Answer:
B. Faelyn should realize that her work shows that the polynomial is prime
Step-by-step explanation:
The polynomial 6x⁴ – 8x² + 3x² + 4 needs to be factored and the steps are:
Step 1: (6x⁴ – 8x²) + (3x² + 4)
Step 2: 2x²(3x² – 4) + 1(3x² + 4)
Since they do not have a common factor, Faelyn should realize that her work shows that the polynomial is prime. A prime polynomial cannot be factored further because it is at its lowest common term and cannot be factored into any other polynomial of a lower degree. Prime polynomials have integer coefficients. A prime polynomial is also referred to as an irreducible polynomial.
Answer:
B) 4,608.
Step-by-step explanation:
A square pyramid with the maximum volume that can fit inside a cube has a same base as a cube ( 24 cm x 24 cm ) . The height of the pyramid is also same as a side length of a cube ( h = 24 cm ).
The volume of the pyramid:
V = 1/3 · 24² · 24 = 1/3 · 576 · 24 = 4,608 cm³
Answer:
The maximum volume of the pyramid is 4,608 cm³.
Find the distance between the points t(13, 1.6)t(13, 1.6) and v(5.4, 3.7)v(5.4, 3.7).
1
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The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:
Thus the distance between points t(13, 1.6) and v(5.4, 3.7) is found using the formula as: