Which of the following equations contains the point (8,5) and is perpendicular to the line y=2x-3
1 answer:
Answer:
y = - x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 3 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = - x + c ← is the partial equation
To find c substitute (8, 5) into the partial equation
5 = - 4 + c ⇒ c = 5 + 4 = 9
y = - x + 9 ← equation of line
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Answer:
27
Step-by-step explanation:
If 8 cars had all three of the extras, and 12 cars had both automatic transmission and power steering, the number of cars with ONLY automatic transmission and power steering is:
N(T + S) = 12-8 = 4
The number of cars had that had air conditioning and automatic transmission but not power steering is given by the number of cars that had automatic transmission subtracted by the number of cars that had only automatic transmissions, the number of cars with ONLY automatic transmission and power steering and the number of cars that had all three of the extras:
27 cars had air conditioning and automatic transmission but not power steering.