It was 210 cm.
The function she used is h(t) = 210 + 33t. This is a linear function, since it is of the form f(x) = mx+b. In a linear function, we have the slope, m, which tells us how much the height increases per year, and the y-intercept, b, which tells us how tall it was when we began measuring. Our m value would be 33 and our b would be 210, so the original height was 210.
She is correct
Slope:3
Y-intercept:0,4
Answer:
f(- 3) = - 5
Step-by-step explanation:
Given the point (- 3, - 5)
where x = - 3 is the input and y = - 5 is the output
The function can be represented by
y = f(x), that is
f(- 3) = - 5
Answer:
C
Step-by-step explanation:
Both segments AC and BC intersect at point C. Hence, the angle included by them will be angle C.
Answer:
; line D in the options.
Step-by-step explanation:
The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!
The condition 
makes sure you are still getting lines (else you would get rid of both x and y); the condition 
makes sure you're not picking line A again, just written in a different form.
Now that we have the options:
A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.
Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.
Line D is correct.
