We know that
if two lines are perpendicular
then
m1*m2=-1
where
m1 and m2 are the slopes of the lines
step 1For <span>Y=(1/2)X-1
</span>slope m1=(1/2)
so
m2=-1/m1-----------> m2=-1/(1/2)-------> m2=-2
step 2
with m=-2 and the point <span>(2,5) find the equation of the line
y-y1=m*(x-x1)------> y-5=-2*(x-2)-----> y=-2x+4+5------> y=-2x+9
the answer isy=-2x+9
see the attached figure</span>
<span>We dissect each statement from the problem above to fully understand it.
the sum of a number and 7 is (x + 7)
3 times this is 3(x + 7)
is means the equal sign here </span><span>3(x + 7) = </span><span>
Two less then 5 times the number is 5x - 2.
Therefore, the answer is B, 3(x + 7) = 5x - 2</span>
Answer:
x = 
Step-by-step explanation:
Given
x - 2
=
( change mixed number to improper fraction )
x -
= 
Multiply through by 36 ( the LCM of 4 and 18 ) to clear the fractions
36x - 81 = 2 ( add 81 to both sides )
36x = 83 ( divide both sides by 36 )
x = 