Answer:
radius: 23 inches
Step-by-step explanation:
Formula: ∅r = arc length
Here the ∅ is 2 rads and arc length is 46 inches.
using the formula:
2*r = 46
r = 23 inches
Answer:
ƒ(a + h) = 2(a^3 + 3a^2h + 3ah^2 + h^3)
Step-by-step explanation:
Put (a+h) in place of x and "simplify" the expression.
f(x) = 2x^3
f(a +h) = 2(a +h)^3 = 2(a^3 +3a^2h +3ah^2 +h^3) . . . . matches 1st choice
_____
It helps to know the expansion of a binomial:
(a +b)^3 = a^3 +3a^2b +3ab^2 +b^3
Even if you don't, you can multiply it out.
(a +b)^3 = (a +b)(a^2 +2ab +b^2) = a^3 +2a^2b +ab^2 +a^2b +2ab^2 +b^3
= a^3 +3a^2b +3ab^2 +b^3
Distribution
(a)(b+c)
ab+ac
applying that to your problem
(a-3)(a-8)
distribute (a-3)
(a-3)(a) +(a-3)(-8)
distribute again
aa-3a +(-8a) +24
add up like terms
Considering the definition of equation, the equation that represents the statement "Two times a number x increased by 8 is 20" is: 2x + 8= 20
<h3>Definition of equation</h3>
An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The unknown values represents the number (or numbers), if any, that make the equality true. This unknown number is the solution of the equation.
<h3>This case</h3>
Considering that:
- "Twice' simply means "multiply by 2".
- "increased by 8" means "added or plus 8".
the equation that represents the statement "Two times a number x increased by 8 is 20" is:
2x + 8= 20
Learn more about equation with this similar problems:
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Answer:
60 feet
Step-by-step explanation:
6 + 4 + 10 = 20 yards
20 yards = 60 feet (20 * 3 feet = 60 -> 3 feet in a yard)
