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mihalych1998 [28]
3 years ago
14

HELP PLEASE!!!

Mathematics
1 answer:
Ann [662]3 years ago
4 0
The answer is b. 9.8
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Solving Square Roots Worksheet (x - k)^2 : Part 1
iVinArrow [24]

Answer:

1. x = +/- 2\sqrt{2} - 7

2. x = 3 +/- 2i\sqrt{3}

3. n = 2 +/- i\sqrt{2}

Step-by-step explanation:

1. Divide both sides by 2: (x + 7)^2 = 8

Square root both sides: x + 7 = +/- 2\sqrt{2}

Subtract 7 from both sides: x = +/- 2\sqrt{2} - 7

2. Square root both sides: x - 3 = \sqrt{-12}

Since there is a negative inside the radical, we need to have an imaginary number: i=\sqrt{-1} . So, \sqrt{-12} =i\sqrt{12} =2i\sqrt{3}

Add 3 to both sides: x = 3 +/- 2i\sqrt{3}

3. Divide by -5 from both sides: (n - 2)^2 = -2

Square root both sides: n - 2 = \sqrt{-2}

Again, we have to use i: n-2=\sqrt{-2} =i\sqrt{2}

Add 2 to both sides: n = 2 +/- i\sqrt{2}

Hope this helps!

8 0
3 years ago
Read 2 more answers
Write a polynomial that represents the shaded area of the figure below
IRISSAK [1]
I hope this helps you

8 0
3 years ago
10. Choose all fractions equivalent to 36/40 <br><br><br><br> A) 3/4 B) 9/10 C) 9/40 D) 18/20
Talja [164]

Answer:

B, D

Step-by-step explanation:

36/40 simplified is 9/10

9/10 x 2  = 18/20

I hope this helps!

5 0
3 years ago
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What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62,
ra1l [238]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

62, 88, 89, 90, 92, 95, 96, 98, 100, 100

Calculating the Range:

= Greatest - Lowest\\\\= 100 - 62\\\\ = 38

Outlier =  This might be the value "far" from other data values= 62

The range of scores would be, sans outlier,

 88, 89, 90, 92, 95, 96, 98, 100, 100

Calculating the range without outlier = 100 - 88 = 12

Inter Quartile Range = Q_3 - Q_1

IQR = 98 - 89 = 11

Calculating the IQR without outlier = 99 - 89.5 = 9.5

Therefore,

Option a is "True".

Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

5 0
3 years ago
the perimeter of a square is equal to the perimeter of an equilateral triangle the length of a side of the square is given by th
diamong [38]

Answer:

x = 3

Step-by-step explanation:

We are told that the length of a side of the square is x.

Now, perimeter of square = 4 × side length

Perimeter of square = 4x

Also,we are told that the triangle is equilateral and a side is (x + 1).

Thus, perimeter of triangle = 3(x + 1)

Since we are told that the perimeter of the square is equal to that of the equilateral triangle. Thus;

4x = 3(x + 1)

4x = 3x + 3

Subtract 3x from both sides to get;

4x - 3x = 3

x = 3

5 0
3 years ago
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