Answer:
![y = \frac{1}{3}x - 9](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20-%209)
Step-by-step explanation:
Standard equation of a line is y = mx + b, where m is the slope.
Given line y = - 3x + 78, slope, m₁ = -3
<em><u>To find the line perpendicular to the given line.</u></em>
The lines are perpendicular to each other if the product of their slopes = - 1
That is,
![m_1 \times m_2 = -1](https://tex.z-dn.net/?f=m_1%20%5Ctimes%20m_2%20%3D%20-1)
So the slope of new line is
![-3 \times m_2 = -1\\\\m_2 = \frac{-1}{-3} = \frac{1}{3}](https://tex.z-dn.net/?f=-3%20%5Ctimes%20m_2%20%3D%20-1%5C%5C%5C%5Cm_2%20%3D%20%5Cfrac%7B-1%7D%7B-3%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
![Therefore , equation \ of \ new \ line \ \\\\(y - y_1) = m_2(x - x_1) , where \ (x_1 , y_1) = (9, -6 )\\\\(y - (-6))= \frac{1}{3}(x -9)\\\\y + 6 = \frac{1}{3} x - 3\\\\y = \frac{1}{3}x -3-6\\\\y = \frac{1}{3}x -9\\\\](https://tex.z-dn.net/?f=Therefore%20%2C%20equation%20%5C%20of%20%5C%20new%20%5C%20line%20%5C%20%5C%5C%5C%5C%28y%20-%20y_1%29%20%3D%20m_2%28x%20-%20x_1%29%20%2C%20where%20%5C%20%28x_1%20%2C%20y_1%29%20%3D%20%289%2C%20-6%20%29%5C%5C%5C%5C%28y%20-%20%28-6%29%29%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%20-9%29%5C%5C%5C%5Cy%20%2B%206%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20x%20-%203%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20-3-6%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20-9%5C%5C%5C%5C)
Answer:
Step-by-step explanation:
48% of n = 0.48n = 40.32
n = 84
20% of n = 0.20*84 = 16.8
Answer:for number one its q and r and then its w,x,y for the second one
Step-by-step explanation:
hope its helps
inferential statistics allows for someone to draw conclusions about a population from the information collected in a population sample.
the qestion is incomplete .please read below to find the missing content
Which of the following allows for someone to draw conclusions about a population from the information collected in a population sample?
a. magnitude statistics
b. central tendency
c. inferential statistics
d. effect size
The population is the number of people living together in a place. The population of a city is the number of people living in that city. These people are called residents or residents. The population includes all individuals living in that particular area.
Population refers to the total number of organisms living in a particular area. Population helps us estimate the number of beings and know how to act accordingly. For example, knowing the exact population of a city allows us to estimate the number of resources required. Similarly, animals can do the same.
Learn more about the population here
brainly.com/question/25896797
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Answer:
100 cm
Step-by-step explanation:
Given:
AC = BC
AC = 40
2AB=AC
Simplify:
BC = 40
Simplify:
2AB = 40
Algebra:
AB = 20
Here's the sides:
AB = 20
AC = 40
BC = 40
Add all of them together:
100