Answer:
Step-by-step explanation:
Andrew and Ryan spend a total of $44 at a state fair. There is an entrance fee of x dollars per person, and each ride costs $3.5
0. If they went on the same number of rides, which equation correctly represents this relationship, where n is the number of rides? Choose all that apply.
A. x + 7n = 44
B. 2(x + n) = 44
C. 2(x + 3.5n) = 44
D. x + 3.50n = 44
E. 2x + 7n = 44
F. 2x + 3.50n = 44
A. x + 7n = 44
B. 2(x + n) = 44
C. 2(x + 3.5n) = 44
D. x + 3.50n = 44
E. 2x + 7n = 44
F. 2x + 3.50n = 44
2 answers:
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Answer:
The general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .
Step-by-step explanation:
The standard form of equation of circle.
Where (h,k) is the centre of a circle and r is the radius.
As given
The center of a circle is located at (3, 8), and the circle has a radius that is 5 units .
Put in the formula
(By using the formula (a - b)² = a² + b²- 2ab)
As 5² = 25
x² + 9 - 6x + y² + 64 - 16y = 25
x² + y² - 6x - 16y + 9 + 64 = 25
x² + y² - 6x - 16y + 73 = 25
x² + y² - 6x - 16y + 73 - 25 = 0
x² + y² - 6x - 16y + 73 - 25 = 0
x² + y² - 6x - 16y + 48 = 0
(As the general equation of a circle are in the form x² + y² + Ax +By + F =0 Where A,B and C are constant .)
Therefore the general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .
To solve this we can take two different approaches:
1. We can substitute theta by 30° and evaluate our expression using a calculator:
2. We can use the unitary circle and the fact that
, so we can rewrite our expression as follows:
From our unitary circle we can check that
and 
.
Lets replace those values in our expression and simplify:
Either way we can conclude that the correct answer is: D)8.7
1. We can substitute theta by 30° and evaluate our expression using a calculator:
2. We can use the unitary circle and the fact that
From our unitary circle we can check that
Lets replace those values in our expression and simplify:
Either way we can conclude that the correct answer is: D)8.7