1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
oee [108]
3 years ago
15

Please help me solve this question!

Mathematics
1 answer:
dimaraw [331]3 years ago
5 0

Answer:

x = -3/2

Step-by-step explanation:

3 / (x − 1) − 1 / (x² − 1) = 5 / (x − 1)

Subtract 3 / (x − 1) from both sides:

-1 / (x² − 1) = 5 / (x − 1) − 3 / (x − 1)

The denominators are the same, so subtract:

-1 / (x² − 1) = 2 / (x − 1)

Cross multiply:

-1 (x − 1) = 2 (x² − 1)

Simplify and solve:

-x + 1 = 2x² − 2

0 = 2x² + x − 3

0 = (x − 1) (2x + 3)

x = -3/2 or 1

x can't be 1 (can't divide by 0), so x = -3/2.

You might be interested in
Find the probability that a randomly selected point within the circle falls in the red shaded area (square). Round to the neares
Fantom [35]

Answer:

probability of selecting the square is 63.7% approximately

Step-by-step explanation:

First of all, the probability of the point of choice is within the red square can be obtained with this formula

probability = expected outcome / total number of possible outcomes

In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.

We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.

Area of the square

Area of the square = l^2

where length = 4\sqrt{2}

Area = (4\sqrt{2}) ^2 = 32cm^2

Area of the circle

Area of the circle = \pi r^2

area of circle =\pi \times 4^2 =50.26cm^2

Probablity of selecting the square =

32/50.26 = 0.6366

To express this as a percentage, we multiply our answer by 100.

This will give us 0.6366 X 100 = 63.7% approximately

6 0
3 years ago
Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places if ne
trasher [3.6K]

Answer:

a = 32

Step-by-step explanation:

This is a right triangle and the square value of hypotenuse is equal to sum of square value of other two side lengths

68^2 = 60^2 + a^2

4624 = 3600 + a^2

4624 - 3600 = a^2

1024 = a^2 find the root for both sides

32 = a

8 0
2 years ago
The quotient of a number X and 2 is 20
Maurinko [17]
X÷2=20. Want an explanation?
6 0
3 years ago
What is measure of egf?​
BartSMP [9]

Answer:

∠EGF = 65°

Step-by-step explanation:

Since EF = EG the triangle is isosceles and the base angles are equal, that is

∠EGF = ∠GEF

∠EGF = \frac{180-50}{2} = \frac{130}{2} = 65°

7 0
3 years ago
Read 2 more answers
For questions 1 - 2, use the following functions:
natita [175]

Answer:

fx+gx=5x-11

fx-gx=x-3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help, thanks a lot
    8·1 answer
  • If ΔABC and ΔXYZ are similar, which must be true? A) BC YZ = AC YX B) BC YZ = BA XZ C) AC XZ = BC YZ D) AC XZ = BA XZ
    14·2 answers
  • Thanks for the help
    14·2 answers
  • Question 6
    11·1 answer
  • Amit’s bank charges
    10·1 answer
  • What is true of a geometric plane?
    6·1 answer
  • How would the expression x^3+64 be written using sum of cubes
    6·2 answers
  • What is the difference quotient for the function f(x) = 8/ 4x + 1
    8·1 answer
  • In a group of students, 55% a girls and 79% of the girls plays sport. What percentage of the group are girls who play sport?
    14·1 answer
  • If p is the probability of success of a binomial experiment, then the probability of failure is what?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!