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monitta
3 years ago
7

What is the equation of the line that passes through the points (-4,-1) and (6,-1)

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Answer:

slope= 0

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

m= (-4-1),(6-1)

subtract the x1 and y1 which is -1--1 equal to 0

now same goes for x2/y2 we subtract them

which we end up getting 10

but because we have 0 whatever number we get it doesn't matter because at the end our answer will end up being 0.

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20 points and brainliest <br> I’m in quiz in need it asap <br> Number 4
iren [92.7K]

Answer and step-by-step explanation:

The polar form of a complex number a+ib is the number re^{i\theta} where r = \sqrt{a^2+b^2} is called the modulus and \theta = tan^-^1 (\frac ba) is called the argument. You can switch back and forth between the two forms by either remembering the definitions or by graphing the number on Gauss plane. The advantage of using polar form is that when you multiply, divide or raise complex numbers in polar form you just multiply modules and add arguments.

(a) let's first calculate moduli and arguments

r_1 = \sqrt{(-2\sqrt3)^2+2^2}=\sqrt{12+4} = 4\\ \theta_1 = tan^-^1(\frac{2}{-2\sqrt3}) =-\pi/6\\r_2=\sqrt{1^2+1^2}=\sqrt2\\ \theta_2 = tan^-^1(\frac 11)= \pi/4

now we can write the two numbers as

z_1=4e^{-i\frac \pi6}; z_2=e^{i\frac\pi4}

(b) As noted above, the argument of the product is the sum of the arguments of the two numbers:

Arg(z_1\cdot z_2) = Arg(z_1)+Arg(z_2) = -\frac \pi6 + \frac \pi4 = \frac\pi{12}

(c) Similarly, when raising a complex number to any power, you raise the modulus to that power, and then multiply the argument for that value.

(z_1)^1^2=[4e^{-i\frac \pi6}]^1^2=4^1^2\cdot (e^{-i\frac \pi6})^1^2=2^2^4\cdot e^{-i(12)\frac\pi6}\\=2^2^4 e^{-i\cdot2\pi}=2^2^4

Now, in the last step I've used the fact that e^{i(2k\pi+x)} = e^i^x ; k\in \mathbb Z, or in other words, the complex exponential is periodic with 2\pi as a period, same as sine and cosine. You can further compute that power of two with the help of a calculator, it is around 16 million, or leave it as is.

7 0
1 year ago
What is the answer to this question?
Klio2033 [76]
Hey!!!
Answer is.....


Area=
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706.5
Answer is 706.5 cm^2...


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F(x) = 4x2 – 10x + 2<br> Find f(-7)
eimsori [14]

Answer:

f(-7) = 268

Step-by-step explanation:

f(x) = 4x^2 – 10x + 2

Let x = -7

f(-7) = 4(-7)^2 – 10(-7) + 2

     Exponents first

f(-7) = 4(49) – 10(-7) + 2

Multiply

f(-7) = 196 + 70 + 2

f(-7) = 268

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Answer:

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Step-by-step explanation:

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