Based on the chart, the correct options are:
- The production of coal decreased, while the production of solar increased; option D.
- Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource; option A
<h3>What is solar energy?</h3>
Solar energy is a type of renewable energy from the sun.
Solar energy is gradually being used to replace non-renewable energy sources such as coal.
Based on the chart:
The production of coal decreased, while the production of solar increased; option D.
Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource.
In conclusion, solar energy production is increasing.
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It is to be noted that the Area of the Triangle formed by the points of intersection of the Parabola derived from the equation y = a(x-3) (x+2) with the derived coordinates is 12.
<h3>
What is a Parabola?</h3>
In mathematics, a parabola is a symmetrical open plane curve generated when a cone meets a plane parallel to its side.
Under the influence of gravity, a projectile's journey follows a curve of this shape.
Solution:
Step I - recall that y=a(x-3)(x+2)
This means that the base of the triangle is: 3-(-2) = 5
It's Height is = 6a. We arrive at this value when we make x = 0 and utilize the absolute value of the derivation.
Given that the area of a triangle is:
y=a(x-3)(x+2), we therefore have the following equation:
12 = 1/2 * 5 * 6 * A
If A = 4/5, then the solution to our equation comes to 12.
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Answer:
B)x^3
Explanation:
Given,
(x^8)/(x^2)=y^12
We can simplify the following by bringing the (x^2) above the division line which makes the power negative.
(x^8)*(x^-2)=y^12
or,(x^(8-2))=y^12
or,x^6=y^12 .........(1)
The question is, (y^8)/(y^2)=
Simplifying the question,
(y^(8-2))
or,y^6
Now,from ...(1),
x^6=y^12
or,(x^3)^2=(y^6)^2
Removing the squares,
x^3=y^6
Thus,we get the answer of the question,
(y^8)/(y^2)=y^6=x^3