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ki77a [65]
3 years ago
7

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

Mathematics
1 answer:
olga55 [171]3 years ago
3 0

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.

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Last month, John's dog ate 45 cans of dog food in 30 days. How many cans should John buy to feed his dog for the next 6 days?
Anna35 [415]

Answer:

John needs to buy 9 cans to feed his dog for the next 6 days

Step-by-step explanation:

1.5 cans per day (45/30) apply that 1.5 × 6 = 9

4 0
3 years ago
The negative sign in 15t-2t belongs to the term____?
alexdok [17]

The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

Solution:

Given expressions are 15t – 2t and 2t – 15t.

To determine 15t – 2t is equivalent to 2t – 15t or not.

Substitute t = 2 in above two expressions.

15t – 2t = 15(2) – 2(2)

            = 30 – 4

            = 26

2t – 15t = 2(2) – 15(2)

            = 4 – 30

            = –26

The values of the expressions are different when t = 2.

So, 15t – 2t is not equivalent to 2t – 15t.

Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

7 0
3 years ago
Given: is perpendicular to , which is the base of isosceles prove:
Angelina_Jolie [31]
Need more information!
6 0
3 years ago
What is the volume, in cubic centimeters, of a rectangular prism with a height of 8
Llana [10]

Answer:

V=640cm³

Step-by-step explanation:

V=640cm³

The correct answer is V=640cm³.

Formula- L*W*H

Hope this helps.

3 0
3 years ago
Please help me answer this !
liberstina [14]

Answer:

y = -\frac{1}{2}x + 4

Step-by-step explanation:

The equation of the line can be written in slope-intercept form, as y = mx + b.

We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.

y-intercept (b) = the point where the line intercepts the y-axis = 4

Using two points on the line, say, (0, 4) and (2, 3):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2}

m = -½.

Substitute m = -½, and b = 4 into y = mx + b.

The equation of the line would be:

y = -\frac{1}{2}x + 4

3 0
3 years ago
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