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Ad libitum [116K]
3 years ago
10

Which expression represents the number of sides in the polygon for the nth member of the pattern?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0
Given a triangle (3 sides), a hexagon (6 sides) and a nonagon (9 sides).

The sides increases by 3 and the equation that represents the pattern is 3n.

Therefore, the <span>expression that represents the number of sides in the polygon for the nth member of the pattern is 3n.</span>
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For f(x) = x2 and g(x) = (x − 5)2, in which direction and by how many units should f(x) be shifted to obtain g(x)? (5 points) Up
IgorC [24]

Answer:

5 units to the right.

Step-by-step explanation:

The x in f(x) is replaced by x - 5 to give g(x).

The - 5 will shift f(x) 5 units to the right.

3 0
2 years ago
A yardstick casts a shadow of 24 in. at the same time a telephone pole casts a shadow of 20 ft 8 in. What is the height of the t
Colt1911 [192]
17ft 8in = 212 in  so according to the options I would say go with 165 so A.
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3 years ago
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There are (49)5 • 40 books at the library. What is the total number of books at the library? (4 points)
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3 years ago
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The perimeter, P, of a rectangle is equal to twice the sum of the length and width of the rectangle. Determine the width of a re
svetoff [14.1K]

Answer:

12 inches

Step-by-step explanation:

5 + 5 = 10

34 - 10 = 24

24 ÷ 2 = 12

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7 0
3 years ago
Solve the following logarithmic equations.<br> log[(x^2 + 2x − 3)^4] = 0
saw5 [17]

Answer:

The solutions are x = 1.24 and x = -3.24

Step-by-step explanation:

Hi there!

First, let´s write the equation:

log[(x² + 2x -3)⁴] = 0

Apply the logarithm property: log(xᵃ) = a log(x)

4 log[(x² + 2x -3)⁴] = 0

Divide by 4 both sides

log(x² + 2x -3) = 0

if log(x² + 2x -3) = 0, then  x² + 2x -3 = 1 because only log 1 = 0

x² + 2x -3 = 1

Subtract 1 at both sides of the equation

x² + 2x -4 = 0

Using the quadratic formula let´s solve this quadratic equation:

a = 1

b = 2

c = -4

x = [-b± √(b² - 4ac)]/2a

x =  [-2 + √(4 - 4(-4)·1)]/2 = 1.24

and

x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24

The solutions are x = 1.24 and x = -3.24

Have a nice day!

4 0
3 years ago
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