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Eduardwww [97]
3 years ago
9

Use the square root property of equality to solve (x  – 3)2 = –4. The solutions are a. -1 or 7 b. 1 or 5 c. 3+- 2i d. 3+-4i

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
8 0

Answer:

The solution is    3 ± 2i .   The correct option is C.

Step-by-step explanation:

using the square root property of equality to solve  (x - 3)² = -4

we have;

(x - 3)² = -4

Take the square root of both-side

√(x - 3)² = ±√-4

x - 3  =  ±√4  × √-1

Not that square root of -1 is i

x - 3 = ±2i

Add 3 to both-side of the equation

x -3 + 3 = 3 ± 2i

x = 3 ± 2i

Therefore, the solution are 3 ± 2i

makkiz [27]3 years ago
6 0
The answer is C. 3+-2i

(x-3)(x-3)^{2} = -4

 \sqrt{(x-3)^2} = +- \sqrt{-4

x - 3 = i \sqrt{4} 

x - 3 = +-2i

x = 3 +-2i
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Answer:

A=28

B=18

C=18

D=28

E=28

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G=10

H=5

Step-by-step explanation:

3 0
2 years ago
Write an equation of a circle with a center at (2, - 4) and a radius of 4.
fgiga [73]

9514 1404 393

Answer:

  (x -2)^2 +(y +4)^2 = 16

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

You have (h, k) = (2, -4) and r = 4, so your equation is ...

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6 0
3 years ago
In Mr. Smith's 7th Hour
tatiyna

binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22

(assuming children are independent and male and female are equally likely)

| probability

less than 16 boys | 0.9534

16 or less boys | 0.9827

more than 16 boys | 0.01734

16 or more boys | 0.04657

fraction of boys | 16/(16 + 7) ≈ 0.695652

fraction of girls | 7/(16 + 7) ≈ 0.304348

expected value | 11.5

standard deviation | 2.398

variance | 5.75

11.5

3 0
3 years ago
A school concert has students tickets for $7 and nonstudents tickets for $12. If the school made $1973 selling 214 tickets? How
bearhunter [10]

Answer:

119 student tickets and 95 non-student tickets

Step-by-step explanation:

I did a trial-and-error solution.

I started with 107 students and 107 non-students:

(107*$7)+(107*$12) = $2033

It was too high, which tells us that there should be more who paid for the cheaper price.

I ended up with 119 and 95:

(119*$7)+(95*$12) = $1973

8 0
3 years ago
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Shane covered the front of the kite at the right with paper. How many square inches of paper did Shane use?
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Answer: 14 in.

Step-by-step explanation:

https://studyandanswers.com/mathematics/question15147255?#

5 0
3 years ago
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