Answer:
A
Step-by-step explanation:
His speed change is the slope or -15, decreases by 15 miles/hour
when he starts, his speed is 0*-15+60 = 60 miles/hour
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
18. -500 + 250 = -250
19. -550 - 300 = - 850
20. 116 - (-50) = 116 + 50 = 166
21. 2500 + 1800 - 2200 = 2100
a) The vertices A, B, C of a triangle are (2, -1, -3), (4, 2, 3) and (6, 3, 4) respectively. Show that AB = (2,3,6) and AC = 9.
Sav [38]
Answer:
... a triangle are 2,-1,-3 4,2,3 and 6,3,4 respectively. If vector AB=2,3,6 vector AC=4,4,7 vector BC=2,1,1 , show that AB=7 AC=9 and BC= square root of 6.
Answer:
not sure if the top is negative or positive but;;
if the top is negative then the answer is F
Step-by-step explanation:
