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melamori03 [73]
3 years ago
8

Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)

Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

(-6,14)

Step-by-step explanation:

We are given one endpoint and the midpoint, so we have to figure out how far apart these two points are:

(4,12) and (-1,13)

First, we take the x values because these two points are using the (x,y) pattern.

How far away are 4 and -1? The answer is 5.

How far away are 12 and 13? Only 1

If we start at the endpoint (4,12) and go to the midpoint at (-1,13), we go 5 to the left. That means we need to go 5 more spaces to the left to get to the other endpoint. The first part of our answer is -6, which is 5 to the left of -1.

Doing the same thing for the y values now, to get from 12 to 13 we go up 1. So we have to go up one more to find the y value of the other endpoint. If you are at 13 and you go up one, you are at 14.

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3 years ago
In 6-8, each table represents a linear relationship. Use the slope formula to find the slope or rate of change shown in each tab
dimaraw [331]

The slopes of the relationships are given as follows:

6. 5.

7. 1.

<h3>What is the complete question?</h3>

The problem is incomplete, as the tables are not readable, but researching it on a search engine, we find that:

  • For item 6, we have points (2,8) and (6,28).
  • For item 7, we have points (-6,5) and (4,10).

<h3>How to find the slope of a line given two points?</h3>

Given two points in the format (x,y), the slope of the line is given by change in y divided by change in x.

Hence, the slopes for each problem are given as follows:

6. m = (28 - 8)/(6 - 2) = 20/4 = 5.

7. m = (10 - 5)/(4 - (-6)) = 10/10 = 1.

More can be learned about the slope of a line at brainly.com/question/24808124

#SPJ1

5 0
1 year ago
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5^7/5^5 hurrrrrrrrryyyyyyyyyyyyy
Gnoma [55]

Answer:

25

Step-by-step explanation:

8 0
2 years ago
4y+12=0<br> How do I get the two points to be graphed
coldgirl [10]

Did somebody say you're supposed to draw the graph of the equation ?
Is that the assignment ?

OK.  Just like every other equation you need to graph, get it in the
standard form, where 'y' is all alone on one side, and everything else
is on the other side.  When you do that, you'll be able to spot the slope
and y-intercept of the  line, or get some points, or whatever you want.

                                               4y + 12  =  0

Subtract 12 from each side:          4y  =  -12

Divide each side by 4:                      y  =  -3

There's the equation you can handle. 
The y-intercept is -3, and the slope is zero.

Would you like some points ?  OK.  Pick a couple of values for 'x',
and calculate the value of 'y' for each one:

The first value I picked for 'x':  x = 72 
The equation is  y=-3, so when x=72, y=-3.  The point is (72, -3)

The second value I picked for 'x' is:  x = 1
The equation is  y=-3, so when x=1,  y=-3.    The second point is (1, -3).

The third value I picked for 'x' is 4 billion.
The equation is  y=-3, so when x=4 billion, y=-3.  The third point is  (1, -3).

Do you see what's going on here ?  Your original equation didn't even
have 'x' in it, so we could tell right away that when the graph is drawn,
the value of 'y' at every point can't depend on 'x'.

When we simplified the equation and got it in standard form, we found that
the slope of the graph is zero.  That means the graph doesn't rise or fall ...
it's just a horizontal line.  Sure enough, the height of points on the line
doesn't depend on 'x'.  The value of 'y' at every point on the line is  -3 .
8 0
2 years ago
An architect is designing square windows with an area of(x2 + 16x +64) ft?. The dimensions of the
Darina [25.2K]

A) The dimensions are (x+10) by (x+10).

B) The perimeter is given by 4x+40.

C) The perimeter when x is 4 is 56.

The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x.  Our c is 100 and our b is 20; we want factors of 100 that sum to 20.  10*10=100 and 10+10=20, so those are what we need.  This gives us (x+10)(x+10 for the factored form.  

Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10).  Using the distributive property we have 4*x+4*10=4x+40.

To find the perimeter when x=4, substitute 4 into our perimeter expression:

4*4+40=16+40=56.

6 0
2 years ago
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