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malfutka [58]
3 years ago
13

Quadrilateral ABCD with vertices A(4, 3), B(4, -2), C(-4, -2) and D(-4, 3) is a rectangle, find the length of the diagonals.

Mathematics
1 answer:
marin [14]3 years ago
6 0
Distance between two points P(x1,y1), Q(x2,y2):
D=sqrt((x2-x1)^2+(y2-y1)^2)

Polygons are generally named in order along the perimeter, so that for a rectangle ABCD, AC or BD are diagonals.
Here, we need the distance between points A(4,3) and C(-4,-2)
Applying the above formula for distance between two points, 

D=sqrt((4-(-4))^2+(3-(-2))^2)=sqrt(8^2+5^2)=sqrt(64+25)=sqrt(89)
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A clock is 17 minutes fast what is the correct time when it is showing 9:21 a.m.​
docker41 [41]

Answer:

9:04

Step-by-step explanation:

21 - 17 = 4

it's using subtraction

3 0
2 years ago
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Solve the system of equations below x-2y=3 <br><br> 2y-3y=9
Crank
First you solve 2y-3y=9.
2y - 3y = 9 \\ subtract \: 2y \: and \: 3y \\  - y = 9 \\  divide \: by \:  - 1 \\ y =  - 9
Now that you have y, then you substitute y into x-2y=3 to find X

x - 2( - 9) = 3 \\ multiply \:  - 9 \times  - 2 \\ x + 18 = 3 \\ subtract \: 18 \: on \: both \: sides \\ x =  - 15
Your solution is (-15, -9)
6 0
3 years ago
The table shows the ratio between the number of books ordered and their cost: Find equivalent ratios when the number of books or
Nana76 [90]

Answer:

The answer is below

Step-by-step explanation:

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.

Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.

Using point (7, 21) and (8, 24):

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-21=\frac{24-21}{8-7}(x-7)\\ \\y-21=3(x-7)\\\\y=3x-21+21\\\\y=3x

When the number of books ordered is 1, 2, 3 the following pairs are:

For x = 1.     y = 3x = 3(1) = 3

For x = 2     y=3x = 3(2) = 6

For x = 3     y = 3x = 3(3) = 9

The ordered pairs are (1, 3), (2, 6), (3, 9)

The graph is attached

To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate  

8 0
3 years ago
16 x 55 ////////////////////
frosja888 [35]

Answer:

880

Step-by-step explanation:

3 0
3 years ago
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jolli1 [7]

Answer:

2880.31155 Kilograms

Step-by-step explanation:

A pound is equal to 16 ounces.

The stability of kilogram is really important, for four of the seven fundamental units in the SI system are defined relative to it.

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