2(4z - 6 - 6) = 170 - 46
2(4z - 12) = 124 |use distributive property: a(b - c) = ab - ac
8z - 24 = 124 |add 24 to both sides
8z = 148 |divide both sides by 8
z = 18.5
374.072
Step-by-step explanation:
Use a calculator
108 divided by 3 equals 36.
I got this answer by multiplying 3 and 36, which equaled 108. Then I figured out that 108 divided by 3 equals 36!
Answer:
1∠22.5°, 1∠112.5°, 1∠202.5°, 1∠292.5°
Step-by-step explanation:
A root of a complex number can be found using Euler's identity.
<h3>Application</h3>
For some z = a·e^(ix), the n-th root is ...
z = (a^(1/n))·e^(i(x/n))
Here, we have z = i, so a = 1 and z = π/2 +2kπ.
Using r∠θ notation, this is ...
i = 1∠(90° +k·360°)
and
i^(1/4) = (1^(1/4))∠((90° +k·360°)/4)
i^(1/4) = 1∠(22.5° +k·90°)
For k = 0 to 3, we have ...
for k = 0, first root = 1∠22.5°
for k = 1, second root = 1∠112.5°
for k = 2, third root = 1∠202.5°
for k = 3, fourth root = 1∠292.5°
Mary - M
<span>Jim - J </span>
<span>Mary's ticket number is one less than Jim's ticket number. </span>
<span>J - 1 = M </span>
<span>The product of their numbers is 812 </span>
<span>M * J = 812 </span>
<span>plus first equation into 2nd </span>
<span>(J - 1) J = 812 </span>
<span>J^2 - J - 812 = 0 </span>
<span>(J - 29) (J + 28) = 0 </span>
<span>J = 29 or -28, 29 cuz you can't have negative for question. </span>
<span>J = 29 </span>
<span>plus 29 in first equation, </span>
<span>29 - 1 = M </span>
<span>28 = M </span>
<span>Mary's ticket number is 28 and Jim is 29</span>
