For this case we have the following functions transformation:
Vertical translations:
Suppose that k> 0
To graph y = f (x) -k, move the graph of f(x) k units down
Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of f(x) h units to the right.
Applying the transformations to an ordered pair we have:
(x, y) ------------------> (x-3, y-5) ----------------- -> (x ', y')
Answer:
The rule that describes a translation that is 3 units to the right and 5 units down is:
(x, y) ------------------> (x-3, y-5) ----------------- -> (x ', y')
Volume= area of base x height
base= 3.14 x 4^2(8/2=4 for the radius)
base=50.24
base x height=50.24 x 23=1155.52, or 1156 ft3
We know that
in the matrix T the element t(13) refers to the element in row 1 and column 3
therefore
the answer is 7
It is y+1=0.9(x+4) because the formula is y - y1=m(x + x1) you only need one point and the slope. If you have two points, you need to find the slope by using the slope formula slope=y2-y1/x2-x1. Filling it in it would look like slope=7-(-1)/5-(-4). The double negatives cancel each other out and it turns to addition signs leaving us with slope=7+1/5+4 so the slope is 8/9 or 0.9. Now you can fill out the point-slope formula y+1=0.9(x+4)
