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katrin [286]
3 years ago
6

The vertices of triangle PQR are listed below.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

A. 32 units

Step-by-step explanation:

First, we need to find all of the side lengths of triangle using distance formula:

  • Distance = \sqrt{(x2-x1)^2 + (y2-y1)^2}

Now, we can calculate length of PQ, QR and PR sides by using their vertices and above formula:

  • PQ=\sqrt{(-13-(-5))^2+(-3-3)^2} =\sqrt{8^2+6^2}=10
  • QR=\sqrt{(-5-(-13))^2+(-9-(-3))^2} =\sqrt{8^2+6^2}=10
  • PR=\sqrt{(-5-(-5))^2+(-9-3)^2} =\sqrt{0^2+12^2}=12

For perimeter we add up the length of all of its sides:

  • Perimeter = PQ +QR + PR=10+10+12=32

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If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x
N76 [4]

The following equation represents the function g in function notation,

g(x) = 3x - 14 [Option (A)]

Definition of a Function

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.

Given equation is,

y -3x = -14

⇒ y = -14 + 3x

or y = 3x - 14

Here, y stands for or represents the function g(x) which is a function of independent variable x.

Thus, the correct function notation is as follows,

g(x) = 3x - 14

Learn more about a function here:

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6 0
1 year ago
20 hundreds equals how many thousands?
RideAnS [48]
I think you mean how many thousands equal 20 hundreds. Well it's simple, 20 hundreds equal 20*100 which equals 2,000. Therefore, 20 hundreds equals 2 thousands.
8 0
3 years ago
Read 2 more answers
What is the answer and how to do this?​
zhenek [66]

Answer:

<u>a</u>

Step-by-step explanation:

Given :

⇒ P (Sumit) = 1/2

⇒ P (Sujan) = 1/3

⇒ P (Rakesh) = 1/a

⇒ P (total) = 3/4

============================================================

Solving :

⇒ 1/2 × 1/3 × 1/a = 3/4

⇒ 1/6 × 1/a = 3/4

⇒ 2/12 × 1/a = 9/12

⇒ a = <u>9/2</u>

6 0
2 years ago
William bought 114 juice boxes for his party. At the end of the party, he had 23 juice boxes left over. How many juice boxes did
slava [35]

Answer:

Number of juice boxes people drank at Williams party = 91

Step-by-step explanation:

Total juice boxes Williams bought = 114

Juice boxes left over at the party = 23

How many juice boxes did people drink at William's party?

Number of juice boxes people drank at Williams party = Total juice boxes Williams bought - Juice boxes left over at the party

= 114 - 23

= 91

Number of juice boxes people drank at Williams party = 91

8 0
3 years ago
Two angles in a triangle add up to 85 degrees what is the size of the third angle
Ilia_Sergeevich [38]
All of the angles in a triangle should add up to 180 degrees so if you know 2 out of three you just do subtract 180 by the sum of the two angles.
180-85=95
6 0
3 years ago
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