Answer:
A
Step-by-step explanation:
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1 ) They are perpendicular.
2 ) m · (-1) / m = -1.
The product of the slopes is -1.
3 ) The center of the circle is ( 2, 2 ).
4 ) m = (6-2 ) / 5 -2 = 4/3
5 ) Slope of the tangent: m = - 3/4.
6 ) m = -3/4, passes through the point: ( 5. 6 ):
6 = - 15/4 + b
b = 24/4 + 15/4
b = 39/4
The slope-intercept equation is:
y = -3/4 x + 39/4
7) We will put : x = 0 in the linear equation.
8 ) We will put y = 0 in the linear equation.
9 ) y-intercept : y = 9.75
Zero: x = 13.
Answer:
The independent variable is the number of cars
the band washes and the dependent is the number of money they earn
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one student ticket.
On the first day of ticket sales the school sold 24 adult tickets and 3 student tickets for a total of $223.00. This means that
24x + 3y = 223 - - - - - - - - - - - -1
The school took in $152 on the second day by selling 7 adult tickets and 6 student tickets. This means that
7x + 6y = 152 - - - - - - - - - - - - - -2
Multiplying equation 1 by 6 and equation 2 by 3, it becomes
144x + 18y = 1338
21x + 18y = 456
Subtracting, it becomes
123x = 882
x = 882/123
x = 7.17
Substituting x = 7.17 into equation 2, it becomes
7 × 7.17 + 6y = 152
50.19 + 6y = 152
6y = 152 - 50.19 = 101.81
y = 101.81/6 = 16.97