Answer:
The constant of proportionality is 2.
Step-by-step explanation:
All the y values are twice as much as the corresponding x values
We have the following function:
h (t) = - at ^ 2 + bt + c
h- intercept:
Occurs when t = 0:
h (0) = - a (0) ^ 2 + b (0) + c
h (0) = c
The value of c influences in this case: changes the value of h (0)<span>
Maximum value of h:
h '(t) = - 2at + b
0 = -2at + b
t = (b) / (2a)
Then, the maximum is:
h ((b) / (2a)) = - a ((b) / (2a)) ^ 2 + b ((b) / (2a)) + c
The value of c influences in this case: changes the value of the maximum height
t- intercept:
Occurs when h (t) = 0
-at ^ 2 + bt + c = 0
The value of c influences in this case: change the polynomial.
Answer:
The alteration has an effect on:
<span>K. I, II and III</span></span>
Based on how the triangle looks and the directions given, you know that this is a right triangle.
You can use the Pythagorean Theorem, which is a^2 + b^2 = c^2, with c being the hypotenuse. If you plug in the values, you get
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
√100 = √c^2
c = 10
This means that Robert traveled 10 kilometers on the way back home, HOWEVER, it asks for the round trip distance. He traveled 14 km on the way there and 10 km on the way back, which means the round trip distance is 24 km.
I hope this makes sense!
Answer:
B
Step-by-step explanation:
A is false. 0 + 1 - 2 = -1, not 0.
B is true.
(-2)-(-2) +0
= -2 + 2 + 0
= 0
C is false, since B is true.