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2 years ago

Would someone be able to help me with these 8 questions please because I'm really confused.

Mathematics

1 answer:

Westkost [7]2 years ago

6 0

Number one 8^4*8^6=
(8*8*8*8)*(8*8*8*8*8*8)=
4096*262144= [1,073,741,824]

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Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

6 0

2 years ago

Alyssa drives 10 miles in 20 minutes. If she drove one hour in total at the same rate, how far did she go? i know the answer but

Fudgin [204]

Answer:

30 miles

Step-by-step explanation:

20 x 3 is 60 minutes

10 x 3 is 30 miles

6 0

1 year ago

7x-10=3x+14 whats the answer

ivann1987 [24]

X=6 is the answer to your question

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3 years ago

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Given the polynomial x7y³ + 2x5y² - 3x³ - 2x4 -2, its degree is equal to?

denis-greek [22]

Answer:

Step-by-step explanation:

its always the highest exponet

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2 years ago

Given any two numbers, which is greater, the lowest common multiple of the numbers or the greatest common multiple?

tester [92]

After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers. Find the LCM of these sets of numbers. Multiply each factor the greatest number of times it occurs in any of the numbers. 9 has two 3's, and 21 has one 7, so we multiply 3 two times, and 7 once.

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2 years ago