Answer:
Option A: −5+i
Step-by-step explanation:
In the complex plane, the real part of the number is expressed in the horizontal axis, and the imaginary part is expressed in the vertical axis. So, to find the distance of a point to the origin, we just need to apply the distance formula with the second point being (0,0):
A. −5+i
real part: -5
imaginary part: 1
distance to origin: D = sqrt((-5)^2 + 1^2) = 5.099
B. −2+4i
real part: -2
imaginary part: 4
distance to origin: D = sqrt((-2)^2 + 4^2) = 4.4721
C. 3 + 3i
real part: 3
imaginary part: 3
distance to origin: D = sqrt(3^2 + 3^2) = 4.2426
D. 4 + 3i
real part: 4
imaginary part: 3
distance to origin: D = sqrt(4^2 + 3^2) = 5
So the farthest point from the origin is point A: −5+i
Answer:
I have graphed them on desmos and given you three options to choose from:
Step-by-step explanation:
1. with lines (complete shape)
2. with lines (incomplete shape)
3. without lines
Hope this helps!
<span>12 edges and 8 vertices, so 12:8 or 3:2
Hope this helps!</span>
Answer:
H0: mu = 100
Ha: mu > 100
It is preferable to use this Ha than mu < 100 because it meets the specifications.
Step-by-step explanation:
It is preferable to use mu > 100 as the alternate hypothesis than mu < 100 because the specifications state that mean strength of welds should exceed 100 lb/in^2.
Exceed is expressed using the inequality, greater than.
Therefore, the alternate hypothesis should be expressed using greater than.
Answer:
8113/1000
Step-by-step explanation: