Part A:
Slope of line is given by vertical distance ÷ horizontal distance
Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10
slope of the line = -5 ÷ -10 = 0.5
---------------------------------------------------------------------------------------------------------------
Part B
The point-slope form is given by
(y - y₁) = m (x - x₁)
We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have
(y - 9) = 0.5 (x - 8)
----------------------------------------------------------------------------------------------------------------
Part C
The slope-intercept form is given by the equation
y = mx + c
Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B
y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form
No he is not because 0.5 would be 0.50 and 0.05 is lower than 0.5
The answer: (D)
Explorer acc nss as time yyy has a new one in the middle school in the school and is the junior high junior in junior high junior college
(4/3) Pi r^3 = (1/3) Pi r^2 h
Solving for h = 4r
Answer:
minutes.
Step-by-step explanation:
Let t represent time taken by cold water faucet in minutes to fill the tub.
Part of tub filled by cold water faucet in one minute would be 
.
We have been given that it takes the hot water faucet 15 minutes to fill the tub by itself, so art of tub filled by hot water faucet in one minute would be 
.
We are also told that left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub, so part of tub filled by both faucets in one minute would be 
.
We can represent part of tank filled by both faucets in one minute as:
Therefore, it will take 7.5 minutes for the cold water faucet to fill the tub alone.
