Fill in the blanks below to complete the ratio table.<br><br>15 _ 10<br>18 6

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?

Lady_Fox [76]

Answer:

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\y=mx+b\\m-slope\\b-y\ intercept$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

$\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\=========================$

$\text{From the graph we have two points (-3, 2) and (0, 1).}\\\text{Calculate the slope of the given line:}\\\\m=\dfrac{1-2}{0-(-3)}=\dfrac{-1}{3}=-\dfrac{1}{3}.\\\\\text{Therefore the slope of the perpendicular line is:}\\\\m=-\dfrac{1}{-\frac{1}{3}}=3\\\\\text{Put it and the coordinates of the point (3, 4) to the equation of a line:}\\\\4=3(3)+b\\4=9+b\qquad\text{subtract 9 from both sides}\\-5=b\to b=-5\\\\\text{Finally:}\\\\y=3x-5$

5 0

3 years ago

How to workout and the answer for -27x^3(-x^7) ÷16x^4

Helen [10]

Answer:27x^6 /16

Step-by-step explanation:27x^3 x x^7 divided by 16x^4

then simplify the expression which will be 27x^3 x x^3 divided by 16

then calculate the product which is x^3 x x^3 which is x^6 so your answer is 27x^6/16.

4 0

2 years ago

A company took a survey about its new project. I did the hundred people surveyed, 44 liked the new product. What percentage of t

Aleks [24]

Answer:

The percentage people surveyed like to the new product is 44%.

Step-by-step explanation:

Given:

Company took a survey about its new project, hundred people surveyed, 44 liked the new product.

Now, to find the percentage of the people surveyed like to the new product:

People like new product / Total people surveyed × 100

$\frac{44}{100}\times 100$

$=0.44\times 100$

$=44$

So, it is 44%

Therefore, the percentage people surveyed like to the new product is 44%.

3 0

3 years ago

If the perimeter of the rectangle is 6x+c what is the value of c

nikdorinn [45]

C is 2*length I hope

5 0

3 years ago

A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

mart [117]

Solution

Question 1:

- The formula for finding the mean score is that of the expected value formula. That is,

$\begin{gathered} E(x)=\sum_{i=1}p_i\times x_i \\ where, \\ p=\text{ The probability of getting a score of }x\text{ } \\ x=\text{ The actual score} \end{gathered}$

- Thus, the mean can be gotten as follows:

$\begin{gathered} \sum px=5\left(0.06\right)+6\left(0.16\right)+7\left(0.34\right)+8\left(0.23\right)+9\left(0.15\right)+10(0.06) \\ =7.43 \end{gathered}$

The mean score is 7.43

Question 2:

- The more students write the exam, the more the mean score will approach the theoretical mean score.

- The theoretical mean score is calculated above to be 7.43

- Thus, as more students write the quiz, their scores approach 7.43

7 0

10 months ago

Fill in the blanks below to complete the ratio table.15 _ 1018 6 _​

Fill in the blanks below to complete the ratio table.15 _ 1018 6 _