Assume
if |a|=b
a=b and -a=b
so
9|9-8x|=2x+3
divide both sides by 9
|9-8x|=2/9x+1/3
assume
9-8x=2/9x+1/3 and
-9+8x=2/9x+1/3
9-8x=2/9x+1/3
times 9 both sides
81-72x=2x+3
add 72x both sides
81=74x+3
minus 3
78=74x
divide both sides by 74
39/37=x
other one
-9+8x=2/9x+1/3
multiply both sides by 9
-81+72x=2x+3
minus 2x both sides
-81+70x=3
add 81 to both sides
70x=84
divide boh sides by 70
x=6/5
x=39/37 and 6/5
check
9|9-8(39/37)|=2(39/37)+3
2646/37=189/37
false
9|9-8(6/5)|=2(6/5)+3
351/5=27/5
false
no soltion evidently, weird
There is a typo in the available options for this problem. BOTH options B and E are 3/25+4/25i. One of those options should be 3/25-4/25i. So check your problem carefully and be sure to select the correct answer.
1. D. 1 + 0i
2. A. -7/25 + 24/25i
3. B or E, 3/25 + 4/25i
4. F. 3-4i
5. B or E, 3/25 - 4/25i
6. C. -7/25 -24/25i
For this problem, you need to perform complex division, then select the matching answer from the available options. In order to perform a complex division, simply multiply the numerator and denominator by the conjugate of the denominator. The conjugate of the denominator is simply the denominator with the sign of the complex term inverted. So:
1. i/i
Let's rewrite as (0 + i)/(0 + i)
(0 + i)/(0+i) * (0 - i)/(0 - i)
= (0*0 + 0*i - 0*i - i^2)/(0*0 + 0*i - 0*i - i^2)
= (0 - -1)/(0 - -1)
= 1/1
= 1 + 0i which is option "D"
2. 3+4i/3-4i
3+4i/3-4i * 3+4i/3+4i
= (9 + 12i + 12i + 16i^2) / (9 - 12i + 12i - 16i^2)
= (-7 + 24i) / 25
= -7/25 + 24/25i, which matches option "A"
3. 1/3-4i
1/3-4i * 3+4i/3+4i
= (3 + 4i)/(9 + 12i - 12i - 16i^2)
= (3 + 4i)/(9 - -16)
= (3 + 4i)/25
= 3/25 + 4/25i, which matches option "B" or "E". BE SURE TO SELECT THE
CORRECT OPTION. You want 3/24 PLUS 4/25i.
4. 3-4i/1
3-4i/1 * 1/1 = 3-4i, which matches option "F"
5. 1/3+4i
1/3+4i * 3-4i/3-4i
= 3-4i/(9 + 12i - 12i - 16i^2)
= 3-4i/25
= 3/25 - 4/25i, which matches option "B" or "E". BE SURE TO SELECT THE
CORRECT OPTION. You want 3/24 MINUS 4/25i.
6. 3-4i/3+4i
3-4i/3+4i * 3-4i/3-4i
= (9 - 12i - 12i + 16i^2) / (9 - 12i + 12i - 16i^2)
= (9 - 12i - 12i + -16) / (9 - 12i + 12i - -16)
= (-7 - 24i) / 25
= -7/25 -24/25i, which matches option "C"
Answer:the harleyquin costume would cost 40 $
Step-by-step explanation: as given the batman costume costs 20$. so 20 times 2 equals 40$.
20*2= 40$
Answer:
2
Step-by-step explanation: the rise is 2 and the run is 1 and its rise over run so 2/1 and that equals 2
Answer: The extra-size chart
- 5 basketball
- 3 footballs
- 5 running
- 3 jogging
- 4 jumping jacks
- 5 sit up
Step-by-step explanation:
