When you know the area and one side of a rectangle, divide the area by the known side to find the length of the other side.
Length = 63/6
Length = 10.5 inches
Step-by-step explanation:
line 1 and 2 : parallel
as line 2 is actually
6x + 2y = 8
2y = -6x + 8
y = -3x + 4
so, they have the same slope (factor of x).
line 1 and 3 : neither
the slopes -3 and 3 are not parallel not perpendicular (90°).
line 2 and 3 : neither
as line 2 is parallel to line 1, it has the same relationship to line 3 as line 1.
Answer:
A
Step-by-step explanation:
For any point (x, y ) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y - 8 |
Squaring both sides gives
(x - 2)² + (y - 4)² = (y - 8)²
(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )
(x - 2)² = - 8y + 48
8y = - (x - 2)² + 48
y = -
(x - 2)² + 6 → A
Answers:
(sin40)/(cos40) and
(cos50)/(sin50)
Here's our equation.

We want to find out when it returns to ground level (h = 0)
To find this out, we can plug in 0 and solve for t.


So the ball will return to the ground at the positive value of

seconds.
What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!
