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ivolga24 [154]
3 years ago
15

What is the product? (-2d^2+s)(5d^2-6s)

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

Answer:

Option 1: -10d⁴ + 17d²s - 6s²

General Formulas and Concepts:

<u>Algebra I</u>

  • Terms/Coefficients
  • Expand by FOIL

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(-2d² + s)(5d² - 6s)

<u>Step 2: Expand</u>

  1. FOIL:                                                                                                                  -10d⁴ + 12d²s + 5d²s - 6s²
  2. Combine like terms:                                                                                         -10d⁴ + 17d²s - 6s²
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If the pth term of an arithmetic progression is q and qth term is p then the (p+q) th term is 0.

Given that the p th term of an A.P is q aand q th term is p.

We are required to find the (p+q) th term of that A.P.

Arithmetic progression is a sequence in which all the terms have common difference between them.

N th term of an A.P.=a+(n-1)d

p th term=a+(p-1)d

q=a+(p-1)d-------1

q th term=a+(q-1)d

p=a+(q-1)d---------2

Subtract equation 2 by 1.

q-p==a+(p-1)d-a-(q-1)d

q-p=pd-qd-d+d

q-p=d(p-q)

d=(p-q)/(q-p)

d=-(p-q)/(p-q)

d=-1

Put the value of d in 1.

q=a+(p-1)(-1)

q=a-p+1

a=q+p-1

(p+q) th term=a+(n-1)d

=q+p-1+(p+q-1)(-1)

=q+p-1-p-q+1

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Hence if the pth term of an A.P is q and qth term is p then the (p+q) th term is 0.

Learn more about arithmetic progression at brainly.com/question/6561461

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8 0
2 years ago
Aminer started at 8 feet above sea level
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Answer:

-15 ft or 15 ft below sea level

Step-by-step explanation:

He started at +8 ft.

Then he went 23 ft down, that is -23 ft.

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The correct answer should be B.

However, since these only involve addition, the parentheses do not actually make a difference in the answer.

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