What is the scale factor in the dilation centered at the origin shown below? Pay attention to see which way the arrow is pointin
g. For dilations with a scale factor of less than one, input your answer as a fraction.
1 answer:
You might be interested in
Answer:
Now, Mr Lee's age is 40 years, his son's age is 13 years.
Step-by-step explanation:
<u>4 years ago:</u>
Son's age = x years
Mr. Lee age = 4x years
<u>Now:</u>
Son's age = x + 4 years
Mr. Lee age = 4x + 4 years
The sum of the ages of Mr Lee and his son is 53 now, so
Now, Mr Lee's age is 40 years, his son's age is 13 years.
Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y = x + ba/a
y = x + b
so R is bounded by y = x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π ( x + b )² dx
V = π ₀∫^a ( x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( x + b )² dx