A
Which number line shows the solutions to n > 0
2 answers:
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a) Option B Direct variation, y=1.8x is correct option.
b) Option A Not a direct variation is correct option.
Step-by-step explanation:
a) for the data in the table tell whether y varies directly with X if it does write an equation for the direct variation
The direct variation is represented by:
We need to find k.
Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly
Since value of k is constant i.e 1.8 so, y varies directly with x.
Option B Direct variation, y=1.8x is correct option.
b) For the data in the table tell whether Y varies directly with x if it does write an equation for the direct variation.
The direct variation is represented by:
We need to find k.
Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly
Since value of k is not constant so, y doesn't varies directly with x.
Option A Not a direct variation is correct option.
Keywords: Direct variation:
Learn more about Direct variation at:
#learnwithBrainly
Answer:
For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)
The transformation to rectangular coordinates is written as:
x = R*cos(θ)
y = R*sin(θ)
Here we are in the unit circle, so we have a radius equal to 1, so R = 1.
Then the exact coordinates of the point are:
(cos(θ), sin(θ))
2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.
Remember that:
tan(x) = sin(x)/cos(x)
So if sin(x) = 0, then:
tan(x) = sin(x)/cos(x) = 0/cos(x) = 0
So tan(x) is 0 in the points such that the sine function is zero.
These values are:
sin(0°) = 0
sin(180°) = 0
Then the two possible points where the tangent is zero are the ones drawn in the image below.
