Assuming the equation is 3x-2y+4=0 then the equation of the line, solving for y in terms of x, gives y=3/2x+2 the slope of this line is 3/2 then the slope of a line that is perpendicular is -2/3 .An easy way to see this is to draw the line. By definition the slope, m=tan(α) where α is the angle the line makes with the x axis. Let L=slope of the perpendicular line then L=tan(β) but the two lines with the x axis form a right triangle hence α+π-β=π/2 so β=π/2+α and L=tan(β)=tan(π/2+α)=-cot(α) = -1/tan(α)=-1/m.In our problem m=3/2 so L=-2/3.The geometry becomes clear if you make a sketch of the two lines. Hope this helps
Answer:
5/12 > 3/8
Step-by-step explanation:
to see which is bigger, find the LCD of both fractions and whichever has the biggest numerator is the larger fraction.
the LCD of 5/12 and 3/8 is 24.
to get a denominator of 24 for 5/12 we would multiply the fraction by 2, which gives us 10/24
to get a denominator of 24 for 3/8 we would multiply the fraction by 3, which gives us 9/24.
10/24 > 9/24
looking back at the original fractions, 5/12 is the largest fraction
Answer:
0.08
Step-by-step explanation:
Just use a calculator
Y=4
Y=3
Y=2
Y=1
Y=0
Y=-1
Y=-2
Y=-3
Y=-4
