Answer:
Step-by-step explanation:
Given
Required
Determine the coordinates of the centroid
Represent the coordinates with C.
C is calculated as follows:
Substitute values of x and y in the given equation
<em>The above is the coordinate of the centroid</em>
To write this expression as a positive exponent we use this rule of exponents: x^color(red)(a) = 1/x^color(red)(-a) 5^-3 = 1/5^(- -3) .
Answer:
7.45
Step-by-step explanation:
20 - 3.05 + (-9.5)
16.95 + (-9.5)
16.95 - 9.5
7.45
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
