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rosijanka [135]
3 years ago
10

Please help me chose the right letter

Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

Answer:

D.

Step-by-step explanation:

The correct answer to the problem is D.

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The point (-3,3) lies on a circle. What is the length of the radius of this circle if the center is located at (10,6) ?
Amiraneli [1.4K]
The radius is from center to point on a circle. 
So your task is  count distance between two points: S(10,6) and A(-3,3). 
Distance between two points A(x1, y1) and B(x2, y2)  count from this formula:
|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \hbox{So:} \\ \\ r=|SA|=\sqrt{(-3-10)^2+(3-6)^2}=\sqrt{(-13)^2+(-3)^2}=\sqrt{169+9}= \\ r= \sqrt{178}
5 0
3 years ago
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Multiply 8x(3/4y+4) using distributive property
katrin [286]

6xy+32

You multiply 8x by each number and get

24/4xy+32   You can simplify the 24/4 to get six. so your answer is

6xy+32

4 0
3 years ago
Is the following number rational or irrational 0.5555?
4vir4ik [10]

Answer:

Simple.

The decimal 0.5555 is a rational number. It's a terminating decimal, since it doesn't end with an ellipsis.

4 0
3 years ago
The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b
maw [93]

Answer:

  80 m^2

Step-by-step explanation:

The given information lets you write two equations involving length (x) and width (y).

  • 2(x +y) = 36 . . . . the perimeter is 36 m
  • (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area

The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.

  xy +y +2x + 2 -xy = 30

  2x +y = 28 . . . . . . . subtract 2

Dividing the first equation by 2 gives

  x +y = 18

and subtracting this from the above equation gives ...

  (2x +y) -(x +y) = 28 -18

  x = 10

Then

  y = 18 -10 = 8

The area of the original rectangle is xy = 10·8 = 80 m^2.

4 0
3 years ago
Plizz help me out on this oneee
Kobotan [32]
There are 30 students all together, and 4 of them are Freshman girls (Freshwomen ?). So the probability that one randomly chosen student is a Female Frosh is 4/30 = 2/15.
8 0
3 years ago
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