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2 years ago

A(4,2) B(1,4) C(6,5)

Mathematics

1 answer:

vodomira [7]2 years ago

5 0

One has to derive each length (please check):

EF = sqrt( 2^2 + 2^2 ) = 2*sqrt(2)
FG =3,

So, parallelogram's perimeter is 2*EF+2*FG = 4*sqrt(2)+6=11.66

Triangle:

AB = sqrt( 2^2 + 3^2) = sqrt(13)
BC= sqrt(1^2_5^2)=sqrt(26)
AC=sqrt(2^2+3^2) = sqrt(13)

Total = 12.31

Difference Triangle - Parallelogram = 12.31-11.66 = 0.65

What about the LAST one? :P

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Please anyone help me answer this question am giving the brainliest

DochEvi [55]

Answer:

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

Step-by-step explanation:

Dont put the answer in parenthesis, I just did that to seprate it so it was easier to read. If you need it to be put in word form for it to be easier for you to understand, its "negative three divided by two x plus one, plus 3 divided by x minus 1"

First, rewrite the expression as 3x+6/2x^2+x-2x-1

Then, factor the expression, 3x+6/x*(2x+1)-(2x+1) (*=multiply)

Then, write a new fraction for each factor in the denominator, then write a new fraction, 3x+6/(2x+1)*(x-1) to (A)/2x+1 + B/x-1)

Then write terms in the numerators, for now we will use A and B.

Now we set the sum of the fractions equal to the original fraction.

3x+6/(2x+1)*(x-1) = A)/2x+1 + B/x-1).

Then reorder and group the terms, giving you 3x+6=(A+2B)x+(-A+B).

Now equate the coefficiants, {6= -A+B, 3= A+2B

Then substitute back, (A, B)=(-3, 3)

Now finally, just rewrite the fraction. (-3/2x+1) + (3/x-1)

Hope this helps! Sorry its kind of long.

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2 years ago

A square field has an area of 100 square meters. What is the length of the square? Show how you got the work please.

Goryan [66]

Answer:

The length of the square is 10 meters.

Step-by-step explanation:

First, you need to know that a square has four equal sides, and that finding the area of a square means multiplying one side by another side. This means that if you know the area of the square, all you have to do is find the square root of the area to find a side length. So, by using a calculator, you can find that the square root of 100 is 10, which is the length of one side of the square.

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2 years ago

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In 2 days, 48,000 gallons of oil

Ann [662]

Answer:

Deepwater Horizon

good movie too btw

-Hops

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2 years ago

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Cody made deposits of $45, $18 and $26 into his checking account. He then wrote checks for $21 and $93. Write and solve a numeri

Lera25 [3.4K]

$45+$18+$26-$21-$93
45+18=63
63+18=81
81+26=107
107-21=86
86-93=-7

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3 years ago

The cost of 3 notebooks and 4 pencils is $8.50. Determine the cost of one notebook and one pencil

Assoli18 [71]

Call the notebooks x, and the pencils y.
3x + 4y = $8.50 and 5x + 8y = $14.50 
Then just solve as simultaneous equations: 
3x + 4y = $8.50 
5x + 8y = $14.50 

5(3x + 4y = 8.5) 
3(5x + 8y = 14.5) 

15x + 20y = 42.5 
15x + 24y = 43.5 

Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) 

(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. 

Then substitue into equation : 
15x + 20y = 42.5 
15x + 5 + 42.5 
15x = 42.5 - 5 = 37.5 
15x = 37.5 
x = 2.5 

15x + 24y = 43.5 
15(2.5) + 24(0.25) 
37.5 + 6 = 43.5 

So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.

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2 years ago