Answer:
And that represent the instantaneous velocity at a given time t.
And then we just need to replace t =2 in order to find the instantaneous velocity and we got:
Step-by-step explanation:
For this case we have the position function s(t) given by:
And we can calculate the instanteneous velocity with the first derivate respect to the time, like this:
And if we take the derivate we got:
And that represent the instantaneous velocity at a given time t.
And then we just need to replace t =2 in order to find the instantaneous velocity and we got:
The question asks us to find m∠ABC. We know that ray BD is a bisector of ∠ABC. So, all we need to do now is equate the expressions of ∠ABD and ∠DBC to the expression of ∠ABC. Here is what we get from this:
Now, just solve for x. When doing so, we get the answer x = 3. Since we have the value for x, all we need to do is plug in that value to the expression for ∠ABC, which would result in 46. This means that the answer to your query is
∠ABC = 46°. Hope this helps and have a phenomenal day!
Answer:
x=7
Explanation:
-3 1/4x+25= 2 1/4x-13 1/2
25=5 1/2x-13 1/2
38 1/2=5 1/2x
7=x
( - 6, 0).(2, 0 ) , vertex = ( - 2, - 16)
to find the x-intercepts set f(x) = 0
x² + 4x - 12 = 0
(x + 6)(x - 2) = 0 ( equate each factor to zero and solve for x )
x + 6 = 0 ⇒ x = - 6
x - 2 = 0 ⇒ x = 2
x- intercepts are ( - 6, 0),(2, 0)
given the quadratic in standard form : y = ax² + bx + c
the x-coordinate of the vertex = - 
here a = 1 , b = 4 and c = - 12
x- coordinate of vertex = - 
= - 2
substitute this value into the equation for y-coordinate
x = - 2 → y = 4 - 8 - 12 = - 16
vertex = ( - 2, - 16)
Answer:
18698
Step-by-step explanation:
