By definition we have to:
A set has under an operation if performance of that operation on set members always produces a member of the same set; in this case we also say that the set is closed under the operation.
For this case we have the following polynomials:
![4x ^ 2 x ^ 2 + 3x + 7](https://tex.z-dn.net/?f=4x%20%5E%202%0A%0Ax%20%5E%202%20%2B%203x%20%2B%207)
Multiplying we have:
![(4x ^ 2) (x ^ 2 + 3x + 7) = 4x ^ 4 + 12x ^ 3 + 28x ^ 2 ](https://tex.z-dn.net/?f=%284x%20%5E%202%29%20%28x%20%5E%202%20%2B%203x%20%2B%207%29%20%3D%204x%20%5E%204%20%2B%2012x%20%5E%203%20%2B%2028x%20%5E%202%0A)
The product of two polynomials is also a polynomial.
Answer:
d
is a polynomial
The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
<h3>What is the distance between two points?</h3>
The distance between two points is defined as the length of the line segment between two places representing their distance.
Given AB with coordinates A(-4,5) and B(12,13).
The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².
x₁ = -4, y₁ = 5
x₂ = 12, y₂ = 13
distance = √ (12 – (-4))² + (13 – 5)²
distance = √ (12 + 4)² + (8)²
distance = √ (16)² + (8)²
distance = √ (256 + 64)
distance = √320
distance = 17.88 units
The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
Learn more about the distance between two points here:
brainly.com/question/15958176
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Answer:
Step-by-step explanation:
(7y)² = 7²×y² = 49y²
33km total / 3 hours total = 11 km/hr average
The Alpitude is 5 because that is what the positive slope is. The Vertex is (2,6) because that is the lowest point on the graph. The equation is
y=5lx-2l-6 (lx-2l reprsents the absolute value of x-2)