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.
Answer:
Is an acute angle. Acute angle should be 90 degrees
Step-by-step explanation:
Answer:
61
Step-by-step explanation:
Let's find the points
and
.
We know that the
-coordinates of both are
.
So let's first solve:

Subtract 3 on both sides:

Simplify:

I'm going to use the quadratic formula,
, to solve.
We must first compare to the quadratic equation,
.






Since the distance between the points
and
is horizontal. We know this because they share the same
.This means we just need to find the positive difference between the
-values we found for the points of
and
.
So that is, the distance between
and
is:




If we compare this to
, we should see that:
.
So
.
Answer:
x = 17
Step-by-step explanation:
These angles are supplementary so (2x + 5) + (8x = 5) = 180 then you just do the algebra
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