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3 years ago

What is the answer to this ?

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

8 0

Answer: i think its d

Step-by-step explanation:

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Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.

Schach [20]

Answer:

A. $x-2y=-12$

Step-by-step explanation:

We have been given an equation of a line in point-slope form. We are asked to write our given equation in standard form.

$y-3=\frac{1}{2}(x+6)$

Since we know that standard form of equation is: $ax+by=c$ , where, a, b and c are constants.

Let us multiply both sides of our given equation by 2.

$(y-3)*2=2*\frac{1}{2}(x+6)$

$2y-6=x+6$

Let us add 6 to both sides of our equation.

$2y-6+6=x+6+6$

$2y=x+12$

Let us subtract x from both sides of our equation.

$2y-x=x-x+12$

$2y-x=12$

Multiply both sides of our equation by -1.

$-2y+x=-12$

Rearranging our equation we will get,

$x-2y=-12$

Therefore, the standard form of our given equation is $x-2y=-12$ and option A is the correct choice.

4 0

2 years ago

What is the constant of variation,k, of the direct variation,y=kx,through (5,8)

grigory [225]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $\frac{y}{x}=k$ or $y=kx$

where

k is the constant of variation

in this problem we have

the point $(5,8)$

$x=5\\y=8$

substitute

$\frac{y}{x}=k$

$\frac{8}{5}=k$

therefore

<u>the answer is</u>

$k=\frac{8}{5}$

8 0

3 years ago

Read 2 more answers

A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard dev

zimovet [89]

Answer:

$Z = 3.33$

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 13, \sigma = 1.2$

You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.

We have to find Z when X = 17. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{17 - 13}{1.2}$