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3 years ago

Factorise the following expressions.7p^2 + 49pq

Mathematics

2 answers:

professor190 [17]3 years ago

7 0

Answer:

7p^2 + 49pq

7p×p+7×7×p×q

taking common

7p(p+7q)

is your answer

Fiesta28 [93]3 years ago

5 0

Answer:

7p(p+7q)

Step-by-step explanation:

1) 7p2+49pq

7p2+49pq

= 7p(p+7q)

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3 years ago

A carpenter wants to put four shelves on a 8-foot wall(=b) so that the five spaces created decrease by 7 inches(=a) as we move u

nadezda [96]

Height of wall = 8 feet

1 feet = 12 inches

⇒ Height of wall = 8 × 12 inches

⇒ Height of wall = 96 inches

We know that the 4 shelves are to be placed such that that the 5 spaces created decrease by 7 inches as we move up the wall

Let height of 1st space = h inches

⇒ Height of 2nd space = h - 7 inches

⇒ Height of 3rd space = h - 14 inches

⇒ Height of 4th space = h - 21 inches

⇒ Height of 5th space = h - 28 inches

Thickness of each shelf = 3/4 inch

⇒ Thickness of 4 shelves = $\frac{3}{4}$ × 4 inches = 3 inches

So, Height of Wall = Height of 1st space + Height of 2nd space + Height of 3rd space + Height of 4th space + Height of 5th space + Thickness of 4 shelves

⇒ 96 = h + h - 7 + h - 14 + h -21 + h - 28 + 3

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4 years ago

Flip the coin below. Suppose that you win a prize if it comes up heads. What is p, the probability of success? What is 1 – p, th

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Answer:

"p," the probability of success, is the chance of winning a prize. This is equal to 50% (1/2).

1 - p, the probability of failure, is the chance of not winning or losing a prize. This is equal to 50$ (1 - 0.5).

Step-by-step explanation:

When an outcome is obtained from two events, the probability of the outcome happening is 50% (1/2).

On the other hand, the probability of the intended outcome not happening is the difference between 1 and the probability of obtaining the outcome from the two events. This is statistically expressed as 1 - p.

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4 years ago

Factorise the following expressions.7p^2 + 49pq​

Factorise the following expressions.7p^2 + 49pq