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AfilCa [17]
2 years ago
10

Factorize the following: 9{p-q}²-25{q-r}²

Mathematics
1 answer:
anyanavicka [17]2 years ago
6 0

Step-by-step explanation:

Using the identity a² - b² = (a + b) (a - b)

=> (3 {p - q})² - (5 {q - r})²

=> [(3 {p - q}) + (5 {q - r})] [(3 {p - q}) - (5 {q - r})]

=> [(3p - 3q) + (5q - 5r)] [(3p - 3q) - (5q - 5r)]

=> [3p - 3q + 5q - 5r] [3p - 3q - 5q + 5r]

=> [3p + 2q - 5r] [3p - 8q + 5r]

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7 0
3 years ago
Find the average rate of change.
alina1380 [7]

The average rate of change = 1.59 ≈ 2

The average rate of change can be calculated by

1) The first one = \frac{3 + 0}{2} = 1.5

2 ) the second can also be solved by ; 8 + 2/ 2 = 5

3 ) the third one will be 20 + 6 / 2 = 13

4) 8.5

5) 12.5

To calculate the average rate of change

we will first add all the distance

Adding all the distance we will get the sum = 3 + 8 + 20 + 10 + 10 = 51

The total time = 2 + 6 + 9 +15 = 32

Thus the average rate of change = 51 / 32 = 1.59

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5 0
1 year ago
What is the square and cube of 12?
Inessa [10]
Hello!!

Square of 12: 12^2 or 12 * 12 = 144

Cube of 12: 12^3 or 12 * 12 * 12 = 1728

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6 0
3 years ago
Anthony eats 2 alices of a large 18 inch pizza. Lucy eats 4 lices of a 12 inch pizza. Both pizzas are cut into 8 slices. Lucy cl
Vlad [161]

Answer: Lucy ate more pizzas because he ate more inches of pizza than Anthony.

Step-by-step explanation:

Anthony eats 2 slices of a large 18 inch pizza. Total number of slice in the 18 inch pizza is 8

The size of one slice in inches would be total length of pizza / number of slices. It becomes

18 / 8 = 2.25 inches

Anthony ate 2 ×2.25 = 4.5 inches of pizza.

Lucy eats 4 slices of a 12 inch pizza.

Total number of slice in the 12inch pizza is 8

The size of one slice in inches would be total length of pizza / number of slices. It becomes

12 / 8 = 1.5 inches

Lucy ate 4 × 1.5 = 6 inches of pizza.

Lucy ate more pizzas because he ate more inches of pizza than Anthony.

5 0
3 years ago
If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he sti
Nadya [2.5K]

Answer:

180

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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