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STALIN [3.7K]
3 years ago
13

Express (x-9)^2 as trinomial in standard form

Mathematics
2 answers:
liq [111]3 years ago
7 0
= (x - 9)(x - 9)
= x(x - 9) - 9(x - 9)
= x^2 - 9x - 9x + 81
= x^2 - 18x + 81  Answer
Ray Of Light [21]3 years ago
5 0

{x}^{2}  - 18x + 81
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The perimeter of the blueprint is represented by the equation P=8x. What is the equation of the perimeter when solved for x
Korvikt [17]

Answer:

x = P/8

Step-by-step explanation:

The perimeter of the blueprint is given by the equation :

P = 8x

We need to solve the above equation for x.

Dividing both sides of the equation by 8.

\dfrac{P}{8}=\dfrac{8x}{8}\\\\x=\dfrac{P}{8}

Hence, the value of x is P/8

5 0
3 years ago
The following parts refer to the letters: LAMEFIREALARM. Recall that "word" means distinguishable letter arrangements. (a) How m
larisa86 [58]

Answer:

Step-by-step explanation:

The word "LAMEFIREALARM" word consists of

2L , 2M, 2E , 2R , 3A , F and I

no of words with the above letters such that M's are not together

=Total No of words- M's are together

Total no of words=\frac{13!}{4\times 2!\times 3!}=64,864,800

When M's are together . considering 2 M's as one

therefore there are \frac{12!}{3\times 2!\times 3!}=9,979,200

No of ways=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}=54,885,600

(b)No of ways such that M's are separated by at least 2 letters

at least  2 letter means 2 letter, 3 letter ......11 letters

So we have to subtract no of ways where there are 1 letter in between M's from total no of ways where 2 M's are not next to each other

No of ways in which there is 1 letter between 2 M's

This can be done by considering 11 cases

In first case Place first M in Starting Position and 2 M on third place

Second case place First M in 2 nd Position and second M on 4 th place

Similarly For 11th case

Place first M in 11th place and second M on 13th place

Total ways

=\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

So , the total number of arrangements of the letters of the word LAMEFIREALARM where the two M's are separated by atleast two letters is

=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}-\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

=45738000

7 0
2 years ago
Please help!!! 40 pts The principal represents an amount of money deposited in a savings account subject to compound interest at
Eva8 [605]
Ok I’m done what can I send it on
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3 years ago
1 r 2 (the symbol is pi) is the formula to find the area of a
vaieri [72.5K]

Answer:

d: circle

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

3 0
3 years ago
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Which shape does the intersection of the vertical plane with the prism look like?
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Answer:

it looks like an triangle in the option above lol

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2 years ago
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