1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ipn [44]
2 years ago
5

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

Mathematics
1 answer:
Sindrei [870]2 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

You might be interested in
Which answer choice represents an equivalent number sentence of "15 + (3 - 8)"?
frozen [14]

Answer:

A- 15-5 is the same

Step-by-step explanation:

15 + (3-8)

15 + (-5)

15-5

8 0
3 years ago
Read 2 more answers
An item was sold at a loss of 20%. Had it been sold for Rs 3000more then the profit would have been 10%. What is the cost price
vagabundo [1.1K]

Answer:

Cost Price = Rs 10000

Step-by-step explanation:

Assume:

Cost of the item = x

Item was sold at a loss of 20%:

Loss = 20% of x = 0.2x

Item sold = x - 0.2x = 0.8x

Item sold at a profit of 10%:

Profit = 10% of x = 0.1x

item sold = x + 0.1x = 1.1x

Solve:

Difference = 1.1x - 0.8x = 0.3x

0.3x = Rs 3000

x = Rs 3000 ÷ 0.3

x = Rs 10000

3 0
2 years ago
An Equation is shown.<br><br> 8/10 + ___ = 93/100<br><br> What is the missing fraction?
s2008m [1.1K]
The missing fraction is 13/100
3 0
3 years ago
Read 2 more answers
What is the percent equivalent of 3/2 using a pattern
olganol [36]
1/2 is 50 percent. if 3/2 is 1/2 X 3, 50 X 3  is equal to 150. 3/2 is 150 percent
6 0
3 years ago
Read 2 more answers
Using the traditional formula, a 95% CI for p1 − p2 is to be constructed based on equal sample sizes from the two populations. F
inn [45]

Answer:

49

Step-by-step explanation:

Given:

Width = 0.4

Let's take the z value of 95% which is = 1.96

Let's assume population proportion p1 and p2 = 0.5

For margin of error E, the relation between the width and margin of error is 2E.

i.e 2E = 0.4

E = 0.2

To find the sample size, n, let's use the formula :

n= \frac{z^2*(p_1(1-p_1) + p_2(1-p_2))}{E^2}

= \frac{1.96^2(0.5(1-0.5)+0.5(1-0.5))}{0.2^2}

= 48.02

≈ 49

8 0
3 years ago
Other questions:
  • How to do square routs of 8
    13·2 answers
  • If leo is 6 years old and max is 12 years, how many years would it be until max is 3 times as old as leo
    6·1 answer
  • Tell whether the equation is true or false. *<br> 3<br> 60 = 20<br> O True<br> O False
    8·1 answer
  • If someone could answer these two questions, that would be wonderful:
    6·1 answer
  • A figure in the second quadrant is reflected over the y-axis. In which quadrant will the reflected figure appear?
    15·1 answer
  • Which point is an x-intercept of the quadratic function f(x)=(x-4)(x+2)
    13·1 answer
  • The number m satisfies the relationship m&lt;0. Write an inequality expressing the relationship between -m and 0. Explain your r
    6·1 answer
  • Jorge bowled 5 games.
    8·1 answer
  • What is the circumference? Use 3.14 for π. Round to the nearest tenth if necessary.
    6·2 answers
  • Please help with this!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!