Answer:
y+3=45(x+5)
Step-by-step explanation:
Hi there!
Point-Slope Form:
y-y1=m(x-x1)
Where
y1 stands for the y-coordinate of the point
m stands for the slope of the line
x1 stands for the x-coordinate of the point
In this case, the slope is 45, the y-coordinate of the given point is -3, and the x-coordinate of the point is -5.
Plug in the values and solve:
y-y1=m(x-x1)
y-(-3)=45(x-(-5)
y+3=45(x+5)
Hope it helps!
Enjoy your day!
Please feel free to ask if you have any doubts.

Answer:

Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if
and
vary inversely, their product will be the same for all values of
and
.
Let
and
as given in the problem. Substitute values:

Hence, the maintained product is
.
Thus, we have the following equation:

Substitute
to find the value of
when
:

Answer:
6.1
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) * h where b1 and b2 are the lengths of the bases
108.6 = 1/2 ( 12+p) *12
108.6 = 6 (12+p)
Divide each side by 6
108.6 /6 = 12+p
18.1 = 12+p
Subtract 12 from each side
18.1-12 = 12+p-12
6.1 = p
Answer:
a) No. t < 0 is not part of the useful domain of the function
b) 2.0 seconds
Step-by-step explanation:
a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.
__
b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.
h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0
0 = -4(4t² -7t -2) = -4(4t +1)(t -2)
This has t-intercepts where the factors are zero, at t=-1/4 and t=2.
The ball will hit the ground after 2 seconds.