Answer:
Step-by-step explanation:
<u>slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept
Given line: y= 2x +2
slope= 2
The product of the slopes of perpendicular lines is -1. Let the slope of the unknown line be m.
m(2)= -1
m= -1 ÷2
m= -½
Substitute the value of m into the equation:
y= -½x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= 3,
3= -½(4) +c
3= -2 +c
c= 3 +2
c= 5
Thus, the equation of the line is y= -½x +5.
Answer:
y=2
Step-by-step explanation:
2(y+1)= 2y+2 simplified
and
3(y-2) +6= 3y-6+6=3y simplified
so in the problem together it would be
2y+2 = 3y
you would first subtract 2y from each side wich would make it
2 = y
hope it helps :)
The trick is to realize what your choices are.
if m or n or both are divisible by 5, then 2mn will be divisible by 5
I don't know if you know about x mod(5), but in that case there can only be 4 possibilities for m and n
m mod (5) = +/- 2 or m mod(5) = +/- 1
In the first case m^2 = 4 mod(5) and in the second case m^2 = 1 mod(5) N has the same considerations.
If m and n have the same modular results (both are [say] 2 ) then m^2 - n^2 which be 0
If they are different, then (m^2 + n^2) mod 5 = 0
F(t) can be factored to find the zeros.
.. f(t) = -5(t -5)(t +2) . . . . f(t) = 0 for t=-2, t=5
The object hits the ground after 5 seconds.