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3 years ago

Y = -x + 4 y = 2x - 8

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

8 0

Answer:

x = 4, y = 0 or (4, 0)

Step-by-step explanation:

2x - 8 = -x + 4

3x - 8 = 4

3x = 12

x = 4

y = -(4) + 4

y = -4 + 4

y = 0

Mrac [35]3 years ago

7 0

Answer:

Step-by-step explanation:

2x - 8 = -x + 4

3x - 8 = 4

3x = 12

x = 4

y = -4+4 = 0

(4,0)

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3 years ago

Alyssa used a can of paint that was 5/6 full to touch paint her house. When she was done, the bucket was 11/30 full. What fracti

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Answer:

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3 years ago

Expres each complex number in polar form. State the arguments in radians rounded to the nearest thousandth.

Arlecino [84]

Answer:

(a) In polar form complex number will be $5.3851\angle 68.1985^{\circ}$ and in radian argument is 0.378π

(b) $6.0827\angle -9.46^{\circ}$

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Step-by-step explanation:

We have given

(a) 2+5i

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We know that magnitude is given by $\sqrt{(real\ part)^2+(imaginary\ part)^2}=\sqrt{2^2+5^2}=\sqrt{29}$

Argument is given by $tan^{-1}\frac{imaginary\ part}{real\ part}=tan^{-1}\frac{5}{2}=68.198$

So in polar form complex number will be $5.3851\angle 68.1985^{\circ}$

In radian argument will be $68.1985\times \frac{\pi }{180}=0.378\pi$

(b) We have given complex number $-6+i$

We know that magnitude is given by $\sqrt{(real\ part)^2+(imaginary\ part)^2}=\sqrt{(-6)^2+1^2}=\sqrt{37}$

Argument is given by $tan^{-1}\frac{imaginary\ part}{real\ part}=tan^{-1}\frac{1}{-6}=-9.46$

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4 years ago