Answer:
Here,
First Find distance between them by using formula √+x2-x1)2+(y2-y1)2
Then use the equation and then find locus.
Answer: 15 oatmeal cookies.
Step-by-step explanation:
There were 25 cookies baked.
Out of these, 3/5 are oatmeal cookies.
The amount of actual oatmeal cookies is:
= fraction of oatmeal cookies * total number of cookies
= 3/5 * 25
= 75 / 5
= 15 oatmeal cookies.
Answer:
Step-by-step explanation:
Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.
When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.
Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?
What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!
Putting all of this together gives us:
z = |mag|*(cos(angle) + isin(angle))
= 2*cos(270°) + isin(270°)).
To verify, let's consider what cos(270°) and sin(270°) are.
If you graph cos(x) and look at 270°, you get 0.
If you graph sin(x) and look at 270°, you get -1.
So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.
Answer:
Step-by-step explanation:
for 1st week=1 ¢
for 2nd week= 2¢
for 3rd week= 4¢
for 4th week=8¢
for 5th week=16¢
for 6th week=32¢
for 7th week=64¢
for 8th week=64+64=128¢
for 9th week= 128+128=256¢
for 10th week= 256+256=512¢
.: he saved a total of
1+2+4+8+16+32+64+128+256+512=1023¢
1023¢=1023/100=$10.23
