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Leviafan [203]
3 years ago
13

What is the slope of the line passing through the points (3,10)and(1,15)

Mathematics
2 answers:
cestrela7 [59]3 years ago
7 0
Put the (3, 10) above (1, 15). Then take 15-10 and put 5 as the numerator, same with 1-3 and put -2 as the denominator. Slope is -5/2

goldfiish [28.3K]3 years ago
5 0
Y^2-y^1/x^2-x^1
15-10/1-3
slope = -5/2
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Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360
Natasha2012 [34]

\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]

\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

   \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]

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3 years ago
Numbers that put things in order are called cardinal numbers. <br> True False
rewona [7]
True

plz thank me, it motivates me to answer more of your questions :)
5 0
3 years ago
Read 2 more answers
Simplify. Write the expression using only positive exponents.
Nataly [62]

Answer:

w^3 × 1/w^9

I'm pretty sure that's the answer

3 0
3 years ago
Will give brainliest! please answer correctly!
Brums [2.3K]
The answer is A :)!
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A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that the two balls ar
Alecsey [184]

Answer:

5/18

Step-by-step explanation:

5/9 times 1/2

5/18

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6 0
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