True or False: If I solve for the angle measure to the nearest 1/10th of a degree, the answer is 50.90

Given:

The equation is:

[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]

To find:

The value of x.

Solution:

Formulae used:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](a-b)(a+b)=a^2-b^2[/tex]

We have,

[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]

Taking LCM, we get

[tex]\dfrac{(x+1)^2-(x^2-1)^2}{(x-1)(x+1)}=\dfrac{7}{12}[/tex]

[tex]\dfrac{x^2+2x+1-(x^2-2x+1)}{x^2-1^2}=\dfrac{7}{12}[/tex]

On cross multiplication, we get

[tex]12(x^2+2x+1-x^2+2x-1)=7(x^2-1)[/tex]

[tex]12(4x)=7x^2-7[/tex]

[tex]48x=7x^2-7[/tex]

[tex]0=7x^2-48x-7[/tex]

Splitting the middle term, we get

[tex]7x^2-49x+x-7=0[/tex]

[tex]7x(x-7)+1(x-7)=0[/tex]

[tex](7x+1)(x-7)=0[/tex]

[tex]x=-\dfrac{1}{7},7[/tex]

Therefore, the values of x are [tex]-\dfrac{1}{7}[/tex] and [tex]7[/tex].

Answer:

Colton solved 9 math problems and read 18 pages.

Answer:

Step-by-step explanation:

they are opposite angles, so we put them equal to each other.

25.

6a+10= 130

6a=120    a=20   so now we plug it in 6(20) +10= 130

26.   4a-4=2a+30

      2a=34      a=17   sso now we plug in 4(17)-4= 64    2(17)+30= 64

27.    6y+1=4y+9                             2x-5=x+7

          2y=8                                      x=2

         y=4

now plug in 6(4)+1=25     4(4)+9=25     2(2)-5= -1     (2)+7=9

Answer:

do you have what x and/or y equals

Step-by-step explanation:

Answer:

400 degrees

Step-by-step explanation:

Difference

1500 - 1100 = 400 degrees difference

Answer:

Exactly 3 factors

Step-by-step explanatin

The number 1001 is a composite number because 1001 can be divided by one, by itself and at least by 7, 11 and 13. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly).

The factorization or decomposition of 1001 = 7•11•13. Notice that here, it is written in exponential form.

The prime factors of 1001 are 7, 11 and 13. It is the list of the integer's prime factors.

The number of prime factors of 1001 is 3.

Answer:

b

Step-by-step explanation:not b

Answer: it’s 20 hope this helps:)

Step-by-step explanation:

Answer

The answer is 20

Answer:

-35

Step-by-step explanation:

[tex]-5 = \frac{1}{7}a\\-35 = a[/tex]

I got this by multiplying the numerator by 7. This allows the denominator to be the same as the numerator, thus equalling 1.

1 * a = a

Answer: a = -35

Step-by-step explanation:

1. -5 = 1/7(a) || GIVEN

2. -5 * (7) = (7) * 1/7(a) || Isolate "a" on one side of the equation by multiplying 7 to the other side.

3. -35 = a

Answer:

V = (4, 4 )

Step-by-step explanation:

Use the midpoint formula, the equation corresponding coordinates to the coordinates of the midpoint M

let V = (x, y ) , W = (8, 6 ) , then

[tex]\frac{x+8}{2}[/tex] = 6 ( multiply both sides by 2 )

x + 8 = 12 ( subtract 8 from both sides )

x = 4

and

[tex]\frac{y+6}{2}[/tex] = 5 ( multiply both sides by 2 )

y + 6 = 10 ( subtract 6 from both sides )

y = 4

coordinates of V = (4, 4 )

Answer:

-12, -12

Step-by-step explanation:

Both numbers are negative, they add to -24, 2 negatives make positive (-12 x -12 = 144)

Answer: 33.75%

Step-by-step explanation:

The items were marked down by 55% from their original price.

This means that the new price is:

= 1 - Percentage marked down

= 1 - 55%

= 45% of the original.

From this 45%, additional percentage of 25% is removed from this amount. The amount left will be:

= 45% * ( 1 - 25%)

= 33.75%

Answer:

The solution is (-1/2, -2)

Step-by-step explanation:

Given 6f-4g=1,6f-6g=5, write these in columnar form:

6f-4g=1

6f-6g=5

Change all of the signs in the first equation:

-6f + 4g = -1

 6f-6g=5

-------------------

     -2g = 4, and so g = -2

Substituting -2 for g in either equation enables us to find f.  Let's use the first equation:    6f - 4(-2) = 5 yields 6f + 8 = 5, or 6f = -3

Then f = -1/2 and g = -2.  The solution is (-1/2, -2)

Answer:

250 gallons of water are being pumped out each hour

Step-by-step explanation:

It tells us that W is the amount of water in the pool at a time. It also tells us that at the start there is 9000 gallons in the pool. We also know t is the time in hours so 1 t = 1 hour.

W=9000-250t

We can substitute in what we know

The amount of water in the pool = 9000 gallons - 250 gallons times 1 hour

so that means if one hour passes 250 gallons are removed, and if 2 pass then 500 are removed showing that for every hour the pump is on 250 gallons of water are being sucked from the pool

Answer:4/5

Step-by-step explanation:

y= (1/5)x

y= 1/5 (4)

y= 4/5

Hope it's working :)

Answer:

exact form = 4/5

decimal form = 0.8

Step-by-step explanation:

Answer:

you have to simplify it first and then miltiply

Step-by-step explanation:

Answer:

no. if you do 5 divided by 20 your answer will be negative

Step-by-step explanation:

Answer:

4(120)(.225) + x (120)(.225) = $351

9 units sold on Tuesday

Step-by-step explanation:

1. You can easily figure how much money was made on Monday by multiply the total units sold by the price per unit by the commission in decimal form.  Here you get $108.

2.  Subtract that $108 from the $351 made on both days and you get $243 made on Tuesday.

3. The equation is now the unknown number of units sold (x) times the price ($120) times the commission is decimal form (.225) equals $243.

4. Since 120 times .225 is equal to 27, the equation now becomes 9x is equal to 243.

5. Divide 243 by 27 for your answer.

Answer:

-9 and 6

Step-by-step explanation:

Answer:

-9 and 6

Step-by-step explanation:

-9X6 is -54

and -9+6 is -3

Answer:

u can with math u cant with history

Step-by-step explanation:

can i has brainliest

Answer:

no you can not because the 6 doesn't have the same variable as the 2

Step-by-step explanation:

Answer:

y = 70

Step-by-step explanation:

6 x 5 = 30

14 x 5 = 70

Answer:

100.000 liters of water would b your answer.

Step-by-step explanation:

if you round 103 to the nearest hundred you answer is 100 that how i got my answer 100.000

Answer:

22 feet

Step-by-step explanation:

6+5+6+5

= 11+11

= 22

Answer:

the area of the porch is 5 times larger

Step-by-step explanation:

Area of a rectangle = length x width

Original area = 15 x 6 = 90 square feet

length of width after it was enlarged 5 times = 5 x 6 = 30

New Area = 30 x 15 = 450 square feet

change in area = 450 / 90 = 5