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3 years ago

If 27^x=9/3^x ,then the value of x is

Mathematics

1 answer:

Korolek [52]3 years ago

5 0

Answer:

x = 0.5

Step-by-step explanation:

Well, we have in this case a exponent equation

$27^{x} = \frac{9}{3^{x}}$

Factoring 27 = $3^{3}$

Our new equation is:

$3^{3x}=\frac{3^{2}}{3^{x}}$

Applying the property of exponents, on the right we'll have just like that:

$3^{3x} = 3^{2-x}$

now, it's easy to solve this equation. You must solve 3x = 2 - x because the basis of these exponents are equal.

3x = 2 - x

3x + x = 2

4x = 2

x = 1/2 or 0.5

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The volume of the mold is 186 cubic feet concrete is sold by cubic yard how many cubic yards of concrete will I need to fill mol

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Answer:

Volume of the mold is $6.93\ \text{yards}^3$ .

Step-by-step explanation:

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3 years ago

(2x-3)^2=81

tia_tia [17]

Answer:

putting roots on both sides,

 $\sqrt{(2x - 3)} {}^{2} = \sqrt{81}$ 

or, 2x-3 =9

or, 2x= 9+3

 or, 2x = 12

Or, x = 12÷2

:. x=6

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3 years ago

225 ft2

mrs_skeptik [129]

Answer:

12 ft

Step-by-step explanation:

we know the areas of the 2 top squares.

the area of a square is simply the square of its side length.

81 ft² means side length is 9 ft.

225 ft² means side length is 15 ft.

these are also 2 of the sides of the right triangle.

the third side we get by using Pythagoras :

c² = a² + b²

with c being the side opposite of the 90 degree angle.

so,

225 = 81 + x²

as x is also the third side of the triangle.

=> 144 = x²

x = 12 ft

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3 years ago

Given the graph of a circle and a line, how many solutions to the system of equations exist?

Oxana [17]

Answer:

First Option

Step-by-step explanation:

The number of solutions is given by the values in which the equation of the circumference is equal to the equation of the line.

In other passwords the number of solutions is equal to the number of times the line intersects or touches the circumference.

Notice in the graph that the line does not touch the circumference.

Therefore for this case there are no solution

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