Answer:
Quadratic, because the height increases and then decreases.
Step-by-step explanation:
In an exponential function, the graph will either increase or decrease over the entire domain. It does not change direction.
We can see from the table that the heights increase and then decrease; this means it cannot be an exponential function.
A quadratic function has a graph that is u-shaped. It will start out either increasing or decreasing, and then after the maximum or minimum is reached, it changes direction.
We can see from the table that this is what the heights do; this means it is a quadratic function.
<h3>
Answer: -2w^2 + 25w = 25 or -2w^2 + 25w - 25 = 0</h3>
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Explanation:
Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w.
The area of the rectangle is
Area = length*width
Area = L*W
Area = (25-2w)*w
Area = 25w - 2w^2
Area = -2w^2 + 25w
Set this equal to the desired area (25 square meters) to get
-2w^2 + 25w = 25
and we can subtract 25 from both sides to get everything on one side
-2w^2 + 25w - 25 = 0
side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)
X^2/2 = 7x
x^2 = 14x
x^2 - 14x = 0
A quadratic equation is of the form ax^2 + bx + c
Therefore, in 3x^2 + 5x + 7, c = 7
You would be subtracting by 5 so the next three would be -16, -21, -26
Answer:
82.4 cm
Step-by-step explanation:
The computation of the height is given below:
As we know that each right triangle contains the top angle of 20 degrees
So, the right angle & the bottom corner angle equivalent to
= 180 - 90 - 20
= 70 degrees
Now the height is
tangent = opposite leg ÷ adjacent leg
tan (70°) = height ÷ 30 cm
height = 30 cm × tan (70°)
= 82.4 cm
