Y - y₁ = m(x - x₁)
y - 6 = 7(x - (-4))
y - 6 = 7(x + 4)
y - 6 = 7(x) + 7(4)
y - 6 = 7x + 28
<u> + 6 + 6</u>
y = 7x + 34
Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
Answer: it would cost a total of $194
Step-by-step explanation:
A ticket to a movie theatre for a student is $7. The cost for an adult is $2 more than for a student.
If student ticket costs $x, adult ticket would cost x + 2
This means that the cost for an adult is
7 + 2 = $9
The cost of 13 adult tickets to the movie theatre would be
13 × 9 = $117.
The cost of 11 student tickets to the movie theatre would be
11 × 7 = $77
Total cost of 13 adult tickets and 11 student tickets would be
117 + 77 = $194
32 players = 16 matches ( 32/2)
16 players = 8 matches ( 16/2)
8 players = 4 matches (8/2)
4 players = 2 matches ( 4/2)
2 players = 1 match
16 + 8 +4 +2 +1 = 31 matches
Check the picture below. You can pretty much just count the units off the grid.
