Mathematics, 02.07.2021 05:30, ykluhredd

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations to their solutions.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match the

Answers: 2

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answered: Kimb6863

Step-by-step explanation:

1). 2x + y = 12 (1)

x = 9 - 2y (2)

By substituting the value of x from equation (2) to equation (1)

2(9 - 2y) + y = 12

18 - 4y + y = 12

18 - 3y = 12

3y = 18 - 12

y = 2

By substituting the value of x in equation (2)

x = 9 - 2(2)

x = 9 - 4

x = 5

2). x + 2y = 9 (1)

2x + 4y = 20

x + 2y = 10 (2)

Since, both the equations are the parallel equations,

Therefore, No solutions will be the answer.

3). x + 3y = 16 (1)

2x - y = 11 (2)

Multiply equation (2) by 3 the add to equation (1)

6x - 3y + (x + 3y) = 16 + 33

7x = 49

x = 7

From equation (1),

7 + 3y = 16

3y = 9

y = 3

4). y = 11 - 2x (1)

4x - 3y = -13 (2)

By substituting the value of y from equation (1) to (2),

4x - 3(11 - 2x) = -13

4x - 33 + 6x = -13

10x = 33 - 13

10x = 20

x = 2

From equation (1)

y = 11 - 2(2)

y = 7

5). y = 10 + x (1)

-3x + 3y = 30

-x + y = 10

y = 10 + x (2)

Equations (1) and (2) are same.

Therefore, Infinite solutions will be the answer.

6). 2x + y = 11 (1)

x - 2y = -7 (2)

Multiply equation (1) by 2 then add to equation (2)

4x + 2y + (x - 2y) = 22 - 7

5x = 15

x = 3

From equation (2)

3 - 2y = -7

2y = 3 + 7

y = 5

answered: Guest

answer: the answer is (b) amie should have multiplied

$54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.$

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

$v_s=\pi r^2h=\pi r^3,$

and the volume of the cylinder will be

$v_c=\dfrac{4}{3}\pi r^3=54~\textup{m}^3.$

therefore, we have

$v_c=\dfrac{4}{3}v_s=\dfrac{4}{3}\times 54=72~\textup{m}^3.$

thus, ammie should have multiplied the volume of the sphere $54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.$

answered: Guest

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the sy...