Answer:
x = 4 and y = - 5
Step-by-step explanation:
note that the product of a complex number and it's conjugate is real
That is
(a + bi)(a - bi) where a, b are real
= a² - abi + abi - b²i²
= a² + b² ← a real number
For (4 + 5i)(x + yi) to be real
we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i
(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5
Step-by-step explanation:
y > -15
y is bigger than -15
= -14 , -13 , -12 , -11 , -10 , etc . . .
The submarine is 68 feet below sea level, which is -68
Answer:
<em>The cost of 15 potatoes is $7.50</em>
Step-by-step explanation:
The potatoes are sold at a rate of $0.5 per potato.
1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.
Amanda can buy at most 10 potatoes
2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:
15 * $0.5 = $7.50
The cost of 15 potatoes is $7.50
Answer:
M(5,2)
Step-by-step explanation:
We use the midpoint rule:
We just have to find the arithmetic mean of the x and y-coordinates.
The endpoints of CD are given as C(3,−5) and D(7, 9).
We substitute these values to get:
Therefore the coordinates of the midpoint M of CD are (5,2)
