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Iteru [2.4K]
2 years ago
9

MUG has coordinates M(9,-6), U(2,7), and G(4,3). A translation maps point M to M'(6,-3).

Mathematics
1 answer:
Leni [432]2 years ago
8 0

Answer:

Translation (x,y) = (-3,+3)

U' = (-1,10)

G' = (1,0)

Step-by-step explanation:

The translation of x and y (U') = -1,10

The translation of y (G') = 1,0

It's subtracting 3 (for x) and adding 3 (for y)

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is it possible to store a 20 foot long pipe in a rectangular room that is 10 feet by 12 feet by 8 feet?
Anastaziya [24]
First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse = <span> <span> <span> 15.62 feet

Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² = 15.62² + 8²
hypotenuse² = 244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.


7 0
2 years ago
Read 2 more answers
Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
Deffense [45]
The answer is a I just did it :)
3 0
2 years ago
What is the equation of this circle in standard form M(2,4) N(9,4) these are coordinates across the diameter of the circle?
igomit [66]
The standard form is

(x-xo)² + (y-yo)² = r²

Where xo,yo is the center of the circumference
and r is the radius.

We find the distance between the points to determine the <span>diameter

d=sqrt ((9-2)</span>² + (4-4)²<span>) = sqrt (49) = 7

The radius of the circumference is d/2 = 7/2 = 3.5

And we can see that those points are at the same coordinate y = 4 

The center is given then by , x = (9+2)/2 = 5.5
                                              y = (4+4)/2 = 4

The equation results

(x-5.5)</span>² + (y-4)² = (3.5)²<span>

</span>
3 0
3 years ago
2. A fair dice is rolled. What is the probability that a number divisible by 3 is rolled?
Anni [7]

Answer: 2

Step-by-step explanation:

A dice has 6 numbers on it, 1,2,3,4,5, and 6.

how many pairs of 3 can you make?

(1   2   3)   (4   5   6)

There are 2 pairs, so your answer is 2

6 0
3 years ago
Suppose that a school has 20 classes: 16 with 25 students in each, three with 100 students in each, and one with 300 students, f
astraxan [27]

Answer

a)   y    |      p(y)

    25   |      0.8

   100   |     0.15

   300   |      0.05

E(y) = ∑ y . p(y)

E(y) = 25 × 0.8 + 100 × 0.15 + 300 × 0.05

E(y) = 50

average class size equal to E(y) = 50

b)  y    |      p(y)

    25   |     \dfrac{16\times 25}{1000}=0.4

   100   |     \dfrac{3\times 100}{1000}=0.3

   300   |      \dfrac{1\times 300}{1000}=0.3

E(y) = ∑ y . p(y)

E(y) = 25 × 0.4 + 100 × 0.3 + 300 × 0.3

E(y) = 130

average class size equal to E(y) = 130

c) Average Student in the class in a school = 50

  Average student at the school has student = 130

5 0
3 years ago
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