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3 years ago

13

How to express this to a single logarithm

1 answer:

Alona [7]3 years ago

6 0

9logbase6zxy

Rules of logs is that when you add logarithms together you’re really multiplying.

Hope this helps!

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How do I simplify this?

Fudgin [204]

This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)

7 0

3 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

Pepsi [2]

Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of $m$ and the second line has a slope of $\frac{1}{-m}$ .

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

$5x - 2y = -6$

$-2y = -5x - 6$

$y = \frac{5}{2}x + 3$

We now know that $m = \frac{5}{2}$ for the first line, which means that the slope of the second line is $m = \frac{-2}{5}$ . With this, we have the following equation for our new line:

$y = \frac{-2}{5}x + C$

where $C$ is the Y-intercept that we now need to determine with the coordinates given in the problem statement, $(5, -4)$ :

$y = \frac{-2}{5}x + C$

$(-4) = \frac{-2}{5}(5) + C$

$-4 = -2 + C$

$C = -2$

Finally, we can create our line:

$y = \frac{-2}{5}x - 2$

$5y = -2x - 10$

$2x + 5y = -10$

8 0

3 years ago

Read 2 more answers

Use the graph to write a linear function that relates Y toX

stich3 [128]

In the graph you can see the point are crossing Y -1 and x= 2,
x-y=xy
2-1=1
Y=1

8 0

2 years ago

Which set of steps will translate f(x)=6x to g(x)=6x-5-7

Maurinko [17]

THIS IS THE COMPLETE QUESTION BELOW;

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.

Shift f(x) = 6x five units to the right and seven units down.

Shift f(x) = 6x seven units to the right and five units up.

Shift f(x) = 6x seven units to the left and five units down.

Answer:

Shift f(x)=6x five units to the left and seven units down.

Step-by-step explanation:

We are told to translate the function below

f(x) = 6x to g(x) = 6x – 5 – 7

Which means the process to translate f(x) into g(x) is required.

According to the translation rule

f(x)-------->f(x)+a

If a<0 it shift to downward

If a>0 it shift to upward

Then we have

(X,y) ----->((x - 5, y)

There is a shift by x coordinates towards left by 5 units

then we would have the function as

f'(x) = 6(x-5)

Following the translation rule there is a shift by the function by 7 units downward direction then we have

(x,y) ----->(x,y -7)

Then we have g(x) = 6x – 5 – 7 as our translation product.

Therefore, shift f(x)=6x five units to the left and seven units down.

7 0

3 years ago

Can I please get the congruence and the reason plz

lara31 [8.8K]

can see the answer its blurry

8 0

3 years ago