This is the concept of quadratic equations, to find out whether the two expressions we need to expand each of them:
(x)=(25+10x)(300-36x)
(x)=25(300-36x)+10x(300-36x)
(x)=7500-900x+3000x-360x^2
(x)=7500+2100x-360x^2
Expanding equation 2?
(x)=(100+20x)(100-12x)
(x)=100(100-12x)+20x(100-12x)
(x)=10000-1200x+2000x-240x^2
(x)=10000+800x-240x^2
considering the lead coeffienct
7500+2100x-360x^2≠10000+800x-240x^2
The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 198.5714 cm².
<h3>What is an area?</h3>
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The area of the composite figure is the sum of the area of the circle and the area of the rectangle.
Area = Area of circle + Area of rectangle
= (π×5²) + (10×12)
= 78.5714 cm² + 120 cm²
= 198.5714 cm²
Hence, the area of the composite figure is 198.5714 cm².
Learn more about the Area:
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<h3>
Answer: 36/169</h3>
How to get that answer:
We have 6 red out of 5+6+2 = 13 total.
The fraction 6/13 represents the probability of selecting red at random.
Because the marble is replaced, the probability does <u>not</u> change on the next selection.
The probability of getting two reds in a row is (6/13)*(6/13) = 36/169
It is a line that intersects the circle at exactly two points on the diameter
Reasons.
A radius cannot be defined as a segment because a segment does not go through the center of the circle. A radius also does not touch two parts of a circle.