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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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You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per h
likoan [24]

Answer:

319.68

Step-by-step explanation:

you multyply 11.52 per each hour and then add everything up

Wish this helped you

7 0
3 years ago
There are 5,426 people seated at tables. Each table seats 8 people.
ddd [48]

Answer:

678

2

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

  • Number of full tables= 5426/8= 678.25 so full part is 678

How many people are sitting at a table that is not full?

  • 0.25 table= 8*0.25= 2 people are sitting at a table that is not full

or

  • 5426 - 678*8= 2 people

How many tables are needed for all 5,426 people?​

  • 678+1= 679 tables

6 0
3 years ago
Mr Barton was answering the problem below the question
polet [3.4K]
No the student is incorrect the answer is actually 332
4 0
3 years ago
Simplify the expression 4|-4|
Naddik [55]

An absolute value means something distance from 0, so |8| = 8 because the distance of 8 from 0 is 8. However the |-8| still equals 8 because the distance from -8 to 0 is 8

So with that in mind, we know that |-4| is 4 because the distance -4 is from 0 is 4

So we have 4*4 = 16

3 0
3 years ago
Read 2 more answers
On a trip, a motorist drove 150 miles in the morning and 50 miles in the afternoon. His average rate in the morning was twice hi
Lina20 [59]

Answer:

Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.

Step-by-step explanation:

Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.

Given that he spent 5 hours in driving.

And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.

Given that his average rate in the morning was twice his average rate in the afternoon.

(150/x) = 2 * 50/(5-x)

150/x = 100/(5-x)

Cross multiplying terms, we get:-

150*(5-x) = 100*x

750 - 150x = 100x

750 = 100x + 150x

750 = 250x

x = 750/250 = 3.

It means he spent 3 hours in the morning and 2 hours in the afternoon.

So morning's average rate = 150/3 = 50 mph.

and afternoon's average rate = 50/(5-3) = 25 mph.

8 0
3 years ago
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