Answer:
Step-by-step explanation:
Perpendicular lines are lines whose slopes are negative reciprocals of each other
To find the slope of the line we are given, we can rearrange the equation

The slope of this line is
, so the slope of the other line is 
next, we can use the given point to find the equation 
we know m, we can solve for b



Can't see the table but direct variation is: y = kx
So if the output is some constant multiple which could be positive, negative or fraction then yes it is direct variation. So just divide a couple y/x = k to see what you get.
Answer:

Step-by-step explanation:
we know that

Remember the identity

step 1
Find the value of 
we have that
The angle alpha lie on the III Quadrant
so
The values of sine and cosine are negative

Find the value of sine

substitute




step 2
Find the value of 
we have that
The angle beta lie on the IV Quadrant
so
The value of the cosine is positive and the value of the sine is negative

Find the value of cosine

substitute




step 3
Find cos (α + β)

we have




substitute



1/6 If you have a graphing calculator, it would be simple to type in the fraction as a division equation then type MATH, ENTER, ENTER.
Answer: The height of the model on the right is 22.5 cm .
Step-by-step explanation:
We can see that , the given different models of the same triangular-shaped garden are similar.
For the first model 1 cm = 3.75 m
whereas for the second model 1 cm = 2.5 m
Now , the constant rate of proportion for this (k) = 
Now , if height of the model on the left is 15 cm , then the height of the model on right = 15 x k
= 15 x 1.5
= 22.5 cm
Hence, the height of the model on the right is 22.5 cm .