The maximum value attained by the function will be 4
4 = 4cos(2x - π)
cos(2x - π) = 1
2x - π = 0
x = (nπ)/2
From x = 0 to x = 2π, n = 1, 2, etc
The equation will yield +4 for odd values of n and -4 for even values of n

6 0

3 years ago

One side of a triangle is 2 times the second side. The third side is 5 ft longer than the second side. The perimeter of a triang

TiliK225 [7]

Answer:

The length of each side of triangle are 19 ft, 24 ft and 38 ft.

Step-by-step explanation:

Let the length of second side be x.

Now given:

Length of first side is 2 times length of second side.

Length of first side = 2x

Also, Length of third side is 5 ft longer than the second side.

Length of third side = 5+x

Perimeter of triangle = 81 ft.

We need to find the length of each side.

Now perimeter of triangle is sum of all three sides of triangle.

Therefore;

Perimeter of triangle = Length of first side + length of second side + Length of third side.

$2x+x+5+x=81 ft\\4x+5=81ft\\4x= 81 -5 ft\\4x = 76ft\\x= \frac{76}{4} = 19 ft$

Length of Second Side = 19 ft.

Length of First side = $2x= 2\times19 = 38 ft$

Length of Third side = $5+x= 5+19=24ft$

Hence the Length of triangles are 19 ft,38 ft,24 ft.

3 0

3 years ago

How much does four quarters equal

IceJOKER [234]

1 dollar or 100 cents

5 0

3 years ago

Read 2 more answers

The system of equations is graphed on the coordinate plane.

ehidna [41]

Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

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Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

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As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

y = -5+3

y = -2

The first equation is confirmed. Let's check the second equation

y = (1/3)x - 3

y = (1/3)*3 - 3

y = 1 - 3

y = -2

Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.

3 0

3 years ago