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mixer [17]
3 years ago
12

Write the radical using rational exponents.. Single choice.Immersive Reader (1 Point) 4−−−√7 m 4 7 −74 m − 7 4 −47 m − 4 7 74 m

7 4 47 m 4 7 1414,
Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

\sqrt[4]{7m} = (7m)^\frac{1}{4}'

Step-by-step explanation:

Given

\sqrt[4]{7m}

Required

Write using rational exponent

\sqrt[4]{7m}

Law of indices states that:

\sqrt[n]{a} = a^\frac{1}{n}

Apply this law on: \sqrt[4]{7m}

We have:

\sqrt[4]{7m} = (7m)^\frac{1}{4}

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How to solve this pythagoras theorem
My name is Ann [436]

Answer:

see explanation

Step-by-step explanation:

The hypotenuse is the longest side thus is (4x + 1)

The legs are 2x and (4x - 1)

Using Pythagoras' theorem, then

(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors

16x² + 8x + 1 = 4x²  + 16x² - 8x + 1 , that is

16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )

- 4x² + 16x = 0 ( multiply through by - 1 )

4x² - 16x = 0 ← factor out 4x from each term

4x(x - 4) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x - 4 = 0 ⇒ x = 4

Now x > 0, thus x = 4

2x = 2(4) = 8

4x - 1 = 4(4) - 1 = 16 - 1 = 15

4x + 1 = 4(4) + 1 = 16 + 1 = 17

Thus

perimeter = 8 + 15 + 17 = 40 cm

3 0
3 years ago
Find the distance traveled at the given speed and time using d=rt and r= 32mph and t= 4.5hr.
Goshia [24]

Hello!

As you can see, our distance is the product of our rate and time. Let's multiply below.

32(4.5)=144

Therefore, you would have traveled 144 miles.

I hope this helps!

3 0
3 years ago
Read 2 more answers
The sum of two numbers is 51. The larger number is 17 more than the smaller number. What are the numbers ?
Serggg [28]

Answer:

The numbers are 17 and 34.

Step-by-step explanation:

I just subtracted 17 from 51, it equals 34, and 34 is 17 more than 17. Add 34 and 17 and you get 51.

4 0
3 years ago
A buoy moves up and down with the waves in simple harmonic motion. This buoy moves a total of 12 feet from its minimum position
Lana71 [14]
That was rude of him
3 0
3 years ago
Factor 125x3 + 343y3
Annette [7]

Answer:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b² )

125x³ = (5x)³ ⇒ a = 5x

343y³ = (7y)³ ⇒ b = 7y

125x³ + 343y³

= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)

= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form

5 0
3 years ago
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