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3 years ago

M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?

Mathematics

2 answers:

JulijaS [17]3 years ago

7 0

ccccccccccccccccccc

cccccc

VikaD [51]3 years ago

6 0

The line segment is 10 units long

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Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
$=-\dfrac1{48(x-2)}+\dfrac1{3(x+1)}+\dfrac1{16(x+2)}+\dfrac1{96}\ln|x-2|+\dfrac13\ln|x+1|-\dfrac{11}{32}\ln|x+2|+C$

5 0

3 years ago

lutik1710 [3]

Answer:

$\huge \boxed{\mathrm{804}}$

Step-by-step explanation:

$\sf The \ initial \ population \ of \ the \ town \ was \ 568.$

$\sf 236 \ migrated \ to \ the \ town.$

$568+236$

$=804$

$\sf The \ present \ population \ of \ the \ town \ is \ 804.$

5 0

3 years ago

Read 2 more answers

Louren measures the distance around her circular mirror to

Veseljchak [2.6K]

Answer:

53 cm.

Step-by-step explanation:

Circumference = pi times diameter

We are trying to find diameter so rearrange

Circumference/pi = diameter

166.5/pi = 52.998596

Approximately 53 centimeters of lace

3 0

3 years ago

Write y^2 - y^4 without exponents

True [87]

Answer:

y•y-y•y•y•y

Step-by-step explanation:

y^2 is equal to y•y and y^4 is equal to y•y•y•y.

7 0

3 years ago

HEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPP WITH ANSWER PLZZZZ

earnstyle [38]

First, find the area of each of the prisms sides

5 by 5.5 = 27.5

3 by 5.5 = 16.5

4 by 3 cut in half = 6 (theres 2 of thoses so 12)

4 by 5.5 = 22

Add up the products and the surface area is 78 units

Post brainliest if this helped :)

4 0

3 years ago