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3 years ago

Use a compass and straightedge to construct an equilateral triangle using the length (AB) ̅ for the sides.

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

For a better understanding of the solution provided here please go through the diagram in the file attached.

Let us begin the construction of the triangle in a step by step fashion.

Step 1 Take AB as the base.

Step 2 Take the point of the compass and place it on A and take the width of the compass to be AB.

Step 3 Make an arc (as shown in green for convenience).

Step 4 Now, take the point of the compass and place it on B keeping the width of the compass to be AB.

Step 5 Make an arc (as shown in yellow for convenience) such that it intersects the arc made in Step 3 at the point C.

Step 6 Join the points A and C, and B and C.

The made triangle is the required equilateral triangle, $\Delta ABC$ . All the sides will be equal to the length AB.

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What is the average rate of change in f(x) over the interval [4,13]?

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we know that

Average Rate of Change. is the change in the y-value divided by the change in the x-value for two distinct points on the graph

$A=\frac{(f(b)-f(a))}{(b-a)}$

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substitute the values in the formula above

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Divide by $3$ both numerator and denominator

$A=\frac{1}{3}$

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the answer is

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jolli1 [7]

Answer:

-9

Step-by-step explanation:

the number is x

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2x = 4x + 18

-2x = 18

x = -9

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3 years ago

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Pleasee help me .Use each digits 2,3,7,8 to make numbers FROM 20,21,22 SO ON ALL THE WAY TO 50 FOR EXAMPLE 2+3+7+8=20

Ahat [919]

2,3,7,8=
1)3*7=21
2)2*8+7=32
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ABC is an isosceles triangle with BA=BC

Nezavi [6.7K]

Answer:

step-by-step in attachment

Step-by-step explanation:

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3 years ago

The graph of the parent function f(x) = xº is translated to form the graph of g(x) = (x - 4) 3 - 7. The point (0, 0) on the

Nuetrik [128]

Answer: The point (0, 0) corresponds to the point (4, -7)

Step-by-step explanation:

We have the function f(x) = x^3

And we transform this to get:

g(x) = (x - 4)^3 - 7

Here we have a vertical translation and a horizontal shift, let's define these two shifts:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Then if we start with f(x), g(x) is a translation of 7 units down and 4 units to the right.

This means that any point (x, y) that belongs to the graph of f(x), after the transformation will be (x + 4, y - 7)

Then the point (0, 0) of the original function corresponds to the point (0 + 4, 0 - 7) = (4, - 7) of the function g(x)

We can check this, we need to evaluate the function g(x) in x = 4

g(4) = (4 - 4)^3 - 7= 0 - 7 = -7

g(4) = -7

Then the point (4, -7) belongs to the graph of g(x).

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3 years ago