If $3x+2y =12$ and $xy=6$ , then find the value of $9x^(2) + 4y^(2)$

Answers

Answer 1

Answer: xy=6
x=6/y......1
3x+2y=12
from1
3*(6/y)+2y=12
{after solving}2y^2-12y+18=0
y^2-6y+9=0 {taking y common}
y^2-3y-3y+9=0
y(y-3)-3(y-3)=0
y=3,3............2
putting 2 in 1
x=2.........3

9x^2+4y^2=
from 2 and 3
9*4+4*9=36+36=72

Answer 2

Answer: $3x+2y=12\n (3x+2y)^2=144\n 9x^2+12xy+4y^2=144\n\n 9x^2+4y^2=144-12xy\n 9x^2+4y^2=144-12\cdot6\n 9x^2+4y^2=144-72\n \boxed{9x^2+4y^2=72}$

Related Questions

Chin bought 12 pounds of apples for $6 at this rate how much will is cost to buy 3 pounds of apples
Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left. (16 – 5) + (12 – 11) Which expression correctly uses the additive inverse and properties of operations to show the same value? (–16 + –12) + (–5 + –11) 16 + (–5 ) – 12 + (–11) 16 + 12 + (11 – 5) (16 + 12) + (–5 + –11)
30 miles in 5 hours.. What is the rate? What is the unit rate? What is the mph ?
Evaluate sinA for the triangle shown
Alexia started babysitting when she was in high school. She has built a reputation for herself and has become popular among the neighborhood parents. Alexia charges $10/h and gets a $5 automatic tip. Alexia needs $75 to buy a present for her mother. She wants to find out the minimum number of hours she needs to babysit at one job to get the money she needs. (5 points)a. Write an inequality to show how to solve this problem. Identify what the variable is and what it represents.b. Solve the inequality to find out the minimum number of hours Alexia needs to babysit. Show your work.

a typical tip in a restaurant is 15% of the total bill. if the bill is $150 what would the typical tip be

Answers

the tip would be 22.5 and to check multiply 150 by .15 which equals 15%

Answer:

Step-by-step explanation:

Finds the solutions to x^2=20

Answers

Solution of an equation $x^(2) =20$ is $x= \pm 2√(5)$ .

What is solution of an equation?

The solution of an equation is the array of all values that, when replaced for unknowns, make an equation true.

Given

$x^(2) =20$

$x=√(20)$

$x=√(4 * 5 )$

$x=\sqrt{2^(2) * 5}$

$x= \pm 2√(5)$

Solution of an equation $x^(2) =20$ is $x= \pm 2√(5)$ .

Find out more information about solution of an equation here

brainly.com/question/545403

#SPJ2

Answer:

the solution of:

x²=20

√x² = √(2² × 5)

x=2√5

So the answer is

A. x= ±2√5

What is the cube root of 8/125

Answers

Answer:

$(2)/(5)$

Step-by-step explanation:

Note the $\sqrt[3]{8}$ = 2 and $\sqrt[3]{125}$ = 5

Thus

$\sqrt[3]{(8)/(125) }$ = $\frac{\sqrt[3]{8} }{\sqrt[3]{125} }$ = $(2)/(5)$

Answer:

2/5

Step-by-step explanation:

8 = 2^3

125 = 5^3

Please help i dont undertand it

Answers

1/2 of the rectangle is shaded and they are looking for area so it would be 14 times 8 and to combine that it would be 1/2(14 times 8)=56

B
AKA 2

I have Khan Acadamy!!

Your welcome!

What is the answer to 80x34

Answers

What is 80 × 34 = ?

80 × 34 = 2720

So, 80 × 34 = 2,720.

Hope I helped ya!!

♥ The X is meaning to times this equation.
♥ Time/Multiply.
♥ You can see this as • x or * when doing multiplication.
♥ Therefore if we solve:
♥ 80*34 we get
♥ 2720

Is the following relation a function