Answer:
-6
Step-by-step explanation:
The y-intercept of a line is the point on the y-axis that is contained in the line. It is the point of intersection of the line and the y-axis.
Every point on the y-axis has coordinates (0, y), where y can be any real number. The x-coordinate of all points on the y-axis is 0. Since you are told your line goes through point (0, -6), then you know that that point is the y-intercept.
The y-intercept is -6.
Answer:
The object will reach its highest point 0.5 seconds after it has been thrown.
Step-by-step explanation:
The object reaches its maximum height when velocity is equal to zero, the velocity is the derivative of function height. That is:
(1)
Where 
is the velocity of the object at time 
, in feet per seconds.
If we know that 
and 
, then the time when object reaches its highest point is:
The object will reach its highest point 0.5 seconds after it has been thrown.
The unit vector is given by the following formula:
a '= (a) / (lal)
Where,
a: vector a
lal: Vector module a
We are looking for the module:
lal = root ((- 15) ^ 2 + (8) ^ 2)
lal = 17
Same direction:
a = -15i + 8j
The unit vector is:
a '= (1/17) * (- 15i + 8j)
Opposite direction:
a = 15i - 8j
The unit vector is:
a '= (1/17) * (15i - 8j)
Answer:
a unit vector that has the same direction as the vector a is:
a '= (1/17) * (- 15i + 8j)
a unit vector that has the opposite direction of the vector a is:
a '= (1/17) * (15i - 8j)
Answer:
2-sqrt14/2, 2+sqrt13/2.
Step-by-step explanation:
What you do is you have to do the quadratic equation like it says in the problem.
x= −b± sqrtb^2 −4ac
/2a
.
a=-2, b=4, c=5.
x=-4±sqrt(4)^2-4(-2)(5)/2(-2).
x=-4±sqrt16+40/-4.
x=-4±2sqrt14/-2.
2-sqrt14/2, 2+sqrt13/2. is your answer once you have done everything.
ANSWER
F (2,3)
EXPLANATION
The coordinates are ordered pairs.
So the x-coordinate comes first and the y-coordinate second.
In other words the coordinate on the horizontal axis comes first and that of the vertical axis comes second.
The coordinates of the ranger station are:
(2,3),(2,4),(3,3),(3,4)
The correct choice is F.
