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Svet_ta [14]
1 year ago
5

Show that: (p¼- q¼)(p¼ + q¼)(√P+√q)= p-q.​

Mathematics
2 answers:
Naily [24]1 year ago
4 0

Answer:

See below ~

Step-by-step explanation:

Identity used :

  • (a - b)(a + b) = a² - b²

Simplifying the LHS :

  • (p¼ - q¼)(p¼ + q¼)(√p + √q)
  • (√p - √q)(√p + √q)
  • p - q
  • Equal to the RHS

∴ Hence, it is proved √

Irina18 [472]1 year ago
3 0

Answer:

Step-by-step explanation:

let p¼ = a, q¼ = b

L.H.S. = (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²) = (a²)² - (b²)² = p - q = R.H.S.

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Jayden used a Groupon at the local pizza shop. Instead of paying $15, for the pizza, he paid $12.
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Answer:

She is correct because they need to find how much is the discounted price, which is 3. So to see what percentage it is, they need to see how much 3 is worth in comparison to 15. If we spilt 15 into 5 parts to make every part worth 20%, the answer would be 3. Thus Arianna is correct.

Step-by-step explanation:

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3 years ago
The ratio of the number of boys to the number of girls in a certain school club is 3 to 4. If there are 5 more girls than boys i
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Answer:

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Step-by-step explanation:

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3 0
2 years ago
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7 0
3 years ago
Justin Verlander of the Astros threw a pitch 100 miles per hour. How many seconds did it take to get to home plate. The plate is
castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

brainly.com/question/24530464

brainly.com/question/17743460

5 0
2 years ago
8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that cont
Svetllana [295]

Answer:

12

Step-by-step explanation:

There are 2 yellow out of 10.

2/10 = 1/5

1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

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Answer: 12

7 0
3 years ago
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