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vichka [17]
4 years ago
9

What are the first five terms of an arithmetic sequence if a 17 = ‒40 and a 28 = ‒73? A. 8, 11, 14, 17, 20 B. 8, 5, 2, ‒1, ‒4 C.

‒8, ‒11, ‒14, ‒17, ‒20 D. ‒8, ‒5, ‒2, 1, 4
Mathematics
1 answer:
Allisa [31]4 years ago
3 0
The common difference
(-73 - -40)/(28 - 17) = -3
Term a1: -40 - (-3*(17-1)) = 8
Term a2: 8+-3=5
Term a3: 2
Term a4: -1
Term a5: -4
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A right cylinder has a radius of 3 and a height of 12. What is its surface area?
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Answer:

Surface Area = 283

Step-by-step explanation:

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Height = 12

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let "r" be for radius

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SA=2*π*3*12+2*π*3^2

SA=282.74

round to the nearest ones spot and that will make the surface area = 283

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Pls give answer with formulas and steps 4/9 ÷ -5/7
katrin [286]

9514 1404 393

Answer:

  -28/45

Step-by-step explanation:

<u>Step 1, the sign</u>

When the fractions have an odd number of minus signs (1, not 0 or 2), the result will be negative. This knowledge lets you ignore the sign while you do the rest of the arithmetic. The appropriate sign is applied to the final numbers.

<u>Step 2, the formula</u>

The ratio (a/b)÷(c/d) is (ad)/(bc). There are several ways you can get there:

⇒ "invert and multiply" or "swap dot"

  \dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\,\cdot\,\dfrac{d}{c}=\dfrac{ad}{bc} \quad\text{division is multiplication by the reciprocal}

⇒ "numerators of a common denominator"

  \dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ad}{bd}\right)}{\left(\dfrac{bc}{bd}\right)}=\dfrac{ad}{bc}

⇒ "swapped denominators of a common numerator"

  \dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ac}{bc}\right)}{\left(\dfrac{ac}{ad}\right)}=\dfrac{ad}{bc}

The use of common numerators or common denominators is most often seen when the numerator or denominator of one fraction is a multiple of that in the other fraction. <em>Example</em>: (2/3)÷(1/6) = (4/6)÷(1/6) = 4/1 = 4

<u>Step 3, reduce the result</u>

Any of these fractions is reduced by cancelling common factors from numerator and denominator. Your fractions here don't have any common factors, so there is nothing to cancel.

_____

Your product is ...

  (4/9) ÷ (-5/7) = -(4·7)/(9·5) = -28/45

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3 years ago
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