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
Answer:
It's B.) 1518
using fraction calculator**
As a positive improper fraction (numerator > denominator):
18/15 = 6/5
As a mixed number
(a whole number and a proper fraction, of the same sign):
18/15 = 1 1/5
As a decimal number:
18/15 = 1.2
As a percentage:
18/15 = 120%
Step-by-step explanation:
Joe has earned $702 in total
To work through this problem, we can first calculate how much money Joe earned at regular pay:
40 (number of hours) x 13.5 (pay rate) = 540 (in dollars)
Now, before we figure out how much he earned working overtime, we must calculate his overtime pay rate (time and a half). We do this by multiplying his normal pay rate by 1.5:
13.5 x 1.5 = 20.25 ($/hr.)
Now we can calculate his overtime total:
8 (number of hours) x 20.25 (overtime pay rate) = 162 (in dollars)
So, to find the total amount of money Joe earned, we have to add the two totals together:
540 + 162 = 702
Thus, Joe has earned $702 in total
Hope this helped!
Answer:
0.75 or... 3/4 of a cup
Step-by-step explanation:
If helpful please give me brainliest.
Not sure what exactly you meant, so i solved for both possibilities...
Answer: a=-2
assuming you mean a+2/2=-1.....
a+2/2=-1
simplify..
a+1=-1
subtract 1 from both sides
a=-2
____________________
Answer: a=-4
assuming you mean (a+2)/2=-1...
(a+2)/2=-1
simplify...
a/2+2/2=-1
simplify
a/2+1=-1
subtract 1 from both sides
a/2=-2
multiply both sides by 2
a=-4