Answer:
Step-by-step explanation:
Assuming this is a linear equation in the form of 
, we can first solve for the slope using 
, for these points, the slope would be 
. Now we plug in the points to get the equation:
plugging in (7,5), we get 
×
+ 
and solving for b, we get b = 
therefore, the equation of the line passing through (7,5) and (1,2) is .
hope this helps!
H(t) = −16t^2 + 75t + 25
g(t) = 5 + 5.2t
A)
At 2, h(t) = 111, g(t) = 15.4
At 3, h(t) = 106, g(t) = 20.6
At 4, h(t) = 69, g(t) = 25.8
At 5, h(t) = 0, g(t) = 31
The heights of both functions would have been the closest value to each other after 4 seconds, but before 5 seconds. This is when g(x) is near 30 (26-31), and the only interval that h(t) could be near 30 is between 4 and 5 seconds (as it is decreasing from 69-0).
B) The solution to the two functions is between 4 and 5 seconds, as that is when their height is the same for both g(t) and h(t). Actually the height is at 4.63 seconds, their heights are both
What this actually means is that this time and height is when the balls could collide; or they would have hit each other, given the same 3-dimensional (z-axis) coordinate in reality.
There is a video on khanacademy, search "rationalize the denominator." Then instead of getting the answer you will learn how to do it and be able to do it on other problems in the future.
Answer:
y=3x+19.
Step-by-step explanation:
1) according to the condition the line 't' is parallel to the line 's', it means, the equation of the line 't' is: y=3x+C, where C - unknown number.
2) in order to calculate the 'C', it need to substitute the given coordinates into the equation of the line 't', then:
-2=3*(-7)+C, ⇒ C=19.
3) if C=19 and the equation of the line 't' was y=3x+C, then it is possible to make up the full required equation:
y=3x+19.
Answer:
Step-by-step explanation:
BED is the same angle as AEC
CEB is 180 - 150 (AEC) =30
