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3 years ago

What is the slope of a line that goes through (0, 6) and (6, 0)?

Mathematics

2 answers:

saveliy_v [14]3 years ago

5 0

Answer: The required slope of the line is -1.

Step-by-step explanation: We are given to find the slope of a line that goes through the points (0, 6) and (6, 0).

We know that

the slope of a straight line that passes through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

Therefore, the slope of the given line is

$m=\dfrac{0-6}{6-0}=\dfrac{-6}{6}=-1.$

Thus, the required slope of the line is -1.

s344n2d4d5 [400]3 years ago

3 0

The slope of the line is -1

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3 years ago

Read 2 more answers

In a group of Explore students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O

Elodia [21]

Answer:

The number of students that like only two of the activities are 34

Step-by-step explanation:

Number of students that enjoy video games, A = 38

Number of students that enjoy going to the movies, B = 12

Number of students that enjoy solving mathematical problems, C = 24

A∩B∩C = 8

Here we have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) -n(A∩C) + n(A∩B∩C)

= 38 + 12 + 24 - n(A∩B) - n(B∩C) -n(A∩C) + 8

Also the number of student that like only one activity is found from the following equation;

n(A) - n(A∩B) - n(A∩C) + n(A∩B∩C) + n(B) - n(A∩B) - n(B∩C) + n(A∩B∩C) + n(C) - n(C∩B) - n(A∩C) + n(A∩B∩C) = 30

n(A) + n(B) + n(C) - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 3·n(A∩B∩C) = 30

38 + 12 + 24 - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 24 = 30

- 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) = -68

n(A∩B) + n(B∩C) + n(A∩C) = 34

Therefore, the number of students that like only two of the activities = 34.

8 0

3 years ago