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lisabon 2012 [21]
3 years ago
5

Multiply. 7⋅3/4 Enter your answer as an improper fraction, in simplified form, in the box.

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:

5.25

Step-by-step explanation:

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write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,
gayaneshka [121]

Answer:

The coordinates of the dillated vertices are A'(x,y) = (2,2), B'(x,y) = (4,4), C'(x,y) = (8,2) and D'(x,y) = (4,-2).

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)] (1)

Where:

O(x,y) - Center of dilation, dimensionless.

P(x,y) - Original point, dimensionless.

k - Scale factor, dimensionless.

P'(x,y) - Dilated point, dimensionless.

If we know that O(x,y) = (0, 0), k = 2, A(x,y) = (1,1), B(x,y) = (2,2), C(x,y) = (4,1) and D(x,y) = (2,-1), then the dilated points are, respectively:

Point A

A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)] (2)

A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)]

A'(x,y) = (2,2)

Point B

B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)] (3)

B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)]

B'(x,y) = (4,4)

Point C

C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]

C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)]

C'(x,y) = (8,2)

Point D

D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)]

D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)]

D'(x,y) = (4,-2)

The coordinates of the dillated vertices are A'(x,y) = (2,2), B'(x,y) = (4,4), C'(x,y) = (8,2) and D'(x,y) = (4,-2).

4 0
3 years ago
Find the mean of the following set of data: 12, 8, 7, 12, 6
tigry1 [53]

Answer: 9

Step-by-step explanation:

12 + 8 + 7 + 12 + 6 = <u>45</u>

There are <u>5</u> numbers

45 / 5 = 9

6 0
2 years ago
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Does choosing a blue marble represent the complement event of choosing a red marble
Hatshy [7]
No it is exactly the color.
3 0
3 years ago
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Given the exponential equation, 3=18. Which of the equationsbelow will solve for x?
Zinaida [17]

Answer:

if you are evaluating this claim is false

7 0
3 years ago
What is the value of x?
kotegsom [21]

Answer:

X=15

Step-by-step explanation:

A +B + C = 180

2x +4x+ 6x = 180

12x =180

X= 15

4 0
3 years ago
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