6 and 15 have 3 as a common factor. Thus 6:15 is 2:5. The other ratios are also the same as given in the question. Since the numbers in the second column increase in 15s, the numbers in the first row should increase in sixes (12:30 is the same as 6:15 and 2:5). Thus the answers are:
- 6:15
- 12:30
- 18:45
- 24:60
- 30:75
The answer is x=2+5i or 2-5i
B
Substitute the first number for x and see which one it is
6 x 1 - 4 = 2
The correct rectangular equivalence of 3sqrt(2)·cis(7pi/4 ) is:
3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.
<h3>Where did David go wrong?</h3>
David mistakenly interchanged the Sin function and the Cos function when he was calculating the problem.
Hence the correct rectangular equivalence is:
3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.
<h3>What is rectangular equivalence?</h3>
An equation is rectangular in form when it is comprised of Variables like X and Y and can be represented on a Cartesian Plane.
Learn more about rectangular equivalence at:
brainly.com/question/27813225
#SPJ1
Answer:
Kathleen determines the four arithmetic means to be −2.8 , 1.4, 5.6, and 9.8.
Step-by-step explanation:
The overall interval is 14 -(-7) = 21 units in length. The four equally-spaced "means" divide the interval into 5 equal parts, each one of which is ...
21/5 = 4.2
The four means are ...
-7 +4.2 = -2.8
-2.8 +4.2 = 1.4
1.4 +4.2 = 5.6
5.6 +4.2 = 9.8
