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4 years ago

How many points does it take to determine a line? A) two B) zero C)three D)one

Mathematics

1 answer:

yaroslaw [1]4 years ago

7 0

The answer is A, two points.

Any two distinct points in a plane determine a line, which has an equation determined by the coordinates of the points.

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Use the polar representation to write the following in the form a + bi (a) (-1+ i)^7 (b) (1+v3i)^10

ira [324]

Answer with Step-by-step explanation:

For any complex number x+iy the polar form is represented as

$z=re^{i\theta }$

where

$r^{2}=x^2+y^2\\\\tan(\theta )=\frac{y}{x}$

Part a) x+iy = -1+i

Thus $r=\sqrt{-1^2+1^2}=\sqrt{2}\\\\ \theta _{1}=tan^{-1}(\frac{-1}{1})=\frac{-\pi }{4}$

Thus using De-Morvier's theorem

$(-1+i)^7=(\sqrt{2}e^{i\frac{-\pi }{4}})^7\\\\\therefore (-1+i)^7=2^{7/2}\cdot e^{\frac{i-\pi }{28}}$

Part 2) x+iy = 1+3i

Thus $r=\sqrt{1^2+3^2}=\sqrt{10}\\\\ \theta _{1}=tan^{-1}(\frac{3}{1})=1.25$

Thus using De-Morvier's theorem

$(1+3i)^{10}=(\sqrt{10}e^{1.25i})^{10}\\\\\therefore (1+3i)^{10}=10^{5}\cdot e^{12.5i}$

3 0

3 years ago

5u-2u=..................................................

MAVERICK [17]

It will be 3u good luck

8 0

3 years ago

Help 8 divided by 900

Tanya [424]

Answer:

0.00888888889 is the correct answer

6 0

3 years ago

Read 2 more answers

F(x) = 6x ^ 6 + 29x ^ 3 + 35x ^ 4 + 43x ^ 3 + 17x ^ 2 - 16x - 12

Allisa [31]

Answer:

410x-12

Step-by-step explanation:

7 0

3 years ago

Geometry help please! Thanks!

masya89 [10]

Mid point formula

(x1 + x2) , (y1+y2)
--------- --------
2 2
Thus for x it would be (6+(-2)) /2 or 4/2 or 2.
For y (-4 + 4) / 2 or 0 / 2 or 0.
Mid point is (2,0)

8 0

3 years ago