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3 years ago

Resolve 3x-1÷(x+1)^2 into partial fraction

Mathematics

1 answer:

garri49 [273]3 years ago

4 0

9514 1404 393

Answer:

3/(x +1) -4/(x +1)^2

Step-by-step explanation:

The partial fraction expansion will be of the form ...

A/(x+1)^2 +B/(x+1)

We can find the values of A and B by writing the sum of these terms:

= (A +B(x +1))/(x +1)^2

Then we require ...

B = 3

A +B = -1 ⇒ A = -4

So, the desired expansion is ...

3/(x +1) -4/(x +1)^2

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If G is the centroid of triangle ACE, AG = 26, BC = 44, DG = 12, find each missing measure

hram777 [196]

Answer:

Part a) $G.F=13\ units$

Part b) $A.F=39\ units$

Part c) $F.C=22\ units$

Part d) $G.B=24\ units$

Part e) $D.B=36\ units$

Step-by-step explanation:

we know that

The centroid of a triangle is the point where the three median.s coincide.

The centroid is located two thirds of the distance from any vertex of the triangle.

step 1

Find the value of A.F.

we know that

$A.G=\frac{2}{3} A.F$

we have

$A.G=26\ units$

substitute

$26=\frac{2}{3} A.F$

Solve for A.F.

$A.F=26(3)/2$

$A.F=39\ units$

step 2

Find the value of G.F.

$G.F=\frac{1}{3} A.F$

substitute the value of A.F

$G.F=\frac{1}{3} (39)=13\ units$

step 3

Find the value of F.C.

Remember that a median of a triangle is a line segment from one vertex to the mid-point on the opposite side of the triangle

$F.C=\frac{1}{2}B.C$

we have

$B.C=44\ units$

substitute

$F.C=\frac{1}{2}(44)$

$F.C=22\ units$

step 4

Find the value of D.B.

$D.G=\frac{1}{3} D.B$

we have

$D.G=12\ units$

substitute

$12=\frac{1}{3} D.B$

$D.B=12(3)=36\ units$

step 5

Find the value of G.B

$G.B=\frac{2}{3} D.B$

substitute the value of D.B.

$G.B=\frac{2}{3} (36)$

$G.B=24\ units$

7 0

4 years ago

The diagram shows a triangle ABC 2.5 cm 4.6 cm work out the are of the triangle

Paladinen [302]

Answer:

Idk I need the answer too

Step-by-step explanation:

8 0

4 years ago

During the spring you do yard cleanup for households and you also paint houses you earn $8 an hour cleaning up and $12 an hour p

Andre45 [30]

Answer: you spent 250 hours during your cleanup.

you spent 150 hours painting

Step-by-step explanation:

Let x represent the number of hours that you spent during your cleanup.

Let y represent the number of hours that you spent painting.

you earn $8 an hour cleaning up and $12 an hour painting last summer and you earned $3800 . it means that

8x + 12y = 3800- - - - - - - - - -- 1

You worked a total of 400 hours. This means that

x + y = 400

Substituting x = 400 - y into equation 1, it becomes

8(400 - y) + 12y = 3800

3200 - 8y + 12y = 3800

- 8y + 12y = 3800 - 3200

4y = 600

y = 600/4 = 150 hours

Substituting y = 150 into x = 400 - y, it becomes

x = 400 - 150

x = 250 hours

5 0

3 years ago

The point (-3,-1) lies in the quadrant: A.

xenn [34]

Answer:

$\displaystyle QUADRANT\:III$

Step-by-step explanation:

$\displaystyle [POSITIVE, NEGATIVE] → QUADRANT\:IIII \\ [NEGATIVE, NEGATIVE] → QUADRANT\:III \\ [NEGATIVE, POSITIVE] → QUADRANT\:II \\ [POSITIVE, POSITIVE] → QUADRANT\:I$

I am joyous to assist you at any time.

3 0

3 years ago

Find the root(s) of the equation x2 = 1212

fredd [130]

Answer:

Step-by-step explanation:

it's the answer so in conclusion it's the answer

4 0

3 years ago

Resolve 3x-1÷(x+1)^2 into partial fraction​

Resolve 3x-1÷(x+1)^2 into partial fraction