all you gotta do is add.
t = 0, t + 7= 0
t= 0, t = -7
slope = -
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 7 is in this form with slope m = 2
this line is perpendicular to the side it bisects.
given a line with slope m then the slope of a line perpendicular to it is
= - = -
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).
since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:
84 < n + (n + 2) + (n + 4) < 96
in order to solve for 'n', we must first combine like terms:
84 < 3n + 6 < 96
subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90
divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.
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