Answer:
x-2y=4
Step-by-step explanation:
So from the question we know the following:
When something is x intercept it means y=0 so we have (4,0)
When something is y intercept it means x=0 so we have (0,-2)
Now you use these to find the slope using the formula m= (y2-y1)/(x2-x1)
Plug in the values
m= (-2-0)/0-4)
m=(-2/-4)
m= 1/2
x-2y=4
Now you just plug this in slope intercept form y=mx+c, where c is y intercept
y=1/2 x -2
Standard form: ax+by=c
y=1/2 x -2 (rearrange to match the above equation)
-1/2 x +y =-2 (multiply both sides by 2 because we can't have a fraction for a in the standard form)
-1x+2y=-4 (now multiply both sides by -1 because a cannot be negative)
x-2y=4
Magnitude of the net displacement: 7.0 miles
Step-by-step explanation:
In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.
Taking x as positive x direction and y as positive north direction:
- The first motion is 3 miles due east, so
- The second motion is 5 miles at 
east of north, so:
So the components of the net displacement are
And so the magnitude of the net displacement is
So, he is 7.0 miles far from the house.
Learn more about distance and displacement:
brainly.com/question/3969582
#LearnwithBrainly
Answer:
45/1
Step-by-step explanation:
45x is the rate at which the line goes up
Hey there!!
A chicken has 1 head and 2 feet . A goat has 1 head and 4 feet
For heads, total = 40
Let us take the number of chickens as ' x ' and goats as ' y '
x + y = 40 ------------- ( 1 )
2x + 4y = 150 ----------- ( 2 )
Multiply the first equation with 2
2x + 2y = 80
2x + 4y = 150
Subtract the first equation from the first
2y = 70
y = 35
Number of goats = 35
substitute this in other equation
x + y = 40
x + 35 = 40
x = 5
Number of chickens are 4
Hope it helps!
