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lord [1]
3 years ago
6

Which shows 60^2 − 40^2 being evaluated using the difference of squares method?

Mathematics
1 answer:
ryzh [129]3 years ago
5 0
The difference of squares method uses the following formula:

a^{2} - b^{2} = (a+b)(a-b)

Answer A has the squares multiplied out, then put into the formula, which is incorrect.

Answer B does not use this formula, as the squares are multiplied out and solved without using this method.

Answer C subtracts in terms of the power, which is completely wrong.

The answer is D.
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Given: F3 = 5 k + 515 g F4 = 945k - 713 g ; find F20
Alisiya [41]

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Answer:

  F20 = 15985k -20361g

Step-by-step explanation:

If we assume F3 and F4 are the third and fourth terms of an arithmetic sequence, the common difference is ...

  d = F4 -F3 = (945k -713g) -(5k +515g)

  d = 940k -1228g

Then the 20th term is ...

  F20 = F3 +(20 -3)d = (5k +515g) +17(940k -1228g)

  F20 = 15985k -20361g

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3 years ago
The angle of elovation from the bottom of a hill to the top is 15. The top of the hill is 200 m above ground level. a)How far to
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Marge drive 290 miles in five hours. Three hours were on the interstate, then the remainder of the trip was on a road that cause
vivado [14]

Marge drove by 66 miles per hour on the interstate

Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

  1. She drove 3 hours on the interstate
  2. The remainder of the trip was on a road that caused her to reduce her speed by 20 mph

We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

Learn more:

You can learn more about speed, time and distance in brainly.com/question/9998060

#LearnwithBrainly

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