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
Whats not affected by the
others outcome
I do not agree. This is because when the dog was a puppy, she was 370 grams not kilograms. Diego's mistake was mistaking grams for kilograms.
Answer:
22
Step-by-step explanation:
ST is y and SU is 2y-4.
Note that SU = ST + TU = y + 18
So we have 2y - 4 = y + 18
2y - 4 = y + 18
2y = y + 22
y = 22
So ST is 22.
:)
Answer:
x = 9.5
Step-by-step explanation:
Given
= 
( cross- multiply )
3(4x - 6) = 4(2x + 5) ← distribute parenthesis on both sides
12x - 18 = 8x + 20 ( subtract 8x from both sides )
4x - 18 = 20 ( add 18 to both sides )
4x = 38 ( divide both sides by 4 )
x = 
= 9.5
