The center of the clock is taken as the origin.The clock is a circle with a diameter 10 units.Radius is half the diameter .Radius = 10 ÷2= 5 units.
The clock is divided in four quadrants .On x axis y=0 and on y axis x=0.
When it is 12 o'clock the hour hand is on positive of y axis.Coordinates of the point at 12 o'clock=(0,5)
When it is 3 o 'clock the hour hand is on positive of x axis .Coordinate of the point at 3o'clock is (5,0)
When it is 6 o'clock the hour hand is on negative of y axis .The coordinates of the point at 6o'clock is (0,-5)
At 9o'clock the hour hand is on negative of x axis .The coordinate of the point at 6o'clock is(-5,0)
Answer:
Child tickets are 97
Step-by-step explanation:
x + y = 175 ...............(1)
x = 175 - y
5.90x + 9.10y = 1282.10. .........(2)
5.90 (175 - y) + 9.10y = 1282.10
1032.50 - 5.9y + 9.10y = 1282.10
3.2y = 249.60
y = 249.6. / 3.2
y = 78
From equation 1
x + y = 175
x + 78 = 175
x = 175 - 78
x = 97
1 cup = 8 ounces
3/4 cup = 8*(3/4)
3/4 cup = 6 ounces
She will add 6 ounces of water as it is equivlent to a 3/4 cup
Answer:
f(x) = -√(x-4) + 2
Step-by-step explanation:
(a) Start with the basic function: f(x) = √x.
This would be the top half of a horizontal parabola opening to the right (always positive).
(b) The range is y < 2. This includes negative numbers, so the function must be f(x) = -√x.
(c) The function starts at x = -4. We must shift it four units to the left. We do that by adding four units to x. The function must be f(x) = -√(x + 4). The domain is x > -4.
(d) The function starts at y = 2. We must shift it up two units. We do that by adding two units to y. The function must be f(x) = -√(x+4) + 2. The range is y < 2.
The figure below is the graph of f(x) = -√(x+4) + 2.
