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2 years ago

DON'T FORGET TO SIMPLIFY PLSSS!!!!!!

Mathematics

1 answer:

Bad White [126]2 years ago

5 0

Answer:

16692162

Step-by-step explanation:

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

6 0

2 years ago

Read 2 more answers

2. Find the area and circumference of the circle to the right.<br>16.6 m<br>

adoni [48]

Answer:

AREA:

$A=216.42m^2$

CIRCUMFERENCE:

$C=52.15m$

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

$A=\pi r^2$

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

$C=2\pi r$

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

$r=\frac{16.6m}{2}=8.3m$

Substituting the radius, you get that the area and the circumference are:

AREA:

$A=\pi (8.3m)^2=216.42m^2$

CIRCUMFERENCE:

$C=2\pi (8.3m)=52.15m$

7 0

3 years ago

Read 2 more answers

the ratio of the number of skiers who bought passes to the number of snowboaders who bought season passes is 1:2 . if 1250 more

viva [34]

If a ratio of skiers and snumboarders is 1:2, and if there are 1250 snowboarders more than skiers, it means that is that there 2500 snowboarders and 1250 skiers.

How to check it? 2500 is 1250 more than 1250 and the ratio is still 1:2 (there are two times more snowboarders than skiers). Both conditions are fulfiled, so it's correct.

3 0

2 years ago

12598 round to the nearest thousand

MakcuM [25]

12598 rounded to the nearest thousands is 1260

5 0

3 years ago

Read 2 more answers

Solve the inequality 6.2n < 2n + 8.4

Degger [83]

Answer:

n<2

Step-by-step explanation:

6.2n<2n+8.4

Move variable to the left hand side and change its sign

6.2n - 2n < 8.4

Combine like terms

4.2n < 8.4

divide both side by 4.2

n < 2

6 0

2 years ago