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Ber [7]
2 years ago
10

Graphs and lines. please help thx

Mathematics
1 answer:
Elodia [21]2 years ago
3 0

Answer:

y=\frac{4}{3}x+4

Step-by-step explanation:

In order to identify the equation of line from the given graph, we need to find the slope and the y-intercept.

Slope of a line is the ratio of rise to run or change in y over change in x.

The y-intercept is a point on the line for which the x value is 0. In other words, it is on the y-axis.

Here, from the graph,

y-intercept is at point (0,4). So, y-intercept is the y value which is,b= 4.

Also, slope is given as, m=\frac{\Delta y}{\Delta x}=\frac{4}{3}

Therefore, the equation of the line is:

y=mx+b\\y=\frac{4}{3}x+4

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2 years ago
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1 year ago
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
I need your guys help please as soon as possible!
lesya [120]

Answer:

4(6)/2=12 + 4(4)/2= 8

12+8= 20 sq units

4 0
3 years ago
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