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Inessa05 [86]
3 years ago
8

If a+2b/a-b =2/3 then b/a=?​

Mathematics
2 answers:
Dominik [7]3 years ago
6 0

Answer:

\frac{b}{a} = - \frac{1}{8}

Step-by-step explanation:

Given

\frac{a+2b}{a-b} = \frac{2}{3} ( cross- multiply )

2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )

2a - 2b = 3a + 6b ( subtract 3a from both sides )

- a - 2b = 6b ( add 2b to both sides )

- a = 8b ( divide both sides by 8 )

- \frac{1}{8} a = b ( divide both sides by a )

- \frac{1}{8} = \frac{b}{a}

gizmo_the_mogwai [7]3 years ago
6 0

Answer:

-1/8

Step-by-step explanation:

a+2b=2

a-b=3

Solve Simultaneous equations by Formula 1 - Formula 2

2b - (-b) = 2-3

3b = -1

b= -1/3

b= -1/3

so: a - (-1/3) = 3

a = 8/3

b/a=

(8/3) / (-1/3)

= (8/3) * (3/-1)

simplify

=-1/8

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The shorter leg of a right triangle is 14 feet less than the other leg. Find the length of the two legs of the hypotenuse is 25
irakobra [83]

Answer:

  9.233 ft, 23.233 ft

Step-by-step explanation:

If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...

  x^2 + (x +14)^2 = 25^2

  2x^2 +28x +196 = 625

  x^2 +14x = 214.5

  x^2 +14x +49 = 263.5

  (x +7)^2 = 263.5

  x = -7 +√263.5 ≈ 9.23268

The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.

6 0
3 years ago
Read 2 more answers
Select the two binomials that are factors of this trinomial x^20 - x - 20
Mashcka [7]

Answer:

(x-5)(x+4)

Step-by-step explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to -20 and add to -1 for a and b.

20: 1, 2, 4, 5, 10, 20

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x^2-x-20 = (x-5)(x+4)

8 0
3 years ago
A shipping crate is shaped like a rectangular prism. It is 5 1/2 feet long by 3 feet wide by 3 feet high. What is the volume of
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6 0
3 years ago
Please help!!
kherson [118]

Answer:

Negative correlation

Step-by-step explanation:

7 0
3 years ago
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Need help I got 23,294 as the answer but it’s not an option please explain how you got the answer.
OLEGan [10]

Answer:

A

Step-by-step explanation:

Calculation seems correct to me, with d the distance and h the height of the plane, and i got the same value. Closest value is A tho, so i'd stick with it.

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8 0
3 years ago
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