(x - 4)² + (y - 11)² = 100 . The center of the circle is at the point ( 4, 11) and radius is 10
we conclude that for 500 miles, both plans will have the same cost.
<h3>
For how many miles both plans have the same cost?</h3>
Plan A charges a fixed amount of $75, plus $0.10 per mile, so if you drive x miles, the cost equation is:
A(x) = $75 + $0.10*x
For plan B we will have the similar equation:
B(x) = $100 + $0.05*x
The cost is the same in both plans when:
A(x) = B(x)
So we need to solve the linear equation:
$75 + $0.10*x = $100 + $0.05*x
$0.10*x - $0.05*x = $100 - $75
$0.05*x = $25
x = $25/$0.05 = 500
So we conclude that for 500 miles, both plans will have the same cost.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
Step-by-step explanation:
<u>Step 1: Define</u>
<u>Step 2: Simplify</u>
- [Fraction - Numerator] Factor:
- [Fraction] Reduce:
Answer:
(x - 1)(x + 1)(x² + 1)
Step-by-step explanation:
Step 1: Factor Difference of Squares
(x² - 1)(x² + 1)
Step 2: Factor Difference of Squares for non-complex binomial root
(x - 1)(x + 1)(x² + 1)
And we have our answer!
We know that
[LA]=pi*r*l
where
LA is the lateral area of the cone
r is the radius
l is the slant height
l=LA/(pi*r)
r=15.1 cm
LA=555*pi cm²
l=(555*pi)/(pi*15.1)----> l=36.75 cm
the answer is
the slant height is 36.75 cm
