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4 years ago

Factorize completely: 5 - 45/a^2

Mathematics

1 answer:

mamaluj [8]4 years ago

7 0

$5- \frac{45}{a^2} = \boxed {5\left (1- \left (\frac{3}{a}\right)^2\right) }$

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Calculate s5 for the sequence defined by

pantera1 [17]

ANSWER

$S_5= 42.5$

EXPLANATION

The general term of the arithmetic sequence is

$a_n=1+\frac{5}{2}n$

For the first term,we substitute $n=1$ to get,

$a_1=1+\frac{5}{2}\times 1$

$a_1=1+2.5=3.5$

Similarly

$a_5=1+\frac{5}{2}\times 5$

$a_5=13.5$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(a_1+l)$

where l is the last term.
In this case

$l=a_5=13.5$

We substitute these values to get,

$S_5= \frac{5}{2} (3.5 + 13.5)$

$S_5= \frac{5}{2} (17)$
$S_5=42.5$

We could have also used the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

$S_5=\frac{5}{2}(2(3.5)+(5-1)2.5)$

$S_5=42.5$

3 0

4 years ago

Read 2 more answers

A movie screen has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the screen?

ololo11 [35]

Answer:

18 meters by 9 meters (or 9 meters by 18 meters)

Step-by-step explanation:

lets say the dimensions are x and y. we have x*y=162, and 2x+2y=54. from the second equation we have x+y=27 so y=27-x. plug this into the first equation to get x(27-x)=162 or -x^2 + 27x = 162. x^2 - 27x + 162 = 0. simplify to get (x-18)(x-9)=0. so x=18 or x=9. when x=18, y=9, when x=9, y=18 so the dimensions are 18 by 9 meters

3 0

3 years ago

On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mi/h relative to the riverbank. On the ret

vagabundo [1.1K]

Answer: C (ED 2020)

Step-by-step explanation:

C, s + c = 2.75

c - s = 1.5

.60 mi/h

7 0

3 years ago

HELP PLZZZZ !!!!!!!!!!!!

jeyben [28]

The answer to your question is B

4 0

3 years ago

What is the absolute value of |x-3|=2

Norma-Jean [14]

Answer:

5 or 1

Step-by-step explanation:

|x-3| = 2

x-3 = 2 or -2

x = 5 or 1

4 0

4 years ago