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2 years ago

What value of x satisfies this equation? log2 (6x – 8) – log, 2^8=1 The value of x is?

Mathematics

1 answer:

Maslowich2 years ago

3 0

Answer:

$x=4$

Step-by-step explanation:

$log_2(6x-8)-log_2(8)=1\\\\log_2(\frac{6x-8}{8})=1\\ \\\frac{6x-8}{8}=2\\ \\6x-8=16\\\\6x=24\\\\x=4$

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given sin A =3/-/34 and that angle S is in quadrant 1, find the exact value of tan A in simplest radical form using a ration

Vedmedyk [2.9K]

Answer:

$\tan(A) = \frac{3}{5}$

Step-by-step explanation:

Given

$\sin(A) = \frac{3}{\sqrt {34}}$

$0 \le A \le 90$ --- First Quadrant

Required

Find tan(A)

The sin of an angle is:

$\tan(A) = \frac{Opposite}{Hypotenuse}$

and

$\sin(A) = \frac{3}{\sqrt {34}}$

By comparison:

$Opposite = 3$

$Hypotenuse = \sqrt{34$

So, the Adjacent is:

$Hypotenuse^2 = Adjacent^2 + Opposite^2$

$(\sqrt{34})^2 = Adjacent^2 + 3^2$

$34 = Adjacent^2 + 9$

Collect like terms

$Adjacent^2 =34 - 9$

$Adjacent^2 =25$

Take square roots

$Adjacent =\sqrt{25$

$Adjacent =5$

The tangent of an angle is:

$\tan(A) = \frac{Opposite}{Adjacent}$

This gives:

$\tan(A) = \frac{3}{5}$

8 0

2 years ago

Choose one of the factors of 1331x3 − 8y3.

daser333 [38]

B is the answer hope this helps :)

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2 years ago

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Using the equation x+3, write one equation that has one solution, one equation that has no solution, and one equation that has i

neonofarm [45]

9514 1404 393

Answer:

one: x+3 = 2x
none: x+3 = x
infinite: x+3 = x+3

Step-by-step explanation:

A linear equation with variable terms on opposite sides of the equal sign will have one solution when the coefficients of those variables are different.

x+3 = 2x . . . . has one solution (x=3)

There will be no solution if the variable terms on opposite sides of the equal sign have the same coefficient, but the constants are different. Such an equation can be reduced to 0 = 1, which cannot be made true by any value of the variable.

x +3 = x . . . . has no solutions

There will be an infinite number of solutions if the left side of the equal sign is the same as the right side. Every value of the variable will satisfy the equation.

x +3 = x +3 . . . . has infinite solutions

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2 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)

klemol [59]

Answer:

52 $\pi$