)
It’s 8,484
4 0
3 years ago
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