Answer:
Step-by-step explanation:
think of the flight of a small rocket.. what does it seem like the parabola would look like? down means it looks like a cup or glass , upside down , up mean a cup or glass right side up.
when t = 0 the rocket is at 25, so that's the initial height
it's velocity is initially 200 m/s
put equation from std. form to vertex form
y = a
+ bx +c => y = a(x - h ) ^2 + k
h = -4.9
+ 200t + 25 =>h = -4.9(t - 20.41)^2 + 2,065.82
(h,k) = (20.41 , 2065.82)
Answer:
24 x 4 = k x 4
Step-by-step explanation:
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
Given:
A plane is normal to the vector = -2i+5j+k
It contains the point (-10,7,5).
To find:
The component equation of the plane.
Solution:
The equation of plane is
Where, 
is the point on the plane and 
is normal vector.
Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is
Therefore, the equation of the plane is .
