Answer:
A. 29i
Step-by-step explanation:
Step 1: Plug in given variables
(2 - 5i)(2 + 5i)i
Step 2: Difference of squares (expand)
(4 - 25i²)i
Step 3: Imaginary numbers rules
(4 - 25(-1))i
Step 4: Combine like terms
(4 + 25)i
(29)i
Your final answer will be 29i
Answer:
The regular price of the balls is $8
Step-by-step explanation:
The sporting goods store sales promotion is as follows;
The price of the third ball after buying two balls at regular price = $1.00
The price of the number of balls Coach John pays for the balls he bought = $136
To buy 24 balls, we have;
2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1
Therefore;
The number of balls bought at regular price = The sum of the 2s = 16 balls
The number of balls bought for $1 = 24 - 16 = 8 balls
Let x represent the regular price of the balls, we have;
16 × x + 8 = 136
16·x = 138 - 8 = 128
x = 128/16 = 8
The regular price of the balls = x = $8.
Answer:
y - 7 = 2(x - 1)
Step-by-step explanation:
Going from (-3, -1) to (1, 7), x increases by 4 and y by 8. These numbers are the 'run' and 'rise' of the line, respectively. Thus, the slope of the red line is m = rise/run = m = 8/4 = 2.
Using the point-slope formula and the point (1, 7), we get:
y - 7 = 2(x - 1)
Answer:
-5
Step-by-step explanation:
The real part of -5 + 3i is -5, and the imaginary part is 3.
The 7 should be one's place...?