Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= - 
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
= - 
= - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
Answer:
your answer is 7 for this problem
Answer:
Phone B
Step-by-step explanation:
It is around the same cost as Phone C, but has unlimited data (which means unlimited gigs)
If P has Cartesian coordinates (7, pi/3), then its Polar coordinates are (square root of ((7)^2 + (pi/3)^2) , arcton (pi/21))
<u>Explanation</u>:
The given coordinates (
7
, π
/3
) look as if they are already in polar form (radius = 7
, and angle = π/3).
but in case (
7
, π
/3
) really are Cartesian coordinates (i.e. (
x
,
y
) =
(
7
, π/3
)
)
The radius is given by √(
x /2 + y/
2) and the angle by the arctan (
y
,x
).
Answer: 1 hour
Step-by-step explanation:
Let distance1 = x km
Distance2 = 144 - x
Speed S1 = 63 kph
Speed S2 = 81 kph
Time = Distance / Speed
When the jets pass each other
(144-x) / 81 = x/63
63(144-x) = 81x
9072 - 63x = 81x
x = 9072 / 144
x = 63 km
Time = 63/63 = 1 hour
