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2 years ago

2.) Simplify: 10x + 6y +4x = x(14) + 6y = 14x +6y

Mathematics

1 answer:

adelina 88 [10]2 years ago

5 0

Answer:

{x,y} = {1,1}

Step-by-step explanation:

[2] 6y = -14x + 20

[2] y = -7x/3 + 10/3

// Plug this in for variable y in equation [1]

[1] -10x - 6•(-7x/3+10/3) = -16

[1] 4x = 4

// Solve equation [1] for the variable x

[1] 4x = 4

[1] x = 1

// By now we know this much :

x = 1

y = -7x/3+10/3

// Use the x value to solve for y

y = -(7/3)(1)+10/3 = 1

Solution :

{x,y} = {1,1}

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Read 2 more answers

Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v

34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2) C ______ D(?)

B: (7, 2) | |

C: (4, 8) A |______| B

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

$B_{x} - A_{x} = 7 - 4 = 3$

Hence, the distance of point D from point C in the x-direction is:

$D_{x} = C_{x} + 3 = 4 + 3 = 7$

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

$C_{y} - A_{y} = 8 - 2 = 6$

Then, the distance of point D from point B in the y-direction is:

$D_{y} = B_{y} + 6 = 2 + 6 = 8$

Therefore, the coordinates of the missing vertex (point D) are:

$D = (D_{x}, D_{y}) = (7, 8)$

b) The area of the rectangle is:

$a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}$

The perimeter is given by:

$p = 2*(3 + 6) = 18 units$

I hope it helps you!

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3 years ago