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denpristay [2]
2 years ago
10

The graph below shows a line segment MN: Which of the following equations best represents the line segment MN?

Mathematics
2 answers:
Aneli [31]2 years ago
4 0
Y= -2x-1 is the asnwer i think
hope this helped
DENIUS [597]2 years ago
4 0

Answer:

D. y=-2x-1

Step-by-step explanation:

We have been given a line on coordinate plane. We are asked to find the equation of our given line.

First of all, we will find slope of our given line using points (-2,3) and (0,-1) in slope formula.

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 = Difference between two y-coordinates,

x_2-x_1 = Difference between two x-coordinates of same y-coordinates.

Upon substituting our given values in slope formula, we will get:

m=\frac{-1-3}{0--2}

m=\frac{-4}{0+2}

m=\frac{-4}{2}

m=-2

Now, we will use slope-intercept form of equation y=mx+b, where,

m = Slope of line,

b = The y-intercept.

Upon looking at our given graph, we can see that y-intercept is -1.

Therefore our required equation would be y=-2x-1 and option D is the correct choice.

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The <em><u>correct answer</u></em> is:

15 bicycles and 6 skateboards.

Explanation:

Let x represent the number of bicycles and y represent the number of skateboards.  The first equation in our system is then

x+y = 21, since there are 21 total items in the shop.

Each bicycle has 2 tires and each skateboard has 4; this gives us the equation

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This makes our system

\left \{ {{x+y=21} \atop {2x+4y=54}} \right.

We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations.  We will make x the same, and we will do this by multiplying the first equation by 2:

\left \{ {{2(x+y=21)} \atop {2x+4y=54}} \right.  \\&#10;\\\left \{ {{2x+2y=42} \atop {2x+4y=54}} \right.

Now we will subtract the second equation from the first one:

\left \{ {{2x+2y=42} \atop {-(2x+4y=54)}} \right.  \\&#10;\\-2y=-12

Divide both sides by -2:

-2y/-2 = -12/-2

y = 6

There were 6 skateboards.  Substituting this into the first equation,

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Subtract 6 from each side:

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There were 15 bicycles.

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Juan and Franco collect baseball cards. Juan has baseball cards. Franco has 18 fewer baseball cards than Juan. Together they hav
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Answer:

Franco has 66 baseball cards.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of baseball cards that Franco has.

y is the number of baseball cards that Juan has.

Franco has 18 fewer baseball cards than Juan.

This means that:

x = y - 18

Also:

y = x + 18

Together they have 150 baseball cards.

This means that:

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Since y = x + 18

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Franco has 66 baseball cards.

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