Find the slope of the first line, that is the difference of the y’s over the difference of the x’s. This way: 2-5/2-5=-3/-3 which equals 1
Now find the slope of the second line 2-(-6)/-5-3
=8/-8
=-1
The slopes are opposite reciprocal ( you could also say that the product of the 2 slopes equals -1) therefore the lines are perpendicular.
Answer:
25.46
Step-by-step explanation:
Use the pythagorean thereom.
18^2 + 18^2 = c^2
324 + 324 = c^2
648 = c^2
√648 = c
c ≈ 25.46
Answer:
The missing value is 2
Step-by-step explanation:
A direct variation satisfies the equation
.
Since the point (-18, 12) lies on this line, it must satisfy this equation.


Hence the equation of this line is 
Now we substitute x=-3 to find y.

Therefore the missing value is 2
Answer:
4 minutes 30 seconds
Step-by-step explanation:
Given:
Erica can run 1/6 of a kilometer in one minute.
Her school is 3/4 of a kilometer away from her home.
Question asked:
How long would it take Erica to run home from school = ?
Solution:
As here distance is given and also speed is given, we will find time taken to run from home to school by using,


Therefore, it takes 4 minutes 30 seconds Erica to run home from school.