All categories

3 years ago

How do I do this? Please explain in detail.

Mathematics

2 answers:

umka2103 [35]3 years ago

8 0

22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4

Neporo4naja [7]3 years ago

7 0

Https://us-static.z-dn.net/files/d39/8be32892e96d7954b568343588bbf6c2.jpeg

You might be interested in

Brianna earned $28,000 last year. If the first $20,000 is taxed at 10% and income above that is taxed at 13%, how much does Bria

DiKsa [7]

Answer:

3,040$

Step-by-step explanation:

20k*.1=2,000

8k*.13=1,040

2,000+1,040=3,040

I am so sorry if I'm wrong.

4 0

3 years ago

Read 2 more answers

Mike thought of a number. He added to it to two other numbers. One of these numbers was 12 less than his number, the other was 1

Inessa [10]

Answer:

number 1 + number 2 + number 3 = 15

Number 1 = x + 12

Number 2 = x - 12

Number 3 = x

(x + 12) + (x - 12) + x = 15

x + 12 + x - 12 + x = 15

x + x + x +12 -12 = 15

3x = 15

x = 15/3 = 5

Check:

Number 1 = 17

Number 2 = 5 -12 = -7

Number = 5

number 1 + number 2 + number 3 = 15

17 + (-7) + 5 = 15

10 + 5 = 15

15 = 15

Answer is 5

Step-by-step explanation:

5 0

3 years ago

What is the value of hin the figure below? In this diagram, ABAD ~ ACBD.

VashaNatasha [74]

Answer:

F. 8

Step-by-step explanation:

The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.

BD/DE = AD/BD

h/4 = 16/h

h^2 = 64 . . . . . . . multiply by 4h

h = 8 . . . . . . . . . . take the square root (matches selection F)

_____

Comment on this geometry

BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:

BC = √(AC·DC)

BA = √(AC·AD)

8 0

3 years ago

Can u pls help me with this thanks

aleksandrvk [35]

Hey!!!

<a and <b are complementary angles.

Those angles which are exactly 90 degree are called complementary angles.

hope it helps..

7 0

3 years ago

Midpoint segment plaese help shcolor in training

Paladinen [302]

Same as any other midpoint of line segment or two points, it is the average of the two points x and y coordinates...

mp=((x1+x2)/2, (y1+y2)/2)

mp=((-6+16)/2, (-9+5)/2)

mp=(10/2, -4/2)

mp=(5, -2)

5 0

3 years ago

Read 2 more answers