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Jobisdone [24]
3 years ago
6

The length of a side of an equilateral triangle is x-4.5.First express it's perimeter as a sum. Next express its perimeter as a

product. Explain why the two expressions are equvalent.
Mathematics
1 answer:
LiRa [457]3 years ago
8 0
The sides of an equilateral triangle are same. So if one of the sides is (x-4.5), all the sides are (x-4.5). 
Let the sides are a=(x-4.5), b=(x-4.5), c=(x-4.5)

1. Perimeter(as sum) = a+b+c
                                    =  (x-4.5)+(x-4.5)+(x-4.5)
                                    = x+x+x-4.5-4.5-4.5
                                    = 3x - 13.5
2. Perimeter (as product) = 3×a    
                                     = 3×(x-4.5)
                                     = 3×x - 3×4.5
                                     = 3x - 13.5
(you can write 3×b or 3×c also as a=b=c.)

<em>Both perimeter as sum and perimeter as product are same as adding a number three times is the same as multiplying it by 3.</em>
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aleksley [76]

Answer:

f(x)+g(x)=5x^{3} +4x^{2}+x-8

Step-by-step explanation:

Given:

Two functions are given:

f(x)=5x^{3} +3x^{2} -3

g(x)=x^{2} +x-5

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Solution:

f(x)+g(x)=(5x^{3} +3x^{2} -3)+(x^{2} +x-5)

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f(x)+g(x)=5x^{3} +4x^{2}+x-8

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6 0
3 years ago
Give an example of an infinite set.
Montano1993 [528]
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The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)
saw5 [17]

Answer: $19.6

Step-by-step explanation:

Linear function: f(x)=mx+c

, where  m= rate of change in f(x) with respect to x.

c = Initial value.

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x= Number of minutes calling time.

Then, 25.06= 38m+c   (i)

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Put m in (i) , we get

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i.e. f(x)=-0.13x+30

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a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip
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My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

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