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3 years ago

What is the answer to 6^(x-3/4)=square root of 6

Mathematics

1 answer:

dangina [55]3 years ago

6 0

6^(x - 3/4) = 6^(1/2)

since 6 is the base on each side:-

x- 3/4 = 1/2

x = 1/2 + 3/4

x = 5/4 (or 1 1/4)

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3 years ago

Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.

AVprozaik [17]

Answer:

$\sqrt{37}$ units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.

We know the formula of length of perpendicular from a point $(x_{1}, y_{1} )$ to the straight line ax + by + c = 0 is given by

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6 0

4 years ago

To hang lights up on his house.Garrett place is a 14 foot ladder 4 feet from the base of the house. How high up the house will t

Firlakuza [10]

This seems like a right triangle problem.

So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem ( $a^{2} +b^{2} =c^{2}$ ) to solve for the height of the house, in which we shall name it x.

So, the equation is $4^{2} +x^{2} =14^{2}$ .

Solve for x:

16+x^{2}= 196

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x = 6√5 feet

Hope this helps!

5 0

3 years ago

Read 2 more answers

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denis-greek [22]

Answer:

(-1,-3)

Step-by-step explanation:

Multiply both x and y values by 1/3 or divide both by 3.

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3 years ago

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leonid [27]

I don't know the answer but try using PEMDAS. (Parentheses, Exponents, Multiplication, Division, Addition, and then Subtraction)

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3 years ago