Answer:
- 20 + 8i
Step-by-step explanation:
Noting that i² = - 1
Given
[(6i + 9) + (4i - 5)] × 2i ← evaluate the terms inside the square bracket
= ( 6i + 9 + 4i - 5 ) × 2i
= (10i + 4) × 2i ← multiply each term in the parenthesis by 2i
= 20i² + 8i
= 20(- 1) + 8i
= - 20 + 8i
Answer:
21x+53
Step-by-step explanation:
B and C; as the y intercept increases/decreases, the graph of the line shifts up/down.
The y intercept is where the function crosses the y-axis. If the y intercept moves either up or down, the whole function will be translated up/down vertically along the y-axis.
The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .
We start with the relation between ratio of surface area and ratio of corresponding sides. That is

Here x and y are the corresponding sides .

Let the volume of the smaller one be v


So for the smaller solid, volume is 272 . And the correct option is the first option .
Answer:
84 feet of ribbon is needed
Step-by-step explanation:
Given : Ribbon is sold by the foot. If Heather is making 84 bows, how many feet of ribbon must she buy?
Explanation : If ribbon is sold by the foot, then if Heather is making 84 bows, then Heather would need 84 feet
To put in simple terms - 1 bow needs 1 foot of ribbon