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Alenkasestr [34]
3 years ago
6

What is a simpler form of the following expressions?

Mathematics
1 answer:
nadezda [96]3 years ago
6 0

Answer:

D. 49p² - 64

Step-by-step explanation:

(7p - 8)(7p + 8)

Solving this requires the 'difference of squares' concept which states;

If (a - b)(a + b)

Then the solution must be a² - b²

Considering (7p - 8)(7p + 8) then the answer is;

(7p)² - 8² = 49p² - 64

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A scuba diver descends in the water at a rate of 23 1/2
Makovka662 [10]

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1 ft.

Given:

A scuba diver descends in the water at a rate of 23 1/2  feet per minute for 2.6 minutes.

A scuba diver ascends at a rate of 28 feet per minute for 2 minutes after seeing a big fish.

To find :

The scuba diver's position relative to sea level after the 4.6 minutes.

Solution:

Rate of a scuba diver descending in the water for 2.6 minutes = R _1

R_1= 23\frac{1}{2}ft/min=\frac{47}{2} ft/min

Distance covered by a scuba diver in 2.6 minutes = d_1

d_1=R_1\times 2.6min=\frac{47}{2} ft/min\times 2.6 min=61.1 ft

Rate of a scuba diver ascending for 2 minutes = R _2

R_2= 28ft/min

Distance covered by a scuba diver in 2 minutes = d_2

d_2=R_2\times 2min=28 ft/min\times 2 =56 ft

The position of scuba diver after 4.6 minutes relative to sea level:

d_1-d_2=61.1 ft-56 ft=5.1ft

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1ft.

Learn more about ascending rate and descending rate here:

brainly.com/question/1477877?referrer=searchResults

brainly.com/question/1072871?referrer=searchResults

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3 years ago
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2,870,000

Hope this helps:)
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Step-by-step explanation:

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Answer: D) 13y^25 and 2y^25

Like terms involve the same variables, and each of those variables must have the same exponents.

Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.

5 0
3 years ago
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