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krek1111 [17]
3 years ago
8

Please help. Show all work:)

Mathematics
1 answer:
Alex787 [66]3 years ago
8 0

Answer:

  50

Step-by-step explanation:

(3+\sqrt{-16})(6-\sqrt{-64})=(3+4\sqrt{-1})(6-8\sqrt{-1})=2(3+4\sqrt{-1})(3-4\sqrt{-1})\\\\=2(3^2-(4\sqrt{-1})^2)=2(9-(-16))\\\\=2(25)=50

__

We make use of the special form for the difference of squares:

  (a+b)(a-b) = a²-b²

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noname [10]
I think you want a rounded answer. The answer would be 200,000

4 0
4 years ago
Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches
Mamont248 [21]

Answer:

6 in

Step-by-step explanation:

Let x = the side length of the original square.

They removed 3 in from each side of the original square, so the side lengths of the remaining square are x - 3 in.

The area of the smaller square is (x - 3)².

The area of the original square is x²

I assume the area of the smaller square is ¼ that of the original square. Then

1. Solve for x

\begin{array}{rcl}\frac{1}{4}x^{2} & = & (x - 3)^{2}\\x^{2} & = & 4(x - 3)^{2}\\& = & 4(x^{2} - 6x + 9)\\x^{2}& = & 4x^{2} - 24x + 36\\3x^{2} - 24x + 36 & = & 0\\x^{2} - 8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\x - 2 = 0& \qquad &x - 6 = 0\\x = 2& \qquad &x = 6\\\end{array}

2. Calculate the side length of the smaller square

(a) x = 2

Side length = x - 3 = 2 - 3 = -1 in.

IMPOSSIBLE. You can't have a negative side length.

(b) x = 6

Side length of smaller square = 6 - 3 = 3 in.

Side length of original square = x = 6 in

Check:

\begin{array}{rcl}\frac{1}{4}(6)^{2} & = & (6 - 3)^{2}\\\frac{1}{4}\times 36 & = & 3^{2}\\9 & = & 9\\\end{array}

OK.

3 0
3 years ago
2(4y - 5) < - 2 please help
34kurt

Answer:

y  <  1

Step-by-step explanation:

5 0
3 years ago
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Aloiza [94]

Given:

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The statement that best represents the meaning of the range for these data.

Solution:

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9, 13, 9, 21, 18

Arrange the data values in ascending order.

9, 9, 13, 18, 21

Here, the maximum value is 21 and the minimum value is 9.

We know that,

\text{Range}=\text{Maximum value}-\text{Minimum value}

\text{Range}=21-9

\text{Range}=12

The range of the data set is 12. Therefore, the difference between the shortest and longest fish is 12 inches.

8 0
3 years ago
Log (3x - 2) = x <br> Please help ASAP
snow_tiger [21]
You would subtract 3x from the left side, and get -2 = -2x, so x=1 would be your answer
7 0
3 years ago
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