Step-by-step explanation:
since both cords are equal, so are arc length
4x + 18 = 7x - 51
3x - 21 = 0
x = 7
arc RS = 4(7) + 18
Answer:
Circumference = πd
where d = diameter
Step-by-step explanation:
When using this formula you don't need to multiply by 2 like you do when using the radius because the diameter is twice the radius of a circle.
Answer: the expression 12f + 24 represents 12 times a quantity, added to 24.
Expplanation.
The <em>expression 12f + 24</em> is an algebraic <em>expression</em>, especifically a first degree binomial; this is, a polynomial of two terms, whose maximum power is 1.
The algebraic expressions are used to <em>represent</em> word statements in mathematical language.
You can analyze each term of the expression and then tell what the total expresssion represents:
- The first term <em>12f</em>, where f is a variable with degree 1 (the exponent of the variable), <em>represents</em> the multiplication of a quantity (represented by the variable f) by 12.
- 24 is the constant term, it <em>represents</em> an constand addend.
- Hence, the total <em>expression represents</em> the multiplication of a quantity by 12, and, after the multplication is done, added with 24.
Answer:
Option A) Todd is older than 32
Step-by-step explanation:
we have
Solve for x
Adds 6 both sides
Multiply by 2 both sides
so
Todd's age is greater than 32
therefore
Todd is older than 32
Answer:
True.
Step-by-step explanation:
For example let f(x) = 3x + 1 then f-1(x) is found as follows
Let f(x) = y = 3x + 1 then
3x = y - 1
x = (y-1) / 3
x = f-1(x) = (x - 1)/3.
So:
Replacing the x in y by (x - 1)/3 :-
x = f(-1)(y) = ( (3x + 1) - 1) / 3
= 3x / 3
= x.
So y = f(x).
