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
Eva8 [605]
3 years ago
6

How do I solve this?​

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer:

x = \dfrac{6 - a}{a + 3}

Step-by-step explanation:

\dfrac{3x - 2}{a^2 - 2a} + \dfrac{x - 1}{a - 2} + \dfrac{2}{a} = 0

Factor all denominators.

\dfrac{3x - 2}{a(a - 2)} + \dfrac{x - 1}{a - 2} + \dfrac{2}{a} = 0

There are 3 denominators: a(a - 2), a - 2, and a.

The LCD is a(a - 2).

Multiply both sides of the equation by the LCD.

a(a - 2)[\dfrac{3x - 2}{a(a - 2)} + \dfrac{x - 1}{a - 2} + \dfrac{2}{a}] = 0 \times a(a - 2)

a(a - 2) \times \dfrac{3x - 2}{a(a - 2)} + a(a - 2) \times \dfrac{x - 1}{a - 2} + a(a - 2) \times \dfrac{2}{a}] = 0

3x - 2 + a(x - 1) + 2(a - 2) = 0

3x - 2 + ax - a + 2a - 4 = 0

3x + ax + a - 6 = 0

x(a + 3) = 6 - a

x = \dfrac{6 - a}{a + 3}

You might be interested in
Which equation represents a line parallel to<br> the line y = 3x - 2?
Vera_Pavlovna [14]

Answer:

y=3x+2

Step-by-step explanation:

-2's opposite is positive and the rate of change (slope) is constant

4 0
3 years ago
Anna baked
Hitman42 [59]

Answer:

expression for cookies  Anna have 3c- 8

Step-by-step explanation:

Given:

Number of cookie batches Anna baked = 2

Number of cookies in each batch = c

Number of cookies Anna ate  = 8

To Find:

An expression representing the number of cookies left with Anna

Solution:

Let the expression representing the number of cookies left with Anna be y

First let us find the total number of cookies Anna baked

She baked 3 batches of cookies and each batch had c cookies in it

So,

Total number of cookies Anna baked =  number batches X Number of cookies in each batch

=>3 \times c

=> 3c

Now Anna ate 8 from 3c cookies, so she will be left with

=>3c-8 cookies

So , y = 3c- 8

5 0
4 years ago
Answer the two questions:
lesya [120]
Number one: A B D E
number two:C
if any of these are wrong let me know ;) thank you
4 0
3 years ago
Read 2 more answers
Sarah tried to evaluate 21 / 7 * 8 step by step.​
vladimir2022 [97]

Answer:

24.

Step-by-step explanation:

First, use the Order of Operations:

PEMDAS.

First, divide, then multiply to get your solution.

21 / 7 = 3.

3 · 8 = 24.

Therefore, your answer is 24.

4 0
4 years ago
What is the peremeter of this polygon? (With picture)
lyudmila [28]
Check the picture below.

so.. simply, use the distance formula, to get their length an add them up, and that's the perimeter of the polygon.


\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;&({{ -1}}\quad ,&{{ 2}})\quad &#10;%  (c,d)&#10;&({{ 2}}\quad ,&{{ 4}})\\&#10;&({{ 2}}\quad ,&{{ 4}})\quad &#10;%  (c,d)&#10;&({{ 3}}\quad ,&{{ -2}})\\&#10;&({{ 3}}\quad ,&{{ -2}})\quad &#10;%  (c,d)&#10;&({{ -2}}\quad ,&{{ -3}})\\&#10;&({{ -2}}\quad ,&{{ -3}})\quad &#10;%  (c,d)&#10;&({{ -1}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}

\bf -------------------------------\\\\&#10;d=\sqrt{[2-(-1)]^2+(4-2)^2}\implies d=\sqrt{(2+1)^2+(2)^2}&#10;\\\\\\&#10;d=\sqrt{3^2+2^2}\implies \boxed{d=\sqrt{13}}\\\\&#10;-------------------------------\\\\&#10;d=\sqrt{(3-2)^2+(-2-4)^2}\implies d=\sqrt{1^2+(-6)^2}\implies \boxed{d=\sqrt{37}}\\\\&#10;-------------------------------\\\\&#10;d=\sqrt{(-2-3)^2+[-3-(-2)]^2}\implies d=\sqrt{(-5)^2+(-3+2)^2}&#10;\\\\\\&#10;d=\sqrt{(-5)^2+(-1)^2}\implies \boxed{d=\sqrt{26}}

\\\\&#10;-------------------------------\\\\&#10;d=\sqrt{[-1-(-2)]^2+[2-(-3)]^2}\implies d=\sqrt{(-1+2)^2+(2+3)^2}&#10;\\\\\\&#10;d=\sqrt{(1)^2+(5)^2}\implies \boxed{d=\sqrt{26}}

so, those are their lengths, sum them all up, that's the polygon's perimeter.

4 0
4 years ago
Other questions:
  • How much would it cost to buy 100 shares in ODX group Inc and 300 shares
    8·1 answer
  • When purchased, the height of a Japanese maple sapling is 14 inches. The tree is expected to grow 2.5 inches each month. Which f
    15·1 answer
  • If a cow weighs 300 pounds how many would 6000 cows weigh
    12·1 answer
  • An equation is shown below 9 parentheses 3x minus 16 parentheses + 15 equals 6x - 24
    12·2 answers
  • Someone help me please I can’t solve this
    8·1 answer
  • What is the solution to the system?<br> A. (2,-6)<br> B. (6,-2)<br> C. (3,-1)<br> D. No solution
    11·2 answers
  • Tony Stark had 484 Iron Man suits. He wanted to divide them into groups of 22. How many groups of Iron Man suits were there?
    8·1 answer
  • Find the product (6x+5)^2
    5·1 answer
  • Determine the intercepts of the line -6+3y=-7
    13·1 answer
  • Can someone help meee
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!