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3 years ago

-4 + p - 2

mula"> -4

Mathematics

1 answer:

deff fn [24]3 years ago

7 0

-4 + p - 2 ≥ -4

Combine like terms.

-6 + p ≥ -4

Add 6 to both sides

p ≥ 2

<h3><u>The value of p is greater than or equal to 2.</u></h3>

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Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of

Luda [366]

Answer:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

$|C| = \sqrt{a^2+b^2}$

Then, the work consists in finding pairs (a,b) for which:

$\sqrt{a^2+b^2}=3$

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

$\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}$

I will use b =0.5, b = 1, b = 1.5, b = 2

$b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236$

Then, four distinct complex numbers that have an absolute value of 3 are:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

4 0

4 years ago

Using the Addition Method, solve for x in the following system of linear equations.

NNADVOKAT [17]

Answer:

c. x=8

Step-by-step explanation:

make me a brain list.

6 0

2 years ago

What is 267.4 divided by 1/10 ?

kotegsom [21]

I’m personally not to good at adding fractions so I turned 1/10 into 0.1

Then I divided 268.4 by .1 and got 2,674.

7 0

4 years ago

Tutorial from edmentum please help!

evablogger [386]

Answer:

$(\frac{3}{8} )^{-2} (\frac{1}{3}* \frac{3}{8})^3 ( \frac{1}{3} )^4$

$(\frac{3^-2}{8^-2} ) (\frac{1^3}{3^3}* \frac{3^3}{8^3}) ( \frac{1^4}{3^4} )$

$(\frac{64}{9} ) (\frac{1}{27}* \frac{27}{512}) ( \frac{1}{81} )$

$(\frac{64}{9} ) (\frac{1}{512}) ( \frac{1}{81} )$

Simplifies to= $\frac{1}{5832}$

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2 years ago

Usethe distributive property to express28+42

tankabanditka [31]

Answer:

To express the sum of two numbers using distributive property, we factor out the highest common factor (HCF) of the two numbers (i.e. the greatest number that can divide the two numbers without remainder)

28 = 2 x 2 x 7

42 = 2 x 3 x 7

The HCF of 28 and 42 is given by 2 x 7 = 14

Therefore, we express 28 + 42 using distributive property thus: 14(2 + 3)

4 0

3 years ago

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