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kifflom [539]
3 years ago
10

If x and y are two positive real numbers such that x 2 +4y 2 =17 and xy =2, then find the value of x- 2y. a. 3 b. 4 c. 8 d. 9

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0

Answer: The value of x- 2y is a. \pm 3.

Step-by-step explanation:

Given:  x and y are two positive real numbers such that x^2+4y^2=17   and xy= 2 .

Consider (x-2y)^2=x^2-2(x)(2y)+(2y)^2\ \ \ [(a+b)^2=(a^2-2ab+b^2)]

=x^2-4xy+4y^2

=x^2+4y^2-4(xy)

Put  x^2+4y^2=17   and xy= 2 , we get

(x-2y)^2=17-4(2)=17-8=9

\Rightarrow\ (x-2y)^2=9

Taking square root on both sides , we get'

x-2y= \pm3

Hence, the value of x- 2y is a. \pm 3.

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how many ounces of a 24% alcohol solution and a 29% alcohol solution must be combined to obtain 90 ounces of a 25% solution
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3 years ago
Which statements about 12 ÷ 7 are true? Use the array to answer the question. Check all that apply.
AURORKA [14]

Answer:

The remainder is 5

Step-by-step explanation:

12 Divided by 7 equals 12 over 7 or 1.714285. 7 can only go into 12, one time. if we subtract 7 from 12 we get 5 which is the remainder. There is no way it can be 2 because 7 plus 2 equals 9. 1 x 7 + 5 equals 12 which isn't 1.714285. 2 x 7 + 4 equals 18 which also isn't 1.714285. Same with 2 x 5 + 5. That equals 15 which isn't 1.714285.

5 0
3 years ago
10
MissTica

The graph of the inequality will be B. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

<h3>How to get the graph?</h3>

It can be deduced that the coordinates satisfy the equation of the line.

3y = 2x - 12

Divide through by 3.

y = 2/3x - 4.

The slope is 2/3.

In conclusion, the correct option is B.

Learn more about inequalities on:

brainly.com/question/14074138

#SPJ1

5 0
2 years ago
I need percentage, fraction, decimal That are equivalent asapppp
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Answer:

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1/8 = 0.125

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hope this helped.. brainliest??

6 0
3 years ago
Read 2 more answers
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