Answer:
Step-by-step explanation:
Answer: Option D. y+2x=3
Solution
If a line with a slope of -2:
Slope: m=-2
crosses the y-axis at (0,3):
(0,3)=(0,b)→b=3
What is the equation of the line?
y=mx+b
Replacing the known values:
y=-2x+3
Adding 2x both sides of the equation:
y+2x=-2x+3+2x
y+2x=3
⇒ x - 6 = 2x + 26
⇒ x = -32
⇒ This Equation has One Solution
So, It matches with A in Column B
2. 2 + 6x - 7 = 8 + 2x - 10 + 4x
⇒ 6x - 5 = 6x - 2
As, They are Equations of Parallel Lines. They never meet each other.
⇒ This Equation has No Solution
⇒ So, It matches with B in Column B
3. 15x + 25 = 15x + 10
As, They are Equations of Parallel Lines. They never meet each other.
⇒ This Equation has No Solution
⇒ So, It matches with B in Column B
4. 16 + 8x = 4(2x + 4)
⇒ 16 + 8x = 16 + 8x
As, Both Equations are Same. They Represent the Same Line.
⇒ This Equation has Infinite Number of Solutions
⇒ So, It matches with C in Column B
Answer:
Step-by-step explanation:
Given the following :
Laps - - - - - - - - 5 - - - 6 - - - 7 - - - 8 - - - 9
Total time - - - 25 - - 28 - - 29 - - 30 - - 32
Using online graphing tool:
The y - axis named dependent variable represents the total time taken.
The x-axis, represents the number of laps.
The equation of the trend line attached to the plot is in the form :
y = mx + c
y = 1.6x + 17.6
Where y = total time taken
x = number of laps
m = 1.6 = gradient of the line (change in y / change in x)
C = 17.6 = intercept (whee the trndline intersects the y-axis).
Answer:
Step-by-step explanation:
You can find the area by cutting it across in the middle into a trapezoid and a rectangle.
The trapezoid will have:
height = 10-4 = 6ft
top = 9-6 = 3ft
bottom = 8ft
So its area = 1/2*(3+8)*6 = 33 ft^2
The rectangle will have:
length = 10ft
width = 6ft
So its area = 10*6 = 60 ft^2
Total area = 60+33 = 93 ft^2