Answer:
y = 8x + 3
Step-by-step explanation:
The line we are describing here is line p;
slope of line p = 8
y- intercept = (0,3)
y-intercept of a line is the point where it crosses the y-axis. At this point, the x = 0
So;
Slope of the line = 8
y-intercept = 3
Equation of the line;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
y = 8x + 3
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Answer:
The length of the shadow is 48.28 feet.
Step-by-step explanation:
The flagpole at its shadow form a 46, 44, 90 triangle.
Let AB be the flagpole. AC is the shadow.
Let's use the sine law to calculate AC.
Answer:
c ≈ 0.00782852
, 3.99906481
Step-by-step explanation:
