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Lorico [155]
2 years ago
12

A triangle has vertices at (-4,-6),(3,3), (7,2). Rounded to two decimal places, which of the following is the closest approximat

ion of
the perimeter of the triangle?

A. 19.34
B. 12.36
C. 15.52
D. 29.12
Mathematics
1 answer:
Cerrena [4.2K]2 years ago
6 0

Answer:

Hey there!

The perimeter of the triangle is the distance around it.

We can find the distance of two points using the distance formula, and add up all the distances to find the total distance.

-4, -6 to 3, 3 is 2

3, 3 to 7, 2 is 5

7, 2 to -4, -6 is about 5.4

2+5+5.39=12.4, which is closest to 12.36.

Let me know if this helps :)

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Math 8: Linear Functions, Part 2
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Answer:

\boxed{\text{1. y + 5 = -4(x - 3); \qquad 2. y - 8 = x + 1}}

Step-by-step explanation:

Question 1

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = 3; y₁ = -5; m = -4  

Substitute the values

\boxed{\textbf{y + 5 = -4(x - 3)}}

The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).

Question 2

x₁ = -1; y₁ = 8; m = 1  

Substitute the values

\boxed{\textbf{y - 8 = x + 1}}

The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).

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8 0
2 years ago
Let A = {1,2,3,..., 8, 9, 10} B = {4, 7, 10}
Dovator [93]

The answers to the questions are

(i) B - A = Ф / null set

(ii) A - B = {1, 2, 3, 5, 6, 8, 9}

(iii) (A - B) ∩ (B - A) = Ф / null set

(iv)  (A - B) ∪ (B - A) = {1, 2, 3, 5, 6, 8, 9}

A set contains different elements which are mathematical objects of any kind such as numbers, points, spaces, lines e.t.c.

Different types of set are -singleton setsfinite and infinite setsempty or null sets equal sets unequal sets equivalent sets overlapping sets disjoint sets subsets super sets power sets universal sets

According to question,

i ] B - A = 0/null set

ii ] A - B = [ 1,2,3,5,6,8,9 ]

iii ]   (A-B) n (B-A) = 0/ null set

iv ]  (A-B) u ( B-A) = [ 1,2,3,5,6,8,9 ]

Hence, the answers to the questions are

(i) B - A = Ф / null set

(ii) A - B = {1, 2, 3, 5, 6, 8, 9}

(iii) (A - B) ∩ (B - A) = Ф / null set

(iv)  (A - B) ∪ (B - A) = {1, 2, 3, 5, 6, 8, 9}

To understand more about Set Theory refer - brainly.com/question/13458417#SPJ9

4 0
1 year ago
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