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3 years ago

Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)?

Mathematics

1 answer:

Darya [45]3 years ago

5 0

Answer:

Option B.

Step-by-step explanation:

We need to find a pair of lines that represents the equations with the solution (4, −1).

Since (4,-1) is the solution of the equations. It means (4,-1) is the intersection point of lines.

4 on x-coordinate means 4 units right.

-1 on y-coordinate means 1 unit down.

A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the right and 1 unit down.

Therefore, the correct option is B.

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Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by

Tamiku [17]

Answer:

7/8

Step-by-step explanation:

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters.

WE need find which factor is multiplied with radius of sphere A to produce the radius of sphere B

Diameter of sphere B is 42

Radius = diameter /2

Radius = 42/2= 21

Radius of sphere B = 21

RAdius of sphere A times x= radius of sphere B

24 * x= 21

Divide by 24 on both sides

x= 21/ 24

divide top and bottom by 3

x= 7/ 8

5 0

3 years ago

Read 2 more answers

Is -1.125 a real number?

pochemuha

$-1.125=-1\frac{125}{1000}=-1\frac{1}{8}\ is\ real\ number$

7 0

3 years ago

Read 2 more answers

The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.

REY [17]

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

<u>Method 1</u>

From the figure, we can see that:

There are 6 cubes in the figure
The dimensions of the cubes are equal
The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

Volume = 6

<u>Method 2</u>

From the figure, we can see that:

There are 6 cubes in the figure
2 cubes at the top and 4 at the bottom
The dimensions of the cubes are equal
The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Top cubes + Bottom cubes

This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units