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2 years ago

How many zeros are indicated by the values in the table that represent the graph of a continuous function?

Mathematics

1 answer:

monitta2 years ago

6 0

Answer:

Step-by-step explanation:

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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

3 years ago

— 2y – Зу +8 = 8 — 5у – 12

jasenka [17]

Answer:

No Solution.

Step-by-step explanation:

Equality equation:

— 2y – Зу +8 = 8 — 5у – 12 (Given)

-5y + 8 = -4 - 5y (distributive property of equality)

-5y = -12 - 5y (subtraction property of equality)

= -12 (addition property of equality)

when you add 5y on both sides it cancels the 5y out, it's no solution.

<em><u>Ace-The Kid Laroi</u></em>

6 0

2 years ago

Can someone help? This is so hard

Sunny_sXe [5.5K]

Answer:

#1 x = 31°

#2 x = 125°

Step by Step Explanation:

By the theorem of intersecting secants outside of the circle, we have:

$x=\frac{1}{2}(103\degree-41\degree)$

$\implies x=\frac{1}{2}(62\degree)$

$\implies \red{\bold{x=31\degree}}$

By the theorem of intersecting chords, we have:

$x=\frac{1}{2}(96\degree+154\degree)$

$\implies x=\frac{1}{2}(250\degree)$

$\implies \purple{\bold{x=125\degree}}$

4 0

2 years ago

Please give me the answer i cant get it

dexar [7]

Answer:

i believe its c

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?0 to radians to π radiansπ

marusya05 [52]

The answer is A

0 to pi/2 radians

8 0

2 years ago

Read 2 more answers