Answer:
-311.74
Step-by-step explanation:
Since you didn’t specify that it needed to be y as a function of x, all of the above equalities can be rewritten as functions. However, in case that you meant to imply that, A and B are both not valid for y as a simple function of x.
Answer:
14) t=2hours
15)a=5/4
Step-by-step explanation:
14) The graph of y = -0.5 l t l is an inverted "V-shaped" graph with highest point when t = 0 and y = 0.
To obtain the graph of r = -0.5 l t - 1 l + 0.5, translate the graph of y = -0.5 l t l one unit to the right and 0.5 units upward. The highest point on this graph occurs when t = 1 and r = 0.5.
Maximum rate of rainfall = 0.5 inches/hr
The rain stops when r = 0. So, -0.5 l t - 1 l + 0.5 = 0
l t - 1 l = 1
t - 1 = 1 or t - 1 = -1
t = 2 or t = 0
t > 0, so the rain stops when t = 2 hours
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
4) into the equation and solve for a.
y = a ⎜x - 6⎟
_5
4 = a ⎜5 - 6⎟
_5
4 = a ⎜-1⎟
_5
4 = a
An equation for the path of the ball is y =
_5
4
⎜x − 6⎟.
Answer: 56
Step-by-step explanation:
The perimeter is just adding up all of the sides and we know an octagon has 8 sides, so you can just do 8 by 7 which is 56.
Answer:
D. x² + y² = 4²
Step-by-step explanation:
The general equation of a circle is given in the attached graphic.
In this case, we can see that the center of the circle is at the origin i.e (0,0) and that the radius is 4 units.
the values for h, k and r in the general equation are as follows:
h = 0, k=0, r = 4
putting this into the general equation:
(x-h)² + (y-k)² = r²
(x-0)² + (y-0)² = 4²
x² + y² = 4²
