2 years ago

Use the distributive property to simplify the following expression: 3xy(5xy + 3x + 4y + 9)

Mathematics

1 answer:

Darina [25.2K]2 years ago

3 0

Answer:

15x^2y^2+9x^2y+2xy^2+27xy

Step-by-step explanation:

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A rectangular park is 40 m long and 24 m wide. A path 3m wide is constructed outside the park. Find the area of the path?

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area of path is area of park with path - area of rectangular park

area of park =l x b= 45 x 30=1350 cm2

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area of path = 1750-1350=400 cm2

Step-by-step explanation:

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J. Reexamine the sequence 20, 14, 8, 2, ... from the problem

DENIUS [597]

Answer:

The n th of the given sequence is $t_{n} = 26-6 n$

Step-by-step explanation:

<u>Step 1</u> :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference is $d = second term- first term = 14-20=-6$

now the nth term of given sequence is

by using formula $t_{n}=a+(n-1)d$

$t_{n}= 20+(n-1)(-6)$

$t_{n}= 20-6 n+6$

final answer:-

$t_{n} = 26-6 n$

<u>verification</u>:-

$t_{n} = 26-6 n$

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

$t_{n} = 26-6 n$

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