All categories

3 years ago

Find the solution set. x −2 / x−9 =2

Mathematics

1 answer:

klemol [59]3 years ago

6 0

$\dfrac{x-2}{x-9} =2$

The denominator can't be equal to 0, so

$x-9\neq 0\\x\neq 9$

Now we can solve the equation

$\dfrac{x-2}{x-9} =2\\\dfrac{x-2}{x-9}=\dfrac{2x-18}{x-9} \\x-2=2x-18\\-x=-16\\x=16$

Answer: x=16

You might be interested in

Find the solution to the system:

Sliva [168]

Answer:

u = 12, v= 15

Step-by-step explanation:

Given the system of simultaneous equation:

1/6 u− 1/3 v=−3... (1)

0.2u+0.1v=3.9...(2)

Rewriting both equation as fraction

1/6 u− 1/3 v=−3

1/5 u + 1/10 v = 39/10

Multiplying equation (1) by 6 and (2) by 10 we have:

u - 2v = -18... (3)

2u + v = 39...(4)

Using elimination method, we will first multiply equation (3) by 2 and (2) by 1 to have:

2u-4v = -36 ...(5)

2u+v = 39...(6)

Subtracting (5) from (6);

-4v-v = -36-39

-5v = -75

v = -75/-5

v = 15

Substituting v = 15 into equation (3) to get u we have:

u - 2(15) = -18

u - 30 = -18

u = -18+30

u = 12

The solution to the system of simultaneous equation are u = 12 and v = 15

7 0

3 years ago

What is h(-4) for h(x) =(x-2)^2 +3x

PSYCHO15rus [73]

$(- 4 - 2)^{2} + 3( - 4) \\ = ( - 6)^{2} + ( - 12) \\ = 36 - 12 \\ = 24$
The answer is 24

7 0

3 years ago

A large western state consists of 3390 million acres of land. Approximately 92% of this land is federally owned. Find the number

Dmitry_Shevchenko [17]

Answer: 31.2

Step-by-step explanation: 100 - 92 = 8%

3390 acres ---- 100%

x acres ------ 8%

4 0

3 years ago

Here xchx solve this mate :)Thanks. 12 points smh

NikAS [45]

Answer:

1. y = (-4^3)^2

2. y= 2^4/ 6^2

4 0

3 years ago

Can someone please help me I do not understand

Readme [11.4K]

The perimeter of a figure is the distance all the way around the figure.

Area is how many units takes up the figure.

Example of perimeter: (attached)

Example of area: (attached, with squares in square)

In this case, the <em>area depends on the perimeter</em>. Count two sides of the rectangle. (Horizontal, and vertically.) Then write what the perimeter is for that. <u>Multiply</u> the two numbers and that will be your area.

Vertically, it is 11. Horizontally, it is 9. I would like you to try to see what to do next, if not, comment!

I hope this helped!

8 0

3 years ago