All categories

3 years ago

5÷x-4 - 2÷x+2 = 4÷x-4

Mathematics

1 answer:

Alborosie3 years ago

8 0

I'd suggest you begin by subtracting 4 / (x-4) from both sides. Doing that would leave you with 1 / (x-4) - 2 / (x+2) = 0.

LCD is (x-4)(x+2). Mult. all three terms by (x-4)(x+2). The resulting equation is

x+2 - 2(x-4) = 0. Then x+2 = 2x - 8 => x = 10

Subst. 10 for x in the original equation to verify that 10 is indeed a solution.

You might be interested in

Use quadratic formula solve .7x^2 - 28x - 7

beks73 [17]

Answer:

x = 2 + sqrt(5) or x = 2 - sqrt(5)

Step-by-step explanation using the quadratic formula:

Solve for x over the real numbers:

7 (x^2 - 4 x - 1) = 0

Divide both sides by 7:

x^2 - 4 x - 1 = 0

Add 1 to both sides:

x^2 - 4 x = 1

Add 4 to both sides:

x^2 - 4 x + 4 = 5

Write the left hand side as a square:

(x - 2)^2 = 5

Take the square root of both sides:

x - 2 = sqrt(5) or x - 2 = -sqrt(5)

Add 2 to both sides:

x = 2 + sqrt(5) or x - 2 = -sqrt(5)

Add 2 to both sides:

Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)

6 0

3 years ago

10. Rotate the figure shown 180° clockwise. Record the coordinates of the 3 points<br> image.

inna [77]

Answer:

$J' = (6,7)$

$K' = (6,2)$

$L'=(3,7)$

Step-by-step explanation:

From the attachment, we have:

$J = (-6,-7)$

$K = (-6,-2)$

$L = (-3,-7)$

Rotation: 180 degrees clockwise

Required

Find J', K' and L'

When a point (x, y)is rotated 180 degree clockwise, the resulting point is: (-x, -y)

So, we have:

$J' = (6,7)$

$K' = (6,2)$

$L'=(3,7)$

3 0

3 years ago

To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th

Nata [24]

the height of the house is $408ft$ .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:

Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ $Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}$

⇒ $Tan32 = \frac{y}{x}$

⇒ $y=x(Tan32 )$ ..................(1)

Also , At point B

⇒ $Tan42 = \frac{y}{x-200}$

⇒ $y=(x-200)(Tan42)$ ..............(2)

Equating both equations:

⇒ $(x-200)(Tan42) = x(Tan32)$

⇒ $x(Tan42-Tan32)=Tan42(200)$

⇒ $x=\frac{Tan42(200)}{(Tan42-Tan32)}$

⇒ $x=653ft$

Putting $x=653ft$ in $y=x(Tan32 )$ we get:

⇒ $y=x(Tan32 )$

⇒ $y=653(Tan32 )$

⇒ $y=408ft$

Therefore , the height of the house is $408ft$ .

4 0

3 years ago

Mary needs to order pizza for 18 students. Each student should get 4/7 of a pizza. How many pizzas should Mary order? How much p

Llana [10]

Answer:

11 pizzas, 5/7 left

Step-by-step explanation:

to find out how much pizza is needed, multiply 4/7 by 18 to get 72/7. round up to get 77/7 or 11 pizzas. 77/7 - 72/7= 5/7 so there will be 5/7 left over

3 0

3 years ago

Read 2 more answers

If b = the number of baseballs which algebraic expression represents the phrase below the number of baseballs minus 3 lost durin

Ilya [14]

Answer: B

Explanation: Baseballs(b) minus 3 which is b-3

3 0

3 years ago

Read 2 more answers