All categories

3 years ago

What are the solutions of the following system?

Mathematics

1 answer:

Andreyy893 years ago

3 0

X^2 + y^2 = 25
2x + y = -5.....y = -2x - 5

x^2 + (-2x - 5)^2 = 25
x^2 + (-2x - 5)(-2x - 5) = 25
x^2 + (4x^2 + 20x + 25) = 25
5x^2 + 20x + 25 = 25
5x^2 + 20x = 0
5x(x + 4) = 0

5x = 0 2(0) + y = -5
x = 0 y = -5

x + 4 = 0 2(-4) + y = -5
x = -4 -8 + y = -5
y = 3

solutions are : x = 0, y = -5.....and x = -4, y = 3

You might be interested in

4y³-2(2y-3)+y written in standard form

Lady_Fox [76]

Mutiply the bracket by -2

(-2)(2y)=-4y

(-2)(-3)= 6

4y^3-4y+6+y

4y^3-4y+y+6 ( combine like terms)

4y^ 3-3y+6

Answer: 4y^ 3-3y+6

5 0

3 years ago

Please answer the following chooses correctly.Each choose is true or false.

Mama L [17]

Answer:

1) True

2) False

3) False

4) True

Step-by-step explanation:

1) True

Anything over 100% is larger than the original.

2) False

Since it is 225% bigger, you multiply 4 by 2.25.

4 x 2.25 = 9

3) False

If it is 225% larger, it means that it is 2.25 times larger

4) True

8 0

2 years ago

A person can pay $15 for a membership to the history museum and then go to the museum

Finger [1]

Answer: the person would have to visit a total of twelve times for it to add up to $48

Step-by-step explanation:

48-15=33

then divide the 33 by 3 and you get 11 plus the 15 dollar membership and visit will get u 12 visits for $48.

7 0

3 years ago

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

5 0

2 years ago

What is the measurement of angle 2

AysviL [449]

69 is the measurement of angle 2

5 0

2 years ago

Read 2 more answers