Answer:so the standard form is y = mx + b
m is the slope (rise/run)
b is the y-intercept or where the slope intercepts the y-axis
so you end up with
k = (4/-2)j + 24
simplify this to
k = -2j + 24
Step-by-step explanation:
Answer:
After 22 seconds the projectile reach its maximum height of 4,840 units
Step-by-step explanation:
we have

This is a vertical parabola downward (because the leading coefficient is negative)
The vertex is a maximum
Find out the coordinates of the vertex
Convert the quadratic equation in vertex form
Factor -10

Complete the square


Rewrite as perfect squares

The vertex is the point (22,4,840)
therefore
After 22 seconds the projectile reach its maximum height of 4,840 units
Answer:
3
Step-by-step explanation:
I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.
In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.
Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.
Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.
That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.
Hope this helps :)
Answer:
B
Step-by-step explanation:
Two events A and B are called independent, when

where
is the probability that B occurs given that A has already occurred.
A = randomly selected person is a student
B = randomly selected person prefer "Vikings"
B|A = randomly selected student prefer "Vikings"
Probabilities:

Since

we can state that events are not independent.
Answer:
I think the answer is 180 degree angle