Answer:
58
Step-by-step explanation:
Angle NPO is a right angle, then the angle 32 is equal to angle PNO, so x = 90 - 32 = 58.
Answer:
Step-by-step explanations:
Hi love ,
So the terms is :
<u>-80 , 5p , -8z </u>
and the coefficients is :
<u>5 , -8</u>
<u>Thank you :)</u>
<u></u>
15.99x + 12.50y < = 125......this would be ur inequality
Answer:
Yes, "y" varies directly with "x".
The equation is: 
Step-by-step explanation:
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
If you solve for "k", the equation is:
Then, given the table provided in the exercise, you can know if "y" varies directly with "x" by finding the quotient of the correspoding values of "x" and "y":
- Dividing 
by 
you get:
- Divide 
by 
:
- Dividing 
by 
:
Since the quotient is constant, then "y" varies directly with "x" and the the Constant of variation is:
Therefore, the equation for the Direct variation is:
<span>A direct variation is of the form
y = kx
where k is the constant of variation
In most cases k is positive in which case
y increase in direct proportion to an increase in x
Example
k = 2
x = 1, y = kx = 2(1)= 2
x = 3, y = kx = 2(3) = 6
Occasionally k is negative in which case
y decreases in direct proportion to an increase in x
Example
k = -2
x = 1, y = kx = (-2)(1) = -2
x = 3, y = kx = (-2)(3) = -6
---------------------------
This is not to be confused with an indirect variation which is of the form
y = k/x
where k is the constant of variation
Example
When k is positive y decreases inversely as x increases
k = 2
x = 1, y = k/x = 2/1 = 2
x = 3, y = k/x = 2/3 = 2/3
When k is negative y increases inversely as x increases
k = -2
x = 1, y = k/x = -2/1 = -2
x = 3 y = k/x = -2/3 = -2/3</span>
