Multiply both the top and the bottom by (4-3i) to eliminate i in the denominator:
10(4-3i)/(4+3i)(4-3i)=(40-30i)/[4²-(3i)²]=(40-30i)/25
reduce: (8-6i)/5
a=8, b=5, c=6, d=5
Answer:
x = -2 ±sqrt( 10)
Step-by-step explanation:
x^2 + 4x = 6
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 =4
Add this to each side
x^2 + 4x+4 = 6+4
Take the 4/2 term which is the factor inside the (x+ )^2
(x+2)^2 = 10
Take the square root of each side
sqrt((x+2)^2) =±sqrt( 10)
x+2 = ±sqrt( 10)
Subtract 2 from each side
x+2-2 = -2±sqrt( 10)
x = -2 ±sqrt( 10)
Answer:
What grade math is this??
Step-by-step explanation:
We will use the Pythagorean theorem:
H² = S² - R²
H² = 5² - 3² = 25 - 9 = 16
H = √16
H = 4
The volume:
V = ( π R² H ) / 3 = ( 3² · 4 ) π / 3 = 12 π ≈ 37.68
Answer:
-1.75, -1 1/2, -3/4, 1/4, 0.75
Step-by-step explanation:
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