Answer:
- Using the y-axis to represent pounds, and the x-axis to represent kilograms, the graph is straight line going through the origin with a slope of 2.2 lbs/kg.
Explanation:
A constant conversion factor, such as 1 kg 2.2 lb, means that the two units are in direct proportion; thus the graph is a straight line that goes through the origin.
The conversion factor also gives the slope of the line.
Depending on which axis you choose for either unit the slope may be 2.2 pounds per kilogram, or 1/2.2 kilogram per pound.
When you use the y-axis for pounds and the x-axis for kilograms then the relationship is:
In that case, the slope is 2.2 pounds per kilogram.
We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
Answer:
a > -2
Step-by-step explanation:
whenever we multiply, divide with "-" sign the inequality reverse its order
Those are supplementary,
(x+8) + (3x+2) = 180
4x + 10 = 180
4x = 170
x = 170/4 = 85/2 = 42.5 degrees
x+8 = 50.5 degrees
3x+2 = 129.5 degrees
I think I just answered this question yesterday
Answer:
xy1
Step-by-step explanation:
Correct option is C)
Given two equations are 2x+y+4=0 and x=3y+7=0
let us consider 2 equations ax+by+c=0 and mx+ny+p=0
By cross multiplication method ,the equations obtained will be ,
b×p−n×c
x
=
c×m−a×p
y
=
a×n−b×m
1
Thus comparing it with given 2 equations we obtain:
7−12
x
=
4−14
y
=
6−1
1
