Select the correct answer. Which expression is equivalent to this polynomial? 15x − 24 A. 5(3x − 8) B. 3(5x − 5) C. 3(5x − 24) D
2 answers:
Answer: OPTION D.
Step-by-step explanation:
Given the following polynomial:
You can find an equivalent expression by factoring out the Greatest Common Factor (GCF).
In order to find the Greatest Common Factor, you need to descompose the coefficients 15 and 24 into their prime factors:
You can observe that the Greatest Common Factor is:
Then, factoring out 3, you get:
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Based on the calculations, the area of the shaded region is equal to 22 square foot.
<h3>How to calculate the area of the shaded region?</h3>By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:
Area of shaded region = Area of square - Area of circle.
<u>Note:</u> The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.
Radius = diameter/2 = 10/2 = 5 feet.
For the area of square, we have:
Area of square = S²
Area of square = 10²
Area of square = 100 square foot.
For the area of circle, we have:
Area of circle = πr²
Area of circle = 3.14 × 5²
Area of circle = 78.5 square foot.
Substituting the parameters into the formula, we have;
Area of shaded region = Area of square - Area of circle.
Area of shaded region = 100 - 78.5
Area of shaded region = 21.5 ≈ 22
Area of shaded region = 22 square foot.
Read more on area of circle here: brainly.com/question/2278809
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<h3>Complete Question:</h3>Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.
