Answer:
-1
Step-by-step explanation:
g(x)=0-1=-1
Answer:
Step-by-step explanation:
Hi there!
The two angles given are opposite angles, meaning that they are angles opposite of each other at an intersection.
Opposite angles are always equal:
Combine like terms:
Divide both sides by 6 to isolate <em>x</em>:
I hope this helps!
Answer:no
Step-by-step explanation: No, because all the ratios of y to x are not equal.
Answer:
11 hope it helps :)
Step-by-step explanation:
You have to estimate the slope of the tangent line to the graph at <em>t</em> = 10 s. To do that, you can use points on the graph very close to <em>t</em> = 10 s, essentially applying the mean value theorem.
The MVT says that for some time <em>t</em> between two fixed instances <em>a</em> and <em>b</em>, one can guarantee that the slope of the secant line through (<em>a</em>, <em>v(a)</em> ) and (<em>b</em>, <em>v(b)</em> ) is equal to the slope of the tangent line through <em>t</em>. In this case, this would be saying that the <em>instantaneous</em> acceleration at <em>t</em> = 10 s is approximately equal to the <em>average</em> acceleration over some interval surrounding <em>t</em> = 10 s. The smaller the interval, the better the approximation.
For instance, the plot suggests that the velocity at <em>t</em> = 9 s is nearly 45 m/s, while the velocity at <em>t</em> = 11 s is nearly 47 m/s. Then the average acceleration over this interval is
(47 m/s - 45 m/s) / (11 s - 9 s) = (2 m/s) / (2 s) = 1 m/s²
