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3 years ago

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Determine whitch expressons are equivelent to 1/4-2/3-(1/2+5/6)

1 answer:

Alex777 [14]3 years ago

8 0

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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:

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

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3 years ago

Two Submarines starting from the same point cruise for two hours, one

Aleksandr [31]

Answer:

2 hour

Step-by-step explanation:

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4 years ago

What is 5/6 of 24<br> Help?

nikitadnepr [17]

The answer is 20. Multiply 5/6 by 24 to get 20.

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3 years ago

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The volume of a cylinder with a height of 4 feet is 144n cubic feet what is the radius of the base of the cylinder V=nr2h

geniusboy [140]

Answer: 6 ft

Step-by-step explanation:

$144\pi =\pi(r^{2})(4)\\\\144\pi=4\pi r^{2}\\\\36=r^{2}\\\\r=\boxed{6 \text{ ft}}$

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2 years ago

What is the simplest form of this expression? (x^-3)^1/3

IrinaK [193]

The simplest form is, <span>x-1 </span>
<span>
</span>

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3 years ago

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