Answer:
The complex number is 0+i/3.
Step-by-step explanation:
Let the imaginary part be x.
The complex number will be a+xi
Given:
real part =a
(a+xi)*3=i...............(i)
To find:
imaginary part
Solution:
3a + 3xi=i.............(ii)
Comparing real and imaginary parts of eq(ii).
3a=0 and 3x=1
a=0
x=1/3.
<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)
Answer:
18.75
Step-by-step explanation:
75/4=18.75
Hi there
Part a
49.98−49.98×0.5
=24.99
Part b
49.98−10
=39.98
Hope it helps
<span>import math
def calculateDistance(x1,y1,x2,y2):
dist = math.sqrt((x2 - x1)**2 + (y2 - y1)**2)
return dist
distance = calculateDistance(2,4,6,8)
print distance</span>
