Mathematics
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OpenStudy (anonymous):
Which of the following is the conjugate of a complex number with 2 as the real part and -8 as the imaginary part?
-2 + 8i
2 + 8i
2 - 8i
-2 - 8i
11 years ago
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OpenStudy (anonymous):
@ganeshie8 2-8i?
11 years ago
ganeshie8 (ganeshie8):
thats your original given complex number
not the conjugate
11 years ago
OpenStudy (anonymous):
then would it be 2+8i?
11 years ago
ganeshie8 (ganeshie8):
yes! for conjugate you just flip the sign of imaginary part
11 years ago
OpenStudy (anonymous):
can you check 2 more for me :D?
11 years ago
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OpenStudy (anonymous):
What is the equation in point-slope form of the line passing through (-3, -4) and (0, 2)?
(y - 8) = 2(x - 3)
(y + 3) = -2(x + 4)
(y - 2) = -2(x + 4)
(y + 4) = 2(x + 3)
11 years ago
OpenStudy (anonymous):
i get y=2x+2
11 years ago
ganeshie8 (ganeshie8):
thats right, but they just want the point slope form
11 years ago
ganeshie8 (ganeshie8):
did you get slope = `2` ?
11 years ago
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OpenStudy (anonymous):
yes
11 years ago
ganeshie8 (ganeshie8):
very good, next pick a point and plug them in the point-slope formula
11 years ago
OpenStudy (uri):
y-y1=mx(x-x1)
m=2
y1=-4
x1=-3
plug in the formula
11 years ago
ganeshie8 (ganeshie8):
^
11 years ago
OpenStudy (anonymous):
y + 4 = mx(x +3)
11 years ago
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OpenStudy (anonymous):
oops
11 years ago
OpenStudy (anonymous):
(y +4) = 2(x+3)
11 years ago
OpenStudy (uri):
Right :D
11 years ago
OpenStudy (anonymous):
ok thank you! and this last one which i forgot how to do
Find the average rate of change for the given function from x = -3 to x = 1.
11 years ago
OpenStudy (anonymous):
2, -3, -1, -2 are answer choices
11 years ago
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ganeshie8 (ganeshie8):
average rate of change between two points is same as the slope of secant line between those points
11 years ago
ganeshie8 (ganeshie8):
where is your function ?
11 years ago
OpenStudy (anonymous):
can't get picture to post, I'll write it out
11 years ago
OpenStudy (anonymous):
x: -3, 0, 1
y: -3, 3, 5
11 years ago
ganeshie8 (ganeshie8):
simply find the slope between those two given points
11 years ago
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ganeshie8 (ganeshie8):
x: ` -3`, 0, `1`
y: ` -3`, 3, `5`
11 years ago
ganeshie8 (ganeshie8):
(-3, -3) and (1, 5)
11 years ago
OpenStudy (anonymous):
2
11 years ago
OpenStudy (anonymous):
mx = 2
11 years ago
ganeshie8 (ganeshie8):
Yes! slope of the line joinng both the points is called the average rate of change of function between those two points
11 years ago
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ganeshie8 (ganeshie8):
you're done! 2 is the average rate of change
11 years ago
OpenStudy (anonymous):
I didn't know all you had to do was find the slope haha
11 years ago
OpenStudy (anonymous):
thanks again, i just found 2 more that i could use some help with because i forgot the material. do you have time?
11 years ago
ganeshie8 (ganeshie8):
sure, post them as new thread..
11 years ago
OpenStudy (anonymous):
okay
11 years ago