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:
The high school graduating class changed by approximately 23%
Step-by-step explanation:
we have
The high school graduating class of 2010 was 260 people
Five years later the high school graduating class was 320 people.
we know that
260 people represent the 100%
so
The difference is (320-260)=60 people
using proportion
Find out what percentage represent 60 people
Let
x ----> the percentage that represent 60 people
therefore
The high school graduating class changed by approximately 23%
Answer:
7m-3
Step-by-step explanation:
first, distribute
m+3m+3m-3
then, combine all like terms
m+6m-3
7m-3
i hope this helps! have a nice day!
Answer:
16.
Step-by-step explanation:
The highest common factor between the two is 16.
Answer: See below
Step-by-step explanation:
x, amount of cashews
39-x, amount of Brazil nuts
Amount of cashews = 15.99 - 16 lbs
Amount of Brazil nuts = 39 - x = 23.01 lbs