13. Solve 5x - 7 = 5 - x using algebraic operations. Check your solution using a
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Answer:
(- ∞, 4 ]
Step-by-step explanation:
To determine the range we require the coordinates of the vertex
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To obtain the zeros, equate f(x) to zero, that is
-(x + 5)(x + 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 1 = 0 ⇒ x = - 1
=
=
= - 3
Substitute x = - 3 into f(x) for corresponding value of y
f(- 3) = - (- 3 + 5)(- 3 + 1) = - (2)(- 2) = 4
Vertex = (- 3, 4)
Since a = - 1 then vertex is a maximum, hence
range is (- ∞, 4 ]
For the parallelogram, the two non-congruent spanning triangles is shown in the image attached while one-third the area of the parallelogram is 16.
<h3>What is a parallelogram?</h3>A parallelogram is known to be a kind of quadrilateral angle that is said to be made up of its opposite sides been parallel and equal to one another.
Note that:
If you count the triangles inside the shaded portion is = 8
The triangles per parallelogram the shaded portion is = is 4 per sides
Therefore, to get the total numbers of triangles:
4 x 8 = 48
Since the parallelogram that has one-third the area of the parallelogram is 48.
Then 48 x 1/3 = 16.
Therefore, For the parallelogram, the two non-congruent spanning triangles is shown in the image attached while one-third the area of the parallelogram is 16.
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