Answer:
two real, unequal roots
Step-by-step explanation:
This is a quadratic equation. The quadratic formula can be used to determine how many and what kind of roots may exist:
Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0. In this case, a = 1, b = -2 and c = -8, so that the discriminant value is
(-2)^2 - 4(1)(-8), or 4 + 32 = 36.
Because the discriminant is real and positive, we know for certain that we have two real, unequal roots
Answer:
Step-by-step explanation:
Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

This parabola has vertex at (0,100) and symmetrical about y axis.
Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.
Hence coordinates of any rectangle are

Length of rectangle = 2a and width = 
Area of rectangle = lw = 
To find max area, use derivative test.

Hence maxima when first derivative =0
i.e. when a =2
Thus we find dimensions of the rectangle are l =4 and w = 96
Maximum area = 
2/3x +10.4 Is the answer to this question.
Answer:
Rectangular Pyramid
Step-by-step explanation:
we know that
A <u><em>rectangular pyramid</em></u> is a three-dimensional figure that has a rectangular base and four lateral triangular faces
so
The total number of faces is 5 (one rectangular face plus four triangular faces)
The total number of vertices is 5 (four at the base and one at the apex)
Answer:
8a
Step-by-step explanation:
group all similar terms
3a + 5a = 8a