Answer:

Step-by-step explanation:
Given
See attachment for playground
Required
Determine the area
The playground is a trapezoid. So;

From the attachment, the parallel sides are: 68ft and 36ft
The height is: 30ft
So, the area is:




Answer:

Step-by-step explanation:
The two-point form of the equation of a line is:

We have:
x1 = 3
y1 = -2
x2 = 6
y2 = -8
Plug in all the values where they belong in the equation above.

Simplify.




Explanation:
Vertex form of a quadratic function is given by y = a(x - h)² + k
where
1) 'a' determines if parabola is stretched or compressed.
If a > 1 then graph is stretched by a factor of a.
If 0 < a < 1, then graph is compressed by a factor of a.
2) If a > 0 then graph opens upwards with a happy face. (minimum)
3) If a < 0 then graph opens downwards with a sad face. (maximum)
4) (h, k) is the vertex point
5) The axis of symmetry is x = h
While solving for y = 1(x - 4)² + 3
Identify following's:
Vertex: (h, k) = (4, 3)
Axis of symmetry: x = 4
Max/Min: As here a > 0, Minimum (4, 3)
Stretch/compression: a = 1, the graph is stretched by a factor of 1.
Direction of opening: As a > 0, the graph opens upwards.
Answer:
They spent $15.
Step-by-step explanation:
It's given that Jane bought x cookies, so 3x.
John spent $1 on each of the x cookies he got, and also an extra $10, so x+10.
3x=x+10
2x=10
x=5
So they got 5 cookies each.
5 cookies x $3= $15 (check with $5(1)+$10= $5+$10= $15 )