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3 years ago

Which is the simplified form of the expression

Mathematics

1 answer:

erica [24]3 years ago

3 0

Answer:

4 / x¹⁴y⁸

Step-by-step explanation:

eliminate parenthese by multiplying all exponents inside parentheses by the exponent outside the parentheses:

1/2⁶ ÷ 1/4⁴ = 1/64 ÷ 1/256 which equals 256/64 or 4

x⁻⁶y⁴ ÷ x⁸y¹² = x⁻¹⁴y⁻⁸ = 1/x¹⁴ · 1/y⁸

put it all together to get:

4÷(x¹⁴y⁸)

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Convert the following to standard form y=2/5 x - 1/3

Afina-wow [57]

Given :-

y = 2/5x - 1/3

To Find :-

To convert the given equation into standard form.

Solution :-

As we know that the standard form of the line is ,

$\sf\longrightarrow$ ax + by + c = 0

So the given equation is ,

$\sf\longrightarrow$ y = 2/5x -1/3

$\sf\longrightarrow$ y = 6x - 5/15

$\sf\longrightarrow$ 15y = 6x - 5

$\sf\longrightarrow$ 6x -15y -5 = 0

Hence the required equation of the line is 6x -15y-5=0.

8 0

3 years ago

Picture is attached. help

Svetradugi [14.3K]

True. Polynomial means consisting of several terms. An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variables.
For example:
f(x) = x3 + 2x 1/2

Since there are two parts to this equation, it is polynomial.
I hope I helped.

8 0

3 years ago

Find the total surface area in square inches, of the following 3-

Ivenika [448]

Answer:

81 in²

Step-by-step explanation:

The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.

The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.

Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length

Where,

Base area = s² = 5² = 25 in²

Perimeter of base = 4(s) = 4(5) = 20 in

Slant height = 5.6 in

Surface area = 25 + ½(20) × 5.6

= 25 + 10 × 5.6

= 25 + 56

Surface area = 81 in²

6 0

3 years ago

An airplane travels 6903 kilometers against the wind in 9 hours and 8613 kilometers with the wind in the same amount of time. Wh

Rzqust [24]

Answer:

The rate of the plane is 862 miles per hour

Step-by-step explanation:

An airplane travels 6903 kilometers against the wind in 9 hours.

Speed = distance / time

Speed of the airplane while travelling against the wind is

6903/9 = 767 miles per hour

The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be

8613/9 = 957 miles per hour

Let x = speed of the airplane

Let y = speed of the wind

While travelling against the wind,

x - y = 767 - - - - - -- 1

While travelling with the wind,

x + y = 957 - - - - - - -2

Subtracting equation 2 from equation 1,

-y - y = 767 - 957

-2y = -190

y = -190/-2

y = 95 miles per hour

x = 957 - y

x = 957 - 95

x = 862 miles per hour

4 0

4 years ago

The diameter of a small gear is 16 cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameter of th

Lemur [1.5K]

16 rounded to the nearest number is 20 im not sure if i helped you though

5 0

4 years ago