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]
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

You might be interested in
The graph below shows the height an elevator travels, y, in x seconds:
ad-work [718]

9514 1404 393

Answer:

  25 (ft/s)

Step-by-step explanation:

The "rate of change" is taken to mean the "rise" divided by the "run". Here, adjacent points differ in their y-value by 25 ft and their x-value by 1 second.

The rate of change is ...

  rise/run = (25 ft)/(1 second) = 25 ft/second

Usually, we're just interested in the numerical value: 25.

_____

<em>Additional comment</em>

The graph is mis-labeled. It is not showing "rate of ascent." It is showing height as a function of time. The "rate of ascent" is the <em>slope</em> of the line on the graph, not its <em>value</em>.

6 0
2 years ago
Identify the polynomial. <br><br> x 3 - y 3 + z
vekshin1
(X 3-y) (3+z)
That's the two polynomials
8 0
3 years ago
Read 2 more answers
A brownie recipe calls for 1/2 cup of flour, 1/8 cup of cocoa powder, and 3/8 cup of sugar. How many cups of dry ingredients are
natka813 [3]

1/2 x 2= 1

1/8 x 2= 1/4

3/8 x 2= 3/4

3/4 x 1/4 = 3/16

3/16 x 1 = 3/16

YOUR ANSWER IS 3/16 dry ingredients

7 0
2 years ago
Look at the figure what is the capacity of the figure, in cubic centimeters
krek1111 [17]
16*8=128 and 128*12= is 1,536
3 0
3 years ago
Please help me with correct answer
BaLLatris [955]
D. -15

All I did was plug the numbers in
4 0
3 years ago
Other questions:
  • Connections between tan theta and tan(90 + theta)
    12·1 answer
  • A line is defined by the equation. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this poi
    13·2 answers
  • Please help me!! Will give first and correct answer brainliest!!!
    8·1 answer
  • Write eighteen hundredths as a decimal.<br> P.S. dont put nothing stupid , just answer .
    9·1 answer
  • Please help me with this
    11·1 answer
  • Solve. What is the 15% of 15?
    12·2 answers
  • 2) Mass of the earth is 5976000000000000000000000 kg and that of Uranus is 86800000000000000000000000 kg , which one has greater
    6·2 answers
  • Help its said 20 words also so yeah
    15·2 answers
  • Please help! I need this correct,
    10·2 answers
  • The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!