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nata0808 [166]
3 years ago
6

19. If the pg", and "terms of an A.P. are a,b, and c respectively. prove that: p(b-c) + (ca) + rſa-b) = 0 50 Approved by Curricu

lum Development Centre​
Mathematics
1 answer:
professor190 [17]3 years ago
4 0

Answer:

Step-by-step explanation:a = m + (p-1)*d

b = m + (q-1)*d

c = m + (r-1)*d

p(b-c) = p*(q-r)*d

q(c-a) = q*(r-p)*d

r(a-b) = r*(p-q)*d

p(b-c)+q(c-a)+r(a-b)

= p*(q-r)*d + q*(r-p)*d +r*(p-q)*d

= (pq-pr+qr-pq+rp-qr)*d

= 0*d = 0

So i prove p(b-c)+q(c-a)+r(a-b)=0 hope this is helpfull

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The table shows the charges for using an internet service. Nicholas use the internet service for 16 hours and 40 Minutes last mo
yanalaym [24]

Answer:

<u>A. Nicholas will have to pay less using plan A</u>

<u>B. He will pay US$ 4 less than plan B</u>

Step-by-step explanation:

Let's compare how much Nicholas will pay on internet service in Plan A and plan B, after using it 16 hours and 40 minutes.

Plan A

Up to 10 hours = US$ 6

Every subsequent 1/2 hour: $1

10 hours + 14 (1/2 hour)

<u>Nicholas will pay 6 + 14 * 1 = US$ 20</u>

Plan B

Up to 12 hours = US$ 4

Every subsequent 1/2 hour: $2

12 hours + 10 (1/2 hour)

<u>Nicholas will pay 4 + 2 * 10 = 24</u>

7 0
3 years ago
What are 5 words that contain the greek or Latin root/affix
blagie [28]
<span>ambi  for ambiguous.
aqua  for aquarium.
cent  for century.

bio for biology.
homo for homonym.

Hope this helps !

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5 0
3 years ago
Read 2 more answers
Find the distance between (4,6) and (-2, -2)
Nataly [62]

Answer:

\displaystyle d = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, 6)

Point (-2, -2)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute [DF]:                     \displaystyle d = \sqrt{(-2-4)^2+(-2-6)^2}
  2. Subtract:                                \displaystyle d = \sqrt{(-6)^2+(-8)^2}
  3. Exponents:                            \displaystyle d = \sqrt{36+64}
  4. Add:                                       \displaystyle d = \sqrt{100}
  5. Evaluate:                               \displaystyle d = 10
8 0
3 years ago
Read 2 more answers
Brooke has to set up 70 chairs in equal rows for the class talent show. But, there is not room for more then 20 rows. What are t
grin007 [14]

Answer:

The answer is 2, 5, 7, 10, and 14.


Step-by-step explanation:

Let x be the number of rows. There is not room for more than 20 rows:

x ≤ 20


Since all rows must be equal, when we divide 70 by x, we must get a whole number. So, we must find all divisors of 70 smaller or equal to 20 and they are: 2, 5, 7, 10, and 14.

So, the possibilities are:

2 rows with 35 chairs in each row

5 rows with 14 chairs in each row

7 rows with 10 chairs in each row

10 rows with 7 chairs in each row

14 rows with 5 chairs in each row

Hope this helps!!


~CoCo

7 0
3 years ago
Please help me pleaseee
devlian [24]
I’m pretty sure it’s CB since it’s going the opposite direction!! :)
6 0
3 years ago
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