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Illusion [34]
3 years ago
14

A rectangle is graphed on the coordinate grid.

Mathematics
2 answers:
Sloan [31]3 years ago
4 0
Side s

(4,1)(1,4)
slope = (4-1)/(1-4) = 3/-3 = -1

y =  mx + b
1 = -1(4) + b
b = 5

equation of side s:
y = -x + 5
ki77a [65]3 years ago
3 0
With two points you can define a line.

So, the line parallel to s is q, which has these two points: (3,6) and (6,3)

There are different ways to get the line. For instance, this one:

y = a*x+b,

a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,

y = -x + b,

Now use any point, say (3,6) to get b:

6 = -3+b-> b = 9,

line is y = -x + 9,

It checks out in the other point: (6,3) --> 3 = -6+9 = 3. Good.

Other method could be:

y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.

Hope it helps!
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allochka39001 [22]

Answer:

See below

Step-by-step explanation:

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5 0
1 year ago
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v
34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}

The perimeter is given by:

p = 2*(3 + 6) = 18 units

I hope it helps you!          

8 0
2 years ago
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Irina18 [472]

Answer:

Theres more orange juice than pineapple juice.

Step-by-step explanation:

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3 years ago
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Furkat [3]
Since the plane descends 1,300 feet per minute it would descend 19,500 feet after 15 minutes (1,300 x 15 = 19,500) Subtract this from the plane's initial altitude 32,000 and the new altitude will be 12,500. (32,000-19,500=12,500)

6 0
3 years ago
I need help please! asap
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Answer:

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