Answer:
a) 7 + 5i
b) 1 + 24i
a) 34 + i
b) -156 + 12i
Step-by-step explanation:
a) (5 + 8i) + (2 - 3i)
Add real parts ⇒ 5 + 2 = 7
Add imaginary parts ⇒ 8i + -3i = 5i
∴ (5 + 8i) + (2 - 3I) = 7 + 5i
b) (-3 + 12i) + (4 + 12i)
Add real parts ⇒ -3 + 4 = 1
Add imaginary parts ⇒ 12i + 12i = 24i
∴ (-3 + 12i) + (4 + 12I) = 1 + 24i
Products:
a) (5 + 8i)(2 - 3i)
= 10 - 15i + 16i - 24i² ⇒ (i² = -1)
= 10 + i - 24(-1) = 10 + i + 24
= 34 + i
b) (-3 + 12i)(4 + 12i)
= -12 - 36i + 48i + 144i² ⇒ (i² = -1)
= -12 + 12i + 144(-1) = -12 + 12i - 144
= -156 + 12i
Answer:
y = 6x
Step-by-step explanation:
if its $6 per person, each new person is gonna chagre $6
Answer:
the product of 2(3/4) is the same as (3/2) and then the product of 1(3/5) remains the same
therefore, (3/2)×(3/5) = (9/10)
<h2>thanks</h2>
Answer:
Step-by-step explanation:
Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is
J + M = 230. The second equation is
J + K = 130. The third equation is
M = 3K. Sub that 3K into the first equation and get
J + 3K = 230. Now take th second equation and solve it for J:
J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:
130 - K + 3K = 230 and
2K = 100 so
K = 50
Kevin has $50
Answer:
<u>5</u>
4x^11*y^6
In words:
5 over 4x to the 11th power times y to the 6 power.
Step-by-step explanation:
simplify from original to this:
<u>5x^9*y^6</u>
4x^20*y^12
=
<u>5y^6</u>
4x^11*y^12
=
<u>5</u>
4x^11*y^6