Answer:
Step-by-step explanation:
The motion of the dolphin is quadratic
i.e y=-16t²+20t
To get the maximum height the dolphin will reach
We need to find the point of inflexion. i.e dy/dt=0
dy/dt=-32t+20
Then set dy/dt=0
0=-32t+20
Then, -32t=-20
t=0.625
Let find d²y/dt²
d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach
Then substitute t=0.625 into y
y=-16t²+20t
y=-16(0.625)²+20(0.625)
y=6.25ft
Then the maximum height the dolphin can reach is 6.25ft
Using discriminant
Formular method
y=-16t²+20t
So the dog height y<7
y=-16t²+20t <7
-16t²+20t-7<0
a=-16, b= 20. c=-7
t=(-b±√b²-4ac)/2a
Using the a, b and c direct for the discriminant
D=b²-4ac
D=20²-4×-16×-7
D=-48
Which is a complex number
Then the dolphin can reach the height
Then we need to model the D to be greater than 0
Therefore,
D>0
b²-4ac>0
We cannot do anything to a and b it is already given
a=-16, b=20
(20)²-4(-16c)>0
400+64c>0
64c>-400
Then
c>-6.25
Divide both side by - and the inequality sign will change
Therefore -c<6.25
So the dog height y<6.25
y=-16t²+20t <6.25
Therefore the maximum height is 6.25.
If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .
Answer:
The answer is C. Rounding to the nearest whole number.
Step-by-step explanation:
Please mark me brainliest
Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
Answer: (1, -5)
x = 1
y = -5
*Hope this helps, enjoy the rest of your day! ♥️*
