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SIZIF [17.4K]
3 years ago
11

Line XY was drawn on a plane. Using a compass and a straightedge the student wanted to construct an equilateral triangle. What w

ill be the steps in this construction? Use the space below. Add more steps if needed.
Mathematics
1 answer:
Andrew [12]3 years ago
7 0

1. Place your compass point on X and measure the distance to point Y. Swing an arc of this size above (or below) the segment.

2. Without changing the span on the compass, place the compass point on Y and swing the same arc, intersecting with the first arc.

3. Label the point of intersection as the third vertex of the equilateral triangle.

4. Use you straight edge and connect the points.

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Which point is on the graph of f(x) = 2*5^x
vodomira [7]

Answer:

Option B (1,10)

Step-by-step explanation:

we have

f(x)=2(5^x)

we know that

If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)

<u><em>Verify each case</em></u>

case A) (0,0)

For x=0

f(x)=2(5^0)\\f(x)=2(1)=2

Compare the value of f(x) with the y-coordinate of the ordered pair

2\neq 0

therefore

The ordered pair is not on the graph of f(x)

case B) (1,10)

For x=1

f(x)=2(5^1)\\f(x)=2(5)=10    

Compare the value of f(x) with the y-coordinate of the ordered pair

10=10

therefore

The ordered pair is on the graph of f(x)

case C) (0,10)

For x=0

f(x)=2(5^0)\\f(x)=2(1)=2

Compare the value of f(x) with the y-coordinate of the ordered pair

2\neq 10

therefore

The ordered pair is not on the graph of f(x)

case D) (10,1)

For x=10

f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250

Compare the value of f(x) with the y-coordinate of the ordered pair

19,531,250\neq 1

therefore

The ordered pair is not on the graph of f(x)

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4 years ago
Interest after 1 year:
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