Answer:
The area of the triangle is 
Step-by-step explanation:
Given:
Coordinates D (0, 0), E (1, 1)
Angle ∠DEF = 60°
△DEF is a Right triangle
To Find:
The area of the triangle
Solution:
The area of the triangle is = 
Here the base is Distance between D and E
calculation the distance using the distance formula, we get
DE = 
DE =
DE = 
DE = 
Base =
Height is DF
DF =
DF = 
DF = 
Now, the area of the triangle is
= 
=
=
=
Answer:
d+d+d=ddd
Step-by-step explanation:
Answer:
Step-by-step explanation:
Key features
when t = 0
the initial height is 143/3 = 47⅔ ft
initial velocity is -310/3 = -103⅓ ft/s (downward)
initial acceleration is 2(64) = 128 ft/s² (upward)
I would not like to ride this roller coaster!
that's about four times the acceleration of gravity, and it only increases as the car gets to the bottom of the curve at t = 1 s
For part 3
I'm not sure what they mean by "not realistic"
while the initial acceleration is high. the acceleration at t = 1 is zero except that in 'reality' the car would have to be going through a curve to change direction from down to up. That would create very high centripetal acceleration and therefore centripetal forces.
Yes, unless you are solving an equation with two negatives.
Answer:
Step-by-step explanation:
We can complete the squares of the x- and y-terms by adding the square of half the linear term coefficient.
(x^2 +4x) +(y^2 -10y) = 7
(x^2 +4x +4) +(y^2 -10x +25) = 7 + 4 + 25
(x +2)^2 +(y -5)^2 = 6^2
Compare to ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . standard form equation of a circle
We see that the center is ...
(h, k) = (-2, 5)
and the radius is ...
r = 6
