Multiply the numerator and denominator by 4+5i
=[(2+3i)(4+5i)]/[(4-5i)(4+5i)]
=[(8-15)+(12+10)i] / [16+25] <span>= [ -7 + 22i ] / [41]
= (-7/41) + (22/41)i </span>
Answer:
Michael worked 4 hours and Landon worked 10 hours.
Step-by-step explanation:
Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:
40x+20y=360
40x+20y=360
Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.
x+y=14
Write System of Equations:
40x+20y= 360
x+y=14
Solve for y in each equation:
40x+20y = 360 x+y = 14 20y = -40x+360
=
y = -2x+18
Answer:
64 gallons
Step-by-step explanation:
Ask yourself; if
16gallons = 1minute
? = 4minutes
Cross multiply;
(16 × 4) ÷ (1) = 64
Answer:
C
Step-by-step explanation:
Using sum/difference to product identity
• sin x - sin y = 2 cos(
) sin (
)
with x = 4Θ and y = 2Θ
Then
sin(4Θ) - sin(2Θ)
= 2 cos(
) sin(
)
= 2cos(3Θ)sinΘ → C
Answer:
The number that would go in the blank to get a perfect square trinomial is 18
Step-by-step explanation:
The middle term can always be found by taking twice of the square root of the final term.
2 * √81 = 18