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inessss [21]
2 years ago
14

Consider the equation

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
5 0

The solution to the original equation is 1, 1/6

<h3>Solving equation</h3>

Equations are expressions separated by mathematical operations.

Given the equation below

x/x − 1 = 6x + 1/x − 1

From the given expression, the least common denominator is x -1

Multiply both sides by x-1 to have;

x = 6x(x-1) +1

Expand

x = 6x^2-6x + 1

Equate to zero

6x^2-6x-x + 1 = 0

6x^2-7x +1= 0

The resulting quadratic equation in general form is 6x^2-7x +1 = 0

Factorize

6x^2 -6x-x + 1 = 0

Group the result

6x(x-1)-1(x-1) = 0

(6x-1)(x-1) = 0

6x - 1 = 0 and x -1 = 0

x = 1 and 1/6

Hence the solution to the original equation is 1, 1/6

Learn more on equation here: brainly.com/question/13763238

#SPJ1

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NEED HELP ASAP, WILL GIVE BRAINLIEST
Stella [2.4K]

Given:

The equation of circle is

(x+3)^2+y^2=9

To find:

The polar form of given circle.

Solution:

We have,

(x+3)^2+y^2=9

x^2+2(x)(3)+(3)^2+y^2=9        [\because (a+b)^2=a^2+2ab+b^2]

(x^2+y^2)+6x+9=9

Subtracting 9 from both sides, we get

(x^2+y^2)+6x=0

We know that, x^2+y^2=r^2 and x=r\cos \theta.

r^2+6(r\cos \theta)=0

r(r+6\cos \theta)=0

r=0 and r+6\cos \theta=0

We know that, r is radius it cannot be 0. So,

r+6\cos \theta=0

r=-6\cos \theta

Therefore, the correct option is A.

4 0
3 years ago
A rectangle has a area of 25 squares centimeters and a length of 10 centimeters what is the width of the rectangle ?
svet-max [94.6K]
Area = Length x  width so you would divide 25 by ten to get 2.5 then you double check by multiplying 2.5x 10 an you get 25 so its 2.5.
3 0
3 years ago
Find the dimensions of a rectangle, length 7m less than three times the width and the area of the rectangle is 66m^2.
zhuklara [117]

  We know: length of a rectangle is 7m less than three times the width.

So let's set the length to l, width to w.

And we can get that l = 3w-7.

We also know that the area of the rectangle is 66 m^2.

Thus, l*w= 66.

So we have:

function 1: l=3w-7

function 2: l*w=66

plug function 1 to 2.

(3w-7)*w=66

3w^2-7w-66=0

w=6 and -11/3.

And the width of a rectangle can not be negative.

So: w=6.

Plug w=6 back to function 1 or 2, either way is correct and can give you the length. In this case, I will plug it back to function 1.

l=3*6-7=11.

So: the width of the rectangle is 6, and the length of the rectangle is 11.


5 0
3 years ago
Weite the number names <br> 31,19,624<br> 4,06,85,012<br> 6,500,000<br> 25,430,756
borishaifa [10]

Answer:

Thirty-one million, six hundred and twenty-four

Four billion, six million, eighty-five thousand, and twelve

six million five hundred thousad

twenty-five million, four hundred and thirty thousand and seven hundred and fifty-six

Step-by-step explanation:

6 0
3 years ago
Of the service calls Mike revives, 40% are for air conditioners and 1/5 are for heaters. What percent represents the amount of a
mart [117]
40% represents the other.

8 0
4 years ago
Read 2 more answers
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