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3 years ago

11

What is the solution to this equation?

1 answer:

slamgirl [31]3 years ago

4 0

Answer: No solution.

Step-by-step explanation:

1. The lines are parallel.

2. If you solve the system of equations you would end up with 0x, so you cannot solve for x.

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REALLY NEED HELP!!!<br> see picture*****

vladimir1956 [14]

Answer:

11) $r=4$

12) $z_3+z_1=A$

13a) $\bar z_1=3-2i$ and $\bar z_2=-5+3i$

13b) $\bar {z_1z_2}=-9-19i$

Step-by-step explanation:

11. The given equation in rectangular coordinates is $x^2+y^2=16$

To convert to polar form, use the relation $x^2+y^2=r^2$

This implies that:

$\implies r^2=16$

$r=\sqrt{16}$

$r=4$

In polar coordinates, $r=4$ is a circle with radius 4 units.

12. From the diagram;

$z_3=-3-3i$

$z_2=1+i$

$z_1=4+i$

$A=1-2i$

We can see that two arrows are moving in anticlockwise direction to meet A which is moving in the clockwise direction;

$\implies (-3-3i)+(4+i)=1-2i$

$\therefore z_3+z_1=A$

13. The conjugate of the complex number: $z=a+bi$ is $\bar z=a-bi$

Part a) The given complex numbers are:

$z_1=3+2i$ and $z_2=-5-3i$

The conjugates of these complex numbers are:

$\bar z_1=3-2i$ and $\bar z_2=-5+3i$

Part b) The product of $z_1=3+2i$ and $z_2=-5-3i$ is

$z_1z_2=(3+2i)(-5-3i)$

$z_1z_2=-15-9i-10i-6i^2$

$z_1z_2=-9-19i$

The conjugate of the product is:

$\bar {z_1z_2}=-9-19i$

5 0

3 years ago

Identify the radius and the center of a circle whose equation is (x – 5)² + y² = 81.

forsale [732]

Answer:

centre (5,0)

radius:9

I hope it will be helpfulness

8 0

1 year ago

Use the rules of exponents to evaluate or simplify.write without negative exponents. 1/4^-2=?

Talja [164]

9514 1404 393

Answer:

4² = 16

Step-by-step explanation:

The applicable rule of exponents is ...

1/a^-b = a^b

So, ...

$\dfrac{1}{4^{-2}}=\boxed{4^2 = 16}$

_____

<em>Additional comment</em>

If you were to evaluate this using the Order of Operations, you would evaluate the exponent first:

1/4^-2 = 1/(1/16)

Then, you would do the division.

1/(1/16) = 16

__

We sometimes find it convenient to manipulate exponential terms to the form with the smallest positive exponents before we begin the evaluation.

5 0

2 years ago

G(x) = 2x<br> Find g(g(-3))

alisha [4.7K]

Would it be g^2 - 3g ?

4 0

3 years ago

A climatologist wants to determine the thickness of a glacier with a surface area of about 2 km². He selected 10 locations at ra

Agata [3.3K]

The median thickness of the entire glacier is calculated with the arranging the given dimensions of the thickness from least to highest.
29, 34, 35, 36, 38, 40, 41, 43, 44, 46
The middle tern is the 5th and 6th terms which are equal to 38 and 40. Average of this cool is still 39.

7 0

3 years ago