Answer:
Step-by-step explanation:
So the sign means that y has to be less than or equal to x plus 9
if you wanted an answer an example could be
y = 1
x = 10
this works because if implemented into the equation
1 ≤ 10 + 9 which is true
Answer:
The y-intercept of the line is 2
Step-by-step explanation:
You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax
But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.
(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?
Just extrapolate the table to the left, and you will find the y value where x = 0
x 0 8 16 24 32
y 2 22 44 64 84
So the y-intercept of the line is 2.
Extra:
The full equation of the line is:
y = 8/20x + 2
Answer:
Step-by-step explanation:
The tangent to the angle makes an angle of 90° with the radius.
The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.
By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore
x = 60-30 = 30°.
The first answer is correct because the terms are alike in both expressions
Absolute value means the distance from 0.
|-0.45| =0.45
|-0.0045|=0.0045
0.45>0.0045
So
|-0.45|>|-0.0045|