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xxTIMURxx [149]
3 years ago
8

1. Identify the name and label the parts of the following polynomial: -2x4+24x2-10

Mathematics
1 answer:
laiz [17]3 years ago
8 0
Please write this polynomial as P(x) = <span>-2x^4+24x^2-10, using " ^ " to denote exponentiation.

This is a fourth degree polynomial, since the highest power of x is 4.  Ordinarily, a fourth degree poly would have 5 terms, but here two of the coefficients of the powers of x are zero, leaving only 3 terms.

</span>The lead coeff. of  P(x) = -2x^4+24x^2-10  is -2.

The constant terms is -10.  The exponent of x here is zero (0).

The degree of the middle term is 2 (see 24x^2, above)

Would you please post your other questions separately.  Thank you.

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The mapping of DEFG to D'E'F'G' is shown. 2 parallelograms have identical side lengths and angle measures. The second parallelog
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Answer:

(A)EF corresponds to E'F'

(C)∠EDG Is-congruent-to ∠E'D'G'

(D)∠DEF Is-congruent-to ∠D'E'F'

(F)The transformation is a rigid transformation.

Step-by-step explanation:

Given:

  • Parallelogram DEFG is mapped to D'E'F'G'
  • DEFG and D'E'F'G' have identical side lengths and angle measures.

The following applies:

  • EF corresponds to E'F'
  • ∠EDG Is-congruent-to ∠E'D'G'
  • ∠DEF Is-congruent-to ∠D'E'F'

Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:

  • The transformation is a rigid transformation.

Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.

FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'

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