3 years ago

Decribe the counter clockwise rotation that maps angles

1 answer:

5 0

I don’t know if this is the answer but.. An angle generated by one complete counterclockwise rotation measures 360° or 21 radians. 360° An angle generated by one complete clockwise rotation measures -360° or -21 radians.

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If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?

olga55 [171]

If x=3+bi, then

$|x|=\sqrt{3^2+b^2}.$

You know that $|x|^2=13,$ then

$\left(\sqrt{3^2+b^2}\right)^2=13,\\ \\ 9+b^2=13,\\ \\b^2=4,\\ \\b=\pm 2.$

Two possible complex numbers satisfy these conditions:

$x_1=3+2i, \ x_2=3-2i.$

As you can see the possible value of b is 2.

Answer: correct choice is A.

3 0

3 years ago

Find the value of (-3)4 + (-2)4

serious [3.7K]

Answer:

-20

Step-by-step explanation:

-3×4 is -12.

-2×4= -8

add the two, and you get -20

3 0

3 years ago

Read 2 more answers

At a baseball game a vender sold a combined total of 188 sodas and hotdogs. The number of hot dogs sold was 30 less that the num

Stells [14]

H = s-30
188 = h+s
188 = s-30+s
188= 2s-30
218 = 2s
109 = s

109-30 = 79

109 sodas
79 hot dogs

check:
109+79=188

7 0

4 years ago

A polygon with 3 sets of parallel lines.

Oksana_A [137]

A polygon that has three sets of parallel lines would be a hexagon.

4 0

3 years ago

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06. Kristen can run at 15km/hr and walk at 5 km/hr. She completed a 42 km marathon in 4 hours. What distance did Kristen run dur

Mrac [35]

Let x be the time she ran and y be the time she walked

then distance ran = 25x and distance walked = 5y

so 15x + 5y = 42

and x + y = 4

* second equn. by -5:-

-5x - 5y = -20

add this to the first equn:0

10x = 22
x = 2.2

distance she ran = 2.2 * 15 = 33 km

7 0

3 years ago