If <em>c</em> > 0, then <em>f(x</em> - <em>c)</em> is a shift of <em>f(x)</em> by <em>c</em> units to the right, and <em>f(x</em> + <em>c)</em> is a shift by <em>c</em> units to the left.
If <em>d</em> > 0, then <em>f(x)</em> - <em>d</em> is a shift by <em>d</em> units downward, and <em>f(x)</em> + <em>d</em> is a shift by <em>d</em> units upward.
Let <em>g(x)</em> = <em>x</em>. Then <em>f(x)</em> = <em>g(x</em> + <em>a)</em> - <em>b</em> = (<em>x</em> + <em>a</em>) - <em>b</em>. So to get <em>g(x)</em>, we translate <em>f(x)</em> to the left by <em>a</em> units, and down by <em>b</em> units.
Note that we can also interpret the translation as
• a shift upward of <em>a</em> - <em>b</em> units, since
(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>)
• a shift <em>b</em> units to the right and <em>a</em> units upward, since
(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>) = <em>x</em> + (- <em>b</em> + <em>a</em>) = (<em>x</em> - <em>b</em>) + <em>a</em>.
a½+b½-c½=0
a½+b½=c½
Squaring on both sides,
(a½+b½) ²=c½×²
a+b+2a½b½=c
a+b-c= -2a½b½
Again squaring on both sides,
(a+b-c) ²=(-2a½b½) ²
= 4ab.
10 square units.
The quadrilateral is 2 x 2 = 4
Triangle a 2 x 2 = 4; divided by 2 = 2
Triangle b 4 x 2 = 8; divided by 2 4
4 + 2 + 4 = 10 units squared
Answer:
r = 9 ft
h = 5 ft
V = 1272.35 ft³
L = 282.743 ft²
T = 254.469 ft²
B = 254.469 ft²
A = 791.681 ft²
Agenda:
r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.14159
<span>√ = square root
</span>
Formula: Calculate the volume of a cylinder: V = πr²h