Here, Coordinates are: (35, 600) & (47, 800)
Now, Slope (m) = y2 - y1 / x2 - x1
m = 800 - 600 / 47 - 35
m = 200 / 12 = 100 / 6
m = 50/3
Take any one coordinate into slope-intercept formula:
y - y1 = m(x - x1)
y - 600 = 50/3 (x - 35)
y - 600 = 50x/3 - 1750/3
y = 50x/3 + 50/3
In short, Your Answer would be: y = 50x/3 + 50/3
Hope this helps!
Answer:
y=-x+4
Step-by-step explanation:
3-5/1-(-1) = -1
(y-(-1)) = -1(x-5)
y+1 = -x+5
y= -x +5-1
y= -x + 4
Answer:
y=3x-5
Step-by-step explanation:
parallel means that both lines share the same gradient.
from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form
now substitute values into formula
y-y1=m (x-x1)
y--2=3 (x-1)
expand brackets and simplify
y+2=3x-3
subtract 2 from both sides of equation
y=3x-5
Answer: length of rectangular parking lot = 24 yards
Width of rectangular parking lot = 20 yards.
Step-by-step explanation:
Let L represent the length of the rectangular parking lot.
Let W represent the width of the rectangular parking lot.
The rectangular parking lot has a length that is 4 yards greater than the width. It means that
W = L - 4
The formula for determining the area of a rectangle is expressed as
Area = LW
The area of the parking lot is 480 square yards.. It means that
LW = 480- - - - - - - - - - 1
Substituting W = L - 4 into equation 1, it becomes
L(L - 4) = 480
L² - 4L = 480
L² - 4L - 480 = 0
L² + 20L - 24L - 480 = 0
L(L + 20) - 24(L + 20) = 0
L - 24 = 0 or L + 20 = 0
L = 24 or L = - 20
Since the length cannot be negative, then L = 24
W = L - 4 = 24 - 4
W = 20
2sinxcosx is equal to sin(2x)
therefore,
= sin(2x)/cos(2x)
= tan(2x) (ANSWER)