All categories

2 years ago

Find the equation of the line perpendicular to the 13x-3y=9 and passing through (-5,0)

Mathematics

1 answer:

aev [14]2 years ago

8 0

9514 1404 393

Answer:

x +4y = -5

Step-by-step explanation:

The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.

3x +12y = 3(-5) +12(0)

3x +12y = -15

We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:

x + 4y = -5

You might be interested in

we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to

Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

42% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.42$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}$

$\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2$

$n = 1076.8$

Rounding up:

A sample of 1077 is required.

3 0

3 years ago

Data set: 3,6,8,8,14,27 find mean median and range

maks197457 [2]

Answer:

Median is 8

Range is 24

Step-by-step explanation:

Please mark me as the brainliest

6 0

3 years ago

Look at the table below.

GenaCL600 [577]

Answer:04

Step-by-step explanation:

5 0

3 years ago

c) Your parents have been advised to save 5% of their income for your college education, which would include money for housing,

Gennadij [26K]

In one year they would have saved up $2447.40 for your education
convert 5% into a decimal then divide by 100.

Hope this helped :)

3 0

3 years ago

Read 2 more answers

How do you solve this type of problem?

Aleonysh [2.5K]

The price of ticket last year is $ 1231.65

<em><u>Solution:</u></em>

Given that,

This year, Sophia paid $1,071 for season tickets to her favorite baseball team , which is 15% cheaper than last year

To find: Price of season ticket last year

Let the price of season ticket last year be "x"

Therefore, according to question

Price of ticket this year is 15 % cheaper than price of ticket last year

1071 = price of ticket last year - 15 % of 1071

1071 = x - 15 % of 1071

Solve the above expression for "x"

$1071 = x - 15 \% \times 1071\\\\1071 = x - \frac{15}{100} \times 1071\\\\1071 = x - 0.15 \times 1071\\\\1071 = x - 160.65\\\\x = 1071 + 160.65\\\\x = 1231.65$

Thus price of ticket last year is $ 1231.65

8 0

3 years ago