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3 years ago

Please help!!!! Thank you!!!! (25 points)

Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

DASH LINE SHADE ON SIDE THAT DOESNT INCLUDE ORIGIN.

HOPE THIS HELPS

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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

A rectangle's length is twice its width. if the perimeter is 132 cm, find the width of the rectangle.

Over [174]

Perimeter=(2*length)+(2*width)
length=2*w
132=(2(2w))+(2w)
132=(4w)+(2w)
132=6w
w=22
l=44

8 0

3 years ago

Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in

Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = $\frac{4}{2}$ = 2 inches

Since, the area of a circle = $\pi r^{2}$

This implies that area of the two circles = $2\times \pi r^{2}$

i.e. Area of the circles = $2\times \pi 2^{2}$

i.e. Area of the circles = $8\pi$

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = $side^{2}$

i.e. Area of the square = $10.5^{2}$

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0

3 years ago

Evaluate the expression:

Simora [160]

The dot product will have you multiply the corresponding coordinates and add up the products

v dot w = (6*(-7)) + (7*5) + (-3*2)
v dot w = -42 + 35 - 6
v dot w = -7 - 6
v dot w = -13

Answer: -13

6 0

3 years ago

What are the coordinates of point A?

Virty [35]

(-4,-3) need 20 characters

3 0

3 years ago