Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
5
,
1
)
Focus:
(
5
,
9
8
)
Axis of Symmetry:
x
=
5
Directrix:
y
=
7
8
x
y
3
9
4
3
5
1
6
3
7
9
Answer:
Step-by-step explanation:
a) We're working with the ratio 3:1
x:500
500/1 = 500
500 * 3 = 1,500
x = 1,500
She would need to use 1,500 mL of yellow ink.
b) We're working with the ratio 2:3
x:750
750/3 = 250
250 * 2 = 500
x = 500
She would need to use 500 mL of red ink.
You can check both of these by:
(a) 1,500/500 = 3/1 = 3 : 1 which is the ratio we're working with.
(b) 500/2 = 250
750/2 = 375
250 : 375
Then, divide both 250 and 375 by 125
250/125 = 2
375/125 = 3
We are then left with the ratio 2 : 3 which is the ratio we're working with.
Answer:
0.78125 m
Step-by-step explanation:
First term of this geometric series is 50 m, and the common ratio is 1/2.
Thus, a(n) = (50 m)(1/2)^(n-1)
After the 7th bounce, the ball will reach a height of a(7) = (50 m)(1/2)^(7 - 1), or
a(7) = 50 / (2^6) m = 0.78125 m
Answer: 61 unit^2
Step-by-step explanation:
ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.
The four triangle areas:
TriD = 36
TriA = 6
TriB = 20
TriC = 9
Total area = 71 square units.
Subtract this from the rectangle's area: 132 - 71 = 61 units^2
This is the area of the shaded trapezoid.
