Answer:
100.6
Step-by-step explanation:
We have the following equation:
y = -2x2 + 2x + 2
We look for the vertex of the parabola. For this, we derive the given equation:
y '= - 4x + 2
We match zero:
0 = -4x + 2
We clear x:
4x = 2
x = 2/4
x = 1/2
We evaluate the function for x = 1/2:
y = -2 * (1/2) ^ 2 + 2 * (1/2) + 2
y = 2.5
The vertice of the parabola is:
(x, y) = (1/2, 2.5)
We now look for the value of the function for x = 6:
y = -2 * (6) ^ 2 + 2 * (6) + 2
y = -58
Answer:
The vertice of the parabola is:
(x, y) = (1/2, 2.5)
the value of the function for x = 6 is:
y = -58
Answer:
Part a)
Part b)
Part c)
Part d)
Part e)
Step-by-step explanation:
we know that
The centroid of a triangle is the point where the three median.s coincide.
The centroid is located two thirds of the distance from any vertex of the triangle.
step 1
<em>Find the value of A.F.</em>
we know that
we have
substitute
Solve for A.F.
step 2
<em>Find the value of G.F.</em>
substitute the value of A.F
step 3
<em>Find the value of F.C. </em>
Remember that a median of a triangle is a line segment from one vertex to the mid-point on the opposite side of the triangle
so
we have
substitute
step 4
<em>Find the value of D.B.</em>
we have
substitute
step 5
<em>Find the value of G.B</em>
substitute the value of D.B.
Answer:
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