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
Answer:
2/3
Step-by-step explanation:
slope formula is ( y2 - y1 ) / ( x2 - x1)
so put in the values that are given to us
(5 - 3) / (-1-2)
= (2) / -3
= 2/3
3x * 3x = 9x
9x + 6 - 2x + 5x - 4x^2 + 9
9x + 6 - 7x - 4x * 4x + 9
9x + 6 - 7x - 16x + 9
9x + -7x = 2x + 6 - 16x + 9
2x + 6 - 16x + 9
2x + (-3) - 16x
-14x + (-3) is the expression?
Answer:
The height of the base if it is 2 in. Wide is 3 inches
Step-by-step explanation:
Volume of rectangular prism =
Volume of given rectangular prism =
Length of prism = 4 in
Base of prism = 2 in
Substitute the values in formula
So,
3 = Height
Hence the height of the base if it is 2 in. Wide is 3 inches