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3 years ago

Is 87656432 divisible by 4? Is there a shortcut?

1 answer:

Natasha2012 [34]3 years ago

8 0

Hope this isn't too confusing

All of the numbers have different shortcuts.
1. Yes. Divisible by 4: if last two digits are divisible by 4 then the whole number is yes)
2. No. Divisible by 6: it must be even and when you add them up, (44) it must be divisible by 3 (no, 44 is not divisible by 3)
3. Divisible by 8: ( last 3 numbers are divisible by 8 (312) = 39 ( yes it is)
4 Yes. Divisible by 11: ( sum of digits at odd places and sum of digits at even spaces,is either 0 or divisible by 11) yes, 278949. (2+8+9) + (7+9+9)= 19 + 25 = 44 and 44 is divisible by 11)
5. No. Divisible by 12 (divisible by 3 and 4, sum of digits is divisible by 3 ; and last 2 digits divisible by 4: 87654395 : 52/3= 18 (yes) 95/4(no) this number not divisible by 12
6. No. Divisible by 15: divisible by 3 and 5 ..87654385 = 46/3 = 15..(No) divisible by 5 yes. The number is not divisible by 15

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What is the explicit formula for this geometric sequence with recursive formula

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generate the first few terms using the recursive formula

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$a_{3}$ = - $\frac{7}{3}$ × $\frac{1}{3}$ = - $\frac{7}{9}$

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Answer:

18 in^2

Step-by-step explanation:

1 )The three sides of the gutter add up to 12

2x+ y = 12

2) Subtract 2x from both sides.

y = 12 — 2x

3 )Find the area of the rectangle in terms of x and simplify.

Area = xy = x(12 — 2x) = -2x^2+12x = f(x)

4 ) x=-b/2a

x co-ordinate of the vertex= -12/2(-2)=3

5 )Plug in 3 for x into they equation.

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6 ) Plug in 3 for x and 6 for y.

Area= xy = 3(6) = 18

RESULT

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