Answer: -6
Step-by-step explanation:
-6
Answer:
1.928
Step-by-step explanation:
I am subtracting the amount it took to make the phone, from the amount they sell the phone to a customer for.
115-(30+20)=x
115-50=x
65=x
Answer:
y = -2x + 14
Step-by-step explanation:
Step 1: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = -2x + b
We are given a point (x, y) of (5, 4), so plug that in and solve for b.
4 = -2(5) + b
4 = -10 + b (simplify)
14 = b (add 10 to both sides to isolate b)
So the equation of our line is y = -2x + 14
Answer:
6 ft
Step-by-step explanation:
Since the shape of the cables on the bridge are to open up, the standard equation of the parabola produced is given as:
(x - h)² = 4p(y - k)
Where (h, k) is the vertex and focus is at (h, k+p)
From the question, the point (0, 2) is the vertex and point (50, 27) lie on the parabola. Hence:
(x - 0)² = 4p(y - 2)
x² = 4p(y - 2).
Sinc the tower is 100 ft apart and 27 ft height, hence the point 100/2 = 50 ft and 27 ft lie on the parabola
To find p, use (50, 27)
50² = 4p(27 - 2)
2500 = 4p(25)
100p = 2500
p = 25
hence:
x² = 4(25)(y - 2)
x² = 100(y - 2)
At a point of 20 feet (i.e x = 20), y is the height of the cable, hence:
20²=100(y-2)
400 = 100y - 200
100y = 600
y = 6
The height is 6 ft at a point of 20 ft
