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vekshin1
3 years ago
12

The graph of a line passes through the two points (-2,1) and (2,1).

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

part 1

(-2,1) and (2,1)

Both points have the same y value

The slope is zero since it is a horizontal line and it crosses the y axis at y =1 so the y intercept is (0,1)

part 2

The equation of the line in slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 0x+1

y =1

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If the box holds 24 of these sugar cubes,what is the total volume of the box?
mylen [45]

Answer:

V_{box}=3u^{3}

Step-by-step explanation:

The complete question is

<em>If the box holds 24 of these sugar cubes what is the total volume of the box.</em>

<em>The sugar cubes are 1/2 x 1/2 x 1/2</em>

<em />

The total volume of the box would be the volume of each sugar cube multiplied by 24, because the box is formed by those 24 sugar cube.

The volume of one sugar cube

V_{cube}=\frac{1}{2}\times \frac{1}{2} \times \frac{1}{2}=\frac{1}{8}  u^{3}

We have 24 of them, so the volume of the whole box is

V_{box}=24\frac{1}{8}u^{3}\\ V_{box}=3u^{3}

Therefore, the volume of the box is

V_{box}=3u^{3}

5 0
3 years ago
What is the greatest common factor of 72x2y and 18xy
Lunna [17]

72x^2y=2^3\cdot3^2\cdot x^2 \cdot y\\ 18xy=2\cdot3^2\cdot x \cdot y\\\\ \text{gcf}(72x^2y,18xy)=2\cdot3^2\cdot x \cdot y=18xy

6 0
3 years ago
Q # 1 Graph the function<br>Y = |X + 2| - 3
Svetllana [295]
First of all we know the Absolute Value Function that is:

\left | x \right |= \left \{ {{x \ \ \ \ x \geq 0} \atop {-x \ \ \ \ x\ \textless \ 0}} \right.

This is called the Parent Function <em>of the Absolute Value Function.</em>

From the equation:

y=\left | x+2 \right |-3

The term:

\left | x+2 \right |

means that the the Parent Function is <em>shifted</em> two units <em>to the left</em>.

On the other hand, the term:

-3

means that the function \left | x+2 \right | is <em>shifted</em> three units <em>downward. </em>So the result is the graph shown below

4 0
3 years ago
Read 2 more answers
Help me with this plz no links
Kisachek [45]

Answer:

29,344.87 feet

Step-by-step explanation:

Tall Mountain is 8606.37 feet higher than Mt. Might. Let's replace the missing number with x.

Let's set up an equattion:

x = 20,738.5 + 8,606.37

Now let's solve the equation.

20,738.5 + 8,606.37 = 29,344.87

Add feet after the answer.

29,344.87

6 0
2 years ago
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Find the equation of a line parallel to y - 5 = 6x – 10 that passes through the
Nataliya [291]

Answer:

y=6x-14

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

add 5 on both sides to make y on the left side and the other part on the right side.

y=6x-5

IMPORTANT: Parallel lines have the same slope

if the line passes through the point (4,10) we can substitute values for x and y into y=mx+b

10=4m+b

Now since we know that this line is parallel to y=6x-5 they have the same slope which means m is 6

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now solve for b

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so we know that m is 6 and b =14 now we substitute it back into y=mx+b for m and b

y=6x-14

Hope that helps :)

4 0
3 years ago
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