For this case we have that by definition, the line equation of the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the statement we have:

Thus, the equation is of the form:

We substitute the given point and find "b":

Finally, the equation is of the form:

Answer:

X+y=57
y=x+15
x+x+15=57
2x=42
x=21
y=21+15
y=36
I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.
Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.
<h3>How to find the mean value of a data set?</h3>
The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.
If the data set consists of values
x_1, x_2, ..., x_n
, then we get the mean value as:

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.

mean=
Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.
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