Answer: 585 miles
Step-by-step explanation: 60 x 7 for the first 7 hours = 420 miles, then 3 x 55 for the last 3 hours = 165 add them together, 420+265 you get= <u>585</u>
Answer:
C. y=1/2x+2
Step-by-step explanation:
1. Find the slope using the slope formula.
Slope formula: y2-y1/x2-x1
Let the y-value in the second ordered pair (4,4) be y2, and the 3 in the first ordered pair (2,3) be y1. 4 and 2 from these ordered pairs will be x2 and x1.
Plug these values into the equation and simplify.
4-3/4-2
=1/2
Slope is 1/2
2. Choose one of the ordered pairs and plug those numbers and the slope into the point-slope formula.
Point slope formula: y-y1=m(x-x1). M represents the slope, and the x1 and y1 represent the values of the ordered pair.
Let's use the pair (4,4).
y-4=1/2(x-4)
3. Simplify the equation to convert to y=mx+b format.
Multiply the inside of the parentheses by 1/2.
y-4=1/2x-2
Add 4 to both sides.
y=1/2x+2
3. C is your answer, for it matches what you found in the calculations.
Distance from the point (x,y) to the focus = distance of (x,y) from the directrix
so we have
sqrt [(x - 2)^2 + y2] = 12 + y
squaring both sides
x^2 - 4x + 4 + y^2 = 144 + 24y + y^2
x^2 - 4x + 4 = 144 + 24y
24y = x^2 -4x - 140
y = x^2/24 - x/6 - 35/6 is the required equation
Solve for m by simplifying both sides of the equation, then isolating the variable.
m = 66
