What is the sum of the interior

The table can be used to determine the solution of equations, 2x - 2y = 6 and 4x + 4y = 28.

NeTakaya

Answer:

(5, 2)

Step-by-step explanation:

Given the following system of equations;

2x - 2y = 6 ......equation 1.

4x + 4y = 28 ......equation 2.

To get an equivalent equation, we would multiply eqn 1 by 2;

2 * (2x - 2y = 6) = 4x - 4y = 12

The new equivalent system of equations are;

4x - 4y = 12

4x + 4y = 28

Adding the equivalent system of equations, we have;

(4x + 4x) + (-4y + 4y) = (12 + 28)

8x + 0 = 40

8x = 40

x = 40/8

x = 5

Next, we would find the value of y;

2x - 2y = 6

Substituting the value of x, we have;

2(5) - 2y = 6

10 - 2y = 6

Rearranging the equation (collecting like terms), we have;

2y = 10 - 6

2y = 4

y = 4/2

y = 2

Therefore, the solutions to the new system of equations are 5 and 2.

Check:

2x - 2y = 6

Substituting the values, we have;

2(5) - 2(2) = 6

10 - 4 = 6

6 = 6

3 0

3 years ago

Distance on graph

Mnenie [13.5K]

The graph can be divided into two shapes. A rectangle and a right triangle.

The distance that the rover will cover if it completes one circuit can be computed using the Pythagorean theorem and adding the sides of the rectangle.

Rectangle:
Width = 4 - 2 = 2 meters
Length = 11 - 2 = 9 meters

Triangle = 16 - 2 = 14 ; 14 - 2 = 12 meters (this is the short leg)
long leg of the triangle = length of the rectangle = 9 meters.

12² + 9² = c²
144 + 81 = c²
225 = c²
√225 = √c²
15 = c

Point A to B = 4 - 2 = 2 meters
Point B to C = 15 meters
Point C to D = 16 - 2 = 14 meters
Point D to A = 11 - 2 = 9 meters

Total distance traveled = 2 + 15 + 14 + 9 = 40 meters.

6 0

2 years ago

HELP PLS ASAP I HAVE 6 MINUTES NO LINKS

Ainat [17]

you could say if you knew how many cubes there were in total, you could subtract them

5 0

2 years ago

Here are two expressions whose product is a new expression, :

Vera_Pavlovna [14]

Answer:

1. Fill in the box with 1

2. Fill in the box with -2