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"
The average would be 148,600,000 or 148.6 million
Answer:
y= -12x - 42
Step-by-step explanation:
slope intercept form is y=mx +b
y-6 = -12(x+4) simplify
y - 6 = -12x - 48 separate y by adding 6 to both sides of the equation
y = -12x - 42
Answer:
Step-by-step explanation:
Rule defining the reflection across the line x = -2 has been given as,
Line x = -2 will work as a mirror for the given triangle J, K, L.
That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,
Vertices of the image triangle J'K'L' will be,
J' → (-5, 2)
K' → (-3, 2)
L' → (-4, 1)
Answer:
P425
Step-by-step explanation:
Given data
We are given that the family exchanged
$250 for P4250
the rate is
$250 for P4250
$1 will be x
x= 4250/250
x= P17
the pesos equivalent of $25 will be
= 25*17
= P425
