Convert the following in standard form : -4x=4y-52

1 answer:

8 0

The standard form of any linear equation with two variables is $ax+by=c$ , where a, b, and c are constants. To convert this equation to standard form, simply subtract $4y$ from both sides to get

$-4x-4y=-52$

We could leave it in this form, though, in this case, it might be better at if we multiplied both sides by -1 to get

$4x+4y=52$

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Which expression is equivalent to log Subscript c Baseline StartFraction x squared minus 1 Over 5 x EndFraction?

Harrizon [31]

The equivalent expression of $\log_c(\frac{x^2 - 1}{5x})$ is $\log_c(x^2 - 1) - \log_c(5x)$

<h3>How to determine the equivalent expression?</h3>

The logarithmic expression is given as:

$\log_c(\frac{x^2 - 1}{5x})$

The law of logarithm states that:

log(a) - log(b) = log(a/b)

This means that the expression can be split as:

$\log_c(\frac{x^2 - 1}{5x}) = \log_c(x^2 - 1) - \log_c(5x)$

Hence, the equivalent expression of $\log_c(\frac{x^2 - 1}{5x})$ is $\log_c(x^2 - 1) - \log_c(5x)$

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1 year ago

Can someone please please help me on this algebra problem I’m stuck on answering the question?

Rudik [331]

Explanation:

Midline: it is a horizontal line where half of the function above it and half of the function is below it.

Amplitude: It means how far the function varies from the midline to the above and below.

Period: the distance between two consecutive maximum points (minimum points).

3) From the graph,

$\begin{gathered} \text{Midline}=\frac{Maximum\text{ point+ minimum point}}{2} \\ =\frac{3+(-1)}{2} \\ =\frac{3-1}{2} \\ =\frac{2}{2} \\ =1 \end{gathered}$

Answer: Midline=1

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$\text{Amplitude =}2$

2) Periods

$\begin{gathered} \text{Period}=6 \\ \Rightarrow b=\frac{2\pi}{6} \end{gathered}$

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$\begin{gathered} y=a\cos (b(x-c))+d \\ a=\text{ amplitude} \\ b=\text{period} \\ c=\text{ phase shift} \\ d=\text{ vertical shift} \\ y=2\cos (\frac{2\pi}{6}x)+1 \end{gathered}$

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