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tigry1 [53]
2 years ago
7

The coordinates of points M,N, and P are ....

Mathematics
1 answer:
Rainbow [258]2 years ago
8 0

Answer:

(-1, -1) Let me know if the explanation didn't make sense.  

Step-by-step explanation:

If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left.  This means M is only connected to N here and P is only connected to N.  So we want to find the slope of these two lines.

MN is easy since their y values are the same, the slope is 0.

NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.

So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0.  To find these lines  weuse point slope form  for those two points.  The formula for point slope form is y - y1 = m(x-x1)

y-3 = -4(x+2) -> y = -4x-5

y+1 = 0(x-5) -> y = -1

So now we want these two to intersect.  We just set them equal to each other.

-1 = -4x -5 -> -1 = x

So this gives us our x value.  Now we can plug that into either function to find the y value.  This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)

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miss Akunina [59]

Answer:

C(x) = 5x + 20 (for members)

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Step-by-step explanation:

Cost of membership = $20

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So, the linear equation to compute the total cost for a member can be computed by:

C(x) = 5x + 20

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On the other hand, non-members can get one more game per month for $7 which means they get 2 games for $7. The price for a single game is $7/2 = $3.5 a month.

The linear equation to compute the total cost for a non-member is:

C(x) = 3.5x

where x is the number of games per month.

The following system of equations can be used to decide whether to become a member or not, by substituting the number of games in place of x and finding out the total cost.

C(x) = 5x + 20 (for members)

C(x) = 3.5x (for non-members)

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saul85 [17]

Answer:

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Step-by-step explanation:

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3 years ago
The audience thinks 30\%30%30, percent of Brandon's jokes are funny.
Kisachek [45]

Answer:

3/10

Step-by-step explanation:

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Express the percentage as a fraction

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= 30 / 100

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The fraction of Brandon's jokes that the audience think are funny is 3/10

6 0
2 years ago
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