comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

so substituting the value of m in to the equation

=

as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
<span>The speed v of a gear varies inversely as the number of teeth t
</span>
if a gear that has 42 teeth makes 24 revolutions per minute
<span> Then a gear that has 24 teeth will make 42 revolutions.
Hope it helps!
</span>
Hey there! I'm happy to help!
Let's call our hamburgers h and our cheeseburgers c and set up a system of equations to solve.
c+h=512
c=3h
Let's plug this value of c into the first equation to solve for h.
3h+h=512
4h=512
Divide both sides by 4.
h=128
Therefore, 128 hamburgers were sold on Wednesday.
Have a wonderful day! :D
Answer:
D
Step-by-step explanation:
Cmon man, your not even trying.
3(x+6) is x+6+x+6+x+6 or 3x + 3(6).
That simplified is 3x + 18