All categories

3 years ago

Solve the equation4x²+3xy= 2y²+803x²+xy=2y²+48

Mathematics

1 answer:

Ad libitum [116K]3 years ago

8 0

Answer:

x=K and y=3/2K sorry if im wrong :/

Step-by-step explanation:

You might be interested in

Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

3 years ago

Order the following numbers from least to greatest.<br> 64 cubicle root 18 cubicle root 4.2

Mrrafil [7]

It would be 4.2, 19 cubic root, and 64 cubic root (least to greatest)

3 0

3 years ago

Help me plz need help

atroni [7]

Answer:

Concept: Area

$area = \pi {r}^{2}$
We are given area hence 78.5 square meters
We want the radius so we isolate
$78.5 = \pi {r}^{2}$
Isolate for r to get r= 4.99 or 5 square units approximately

4 0

3 years ago

Read 2 more answers

Jodi Poured herself a cold soda that had an initial temperature of 37°F and immediately went outside to sunbathe where the tempe

quester [9]

I'm pretty sure it's 50°f because the original temperature is 37°f and after 8 minutes it was 42°f and 42 minus 37 is 5, 8 divided by 5 is 1.6 and then multiply that by 5 is 8 and 42 + 8=50°F

6 0

3 years ago

When you divide the number of permutations of 11 objects taken 3 at a time by 3!, you will get the number of combinations of 11

Sloan [31]

Answer:

Yes

Step-by-step explanation:

Permutation :

nPr = n! ÷ (n - r)!

nCr = n! ÷ (n-r)!r!

11 objects taken 3 at a time :

11P3 = 11! ÷ (11 - 3)!

11P3 = 11! / 8!

11P3 = (11 * 10 * 9 )

11P3 = 990

Dividing by 3!

3! = 3*2*1 = 6

= 990 / 6

= 165

For combination :

11C3 = 11! ÷ 8!3!

11C3 = (11 * 10 * 9) / (3 * 2 * 1)

11C3 = 990 / 6

11C3

4 0

3 years ago

Solve the equation4x²+3xy= 2y²+803x²+xy=2y²+48​

Solve the equation4x²+3xy= 2y²+803x²+xy=2y²+48