Answer:
3:4:7
Step-by-step explanation:
2/7 is apple juice
1/2 is orange juice
2/7 + 1/2=4/14+7/14=11/14
14/14 - 11/14=3/14
3/14 is cranberry juice
4/14 is apple juice
7/14 is orange juice
the ratio is 3/14 to 4/14 to 7/14
the ratio simplified is 3:4:7
Answer:
Option B. Pentagonal prism
Step-by-step explanation:
Option (A). Cube
Base of a cube is a square.
Option (B). Pentagonal prism
A prism is always defined by its base.
Example: triangular prism, rectangular prism
Therefore, pentagonal prism will have a base in the shape of a pentagon.
Option (C). Triangular prism
Triangular prism will have a triangular base.
Option (D). Rectangular prism
Rectangular prism will have a rectangular base.
Answer:
line B'C' = 1
m<C'D'A' = 90 degrees (it is still a rectangle)
Step-by-step explanation:
Dilation of coordinates:
Original: d:(3,2), a:(3,4), b:(7,4), c:(7,2)
Divide all numbers by 2.
Altered: d:(1.5,1), a:(1.5,2), b:(3.5,2), c:(3.5,1)
Answer:
-1, 6
Step-by-step explanation:
x + y = 5
xy = -6
Take first equation and rewrite it. y = -x + 5
Then substitute the new equation in the second one.
x(-x + 5) = -6
-x^2 + 5x + 6 = 0
Divide by -1
x^2 - 5x - 6
(x + 1)(x - 6) = 0
x = -1, 6
