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ipn [44]
3 years ago
5

Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12.​

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Answer:

Consider the equation 3x + 2y = 12

Now, square both sides:

(3x + 2y)^2 = 122

=> 9x^2 + 12xy + 4y^2 = 144

=>9x^2 + 4y^2 = 144 – 12xy

From the questions, xy = 6

So,

9x^2 + 4y^2 = 144 – 72

Thus, the value of 9x^2 + 4y^2 = 72

Answered by GAUTHMATH

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Which two rooms have an
alexgriva [62]

Answer: room 101 and room 107

Step-by-step explanation:

In room 101, the ratio of boys to girls is 16:12. This is further simplified to its lowest fraction by dividing by 4. It becomes 4:3

In room 104, the ratio of boys to girls is 20:9. This cannot be further simplified to its lowest fraction.

In room 107, the ratio of boys to girls is 12:9. This is further simplified to its lowest fraction by dividing by 3. It becomes 4:3

Therefore, room 101 and room 107 have the same ratio.

4 0
3 years ago
I need help ASEP please help me
Arisa [49]

Answer:

5

Step-by-step explanation:

it is 5 because you do 1+4=5

6 0
3 years ago
Which of the following equations is NOT an example of inverse variation?
astraxan [27]
Your answer is going to be f
5 0
3 years ago
Find the slope of the line given two points:
vesna_86 [32]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8, 10) and (-7, 14)

The slope is

m =  \frac{14 - 10}{ - 7 - 8}  =  \frac{4}{ - 15}  =  -  \frac{4}{15}  \\

We have the final answer as

-  \frac{4}{15}  \\

Hope this helps you

4 0
3 years ago
Level B
Darya [45]
The number has 2 digits - let's call them x and y. The positive difference between the two combinations (lowest-highest and highest-lowest) is always equal to the positive difference of x and y, multiplied by 9.

For example:

76 and 67: 76 - 67 = 9 and ((7-6)*9) = 1*9 = 9
73 and 37: 73 - 37 = 36 and ((7-3)*9) = 4*9 = 36
5 0
3 years ago
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