All categories

2 years ago

If y^2-x^2=5(y-x)^2 find x:y

Mathematics

1 answer:

andrezito [222]2 years ago

6 0

Answer:

x:y = 1:1 or 2:3

Step-by-step explanation:

By a difference of squares, we get:

(y+x)(y-x)=5(y-x)^2

move all to one side:

(y+x)(y-x) - 5(y-x)^2 = 0

take a common factor of (y - x) out and expand and simply the other factor:

(y - x)[y+x-5(y-x)] = 0

(y - x)(-4y + 6x) = 0

By the null factor rule:

x = y

=> x:y = 1:1

6x = 4y

x:y = 4:6

x:y = 2:3

You might be interested in

Free 100 points please mark brainlist

otez555 [7]

Answer:

Thank you have a nice day:)

4 0

3 years ago

Read 2 more answers

What is a set of three numbers that have a gcf of 13?

ipn [44]

There are an infinite number of correct answers to that question.
Here are 5 answers ... one for each point:

13, 26, 39

13, 39, 52

13, 39, 130

65, 91, 117

39, 169, 299

4 0

3 years ago

Help me if you don't know, don't touch it please

kobusy [5.1K]

To find the volume of a cone,
multiply 1/3 of it’s base times it’s height.
1/3 of 8 = 2.7
2.7 x 8 = 21.6 cubic yards

8 0

3 years ago

Match the sentences below to the correct vocabulary word.

elena-s [515]

Answer:

1) terminating decimal

2) 0.7 is a terminating decimal

3) a non-terminating, non-repeating decimal

4) a rational number

Step-by-step explanation:

5 0

3 years ago

Baseball games consist of nine innings. A team wants to change its line-up every inning. If no game goes to extra innings, and a

pashok25 [27]

Answer:399

Step-by-step explanation:

Given

baseball consist of Nine innings and there are 9 different Positions in baseball thus there are total of 9! ways in which a line can be formed

but in a single game there are 9 innings so there are $\frac{9!}{9}=8!$

and there are 101 games in single season so total no of season a team can play without repeating the same line-up

$\frac{8!}{101}=399.20\approx 399$

so a team can play a total of 399 season with different line up in every game.

6 0

3 years ago