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KATRIN_1 [288]
2 years ago
9

The perimeter of a square is 12x - 8. Which of the following is the length of

Mathematics
1 answer:
Andrei [34K]2 years ago
3 0

Answer:

3x-2

Step-by-step explanation:

12x-8/4 = 3x-2 is one side length of a square

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PLEASE HELP ME If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z? z = 3 z = 4 z = 5 z = 6
Burka [1]

Answer:

  z = 6

Step-by-step explanation:

We know that ...

  sin(x) = cos(90 -x)

Substituting (9z-1) for x, this is ...

  sin(9z -1) = cos(90 -(9z -1))

But we also are given ...

  sin(9z -1) = cos(6z +1)

Equating the arguments of the cosine function, we have ...

  90 -(9z -1) = 6z +1

  90 = 15z . . . . . . . . . add (9z-1) to both sides

  6 = z . . . . . . . . . . . . divide by 15

_____

<em>Comment on the graph</em>

The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...

  sin(x) = cos(90 +360k -x)  . . . . .  for any integer k

Then the above equation becomes ...

  90 +360k = 15z

  6 +24k = z . . . . . . . . . for any integer k

The sine and cosine functions also enjoy the relation ...

  sin(x) = cos(x -90)

  sin(9z -1) = cos(9z -1 -90) = cos(6z +1)

  3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z

  z = 30 2/3

6 0
3 years ago
Let f(x) = x2 - 8x 5. Find f(-1).
Ymorist [56]
In the equation you have to replace all x's with -1

f (-1) = (-1)^2 - 8(-1) +5
f (-1) =  1 + 8 + 5
f (-1) = 14

the f(-1) stand for the function of -1. it is also equivalent to y
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A shape is rotated counterclockwise 110 degrees about the origin. What is another way to describe the rotation?
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