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allsm [11]
3 years ago
6

Which of the following is equivalent to √8? A.2 B.√2 C.2 √2 D.2 + √2

Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

C.2\sqrt{2}

Step-by-step explanation:

Step 1: Know you can split 8 into factors of 4 and 2

\sqrt{(4)(2)}

Step 2: Recognize 4 is a square number

\sqrt{(2^{2})(2) }

Step 3: Because 2^{2}  is squared you can move it out

2\sqrt{2}

Therefore the answer is C

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A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.
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Graph a line that is parallel to the given line. Determine the slope ofthe given line and the one you graphed in simplest form.
Daniel [21]

original slope = -4/3

parallel slope = -4/3

Explanation:

For a line to be parallel to anpother line, the slope of both lines must be equal.

We need to find the slope of the given line by picking any two points on the line.

Using points (-6, 5) and (0, -3)

slope formula:

m\text{ = }\frac{y_2-y_1}{x_2-x_1}\begin{gathered} x_1=-6,y_1=5,x_2=0,y_2\text{ = -}3 \\ \text{slope = m= }\frac{-3-5}{0-(-6)}=\frac{-8}{0+6} \\ m\text{ = -8/6} \\ m\text{ = -4/3} \end{gathered}

The equation of the given line: y = mx + b

b = y-intercept = -3

y = -4/3x - 3

The equation line parallel to the one above could be:

y = -4/3 x + 7

This because the slope are the same

original slope = -4/3

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plotting the graph of the lline parallel to the first one:

3 0
1 year ago
4. A river tour boat is going down a stream to a park for lunch and then back up. It is a 60-mile round trip. On
DiKsa [7]

Answer:

The speed of the boat in still water is 10 miles / hour

Step-by-step explanation:

The trip there, and the trip back are the same -- 30 miles

Let the rate of the boat = x

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30 = 2*(x + y)

30 = 6*(x - y)

Divide the top equation by 2

Divide the bottom equation by 6

15 = x + y

<u>5  = x - y   </u>            Add the equations together.

20 = 2x                 Divide by 2

20/2 = x

x = 10

3 0
2 years ago
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