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laiz [17]
2 years ago
6

First combine the like terms in 4F + (-21)+10 F

Mathematics
1 answer:
vovikov84 [41]2 years ago
6 0

Answer:

7(2f-3)

No step-by-step explanation.Sorry!

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Write the equation of a line perpendicular to 3x + 4y = 9 that passes through (8, - 4)
Arisa [49]

keeping in mind that perpendicular lines have <u>negative reciprocal</u> slopes, let's find the slope of 3x + 4y = 9, by simply putting it in slope-intercept form.


\bf 3x+4y=9\implies 4y=-3x+9\implies y=-\cfrac{3x+9}{4}\implies y=\stackrel{slope}{-\cfrac{3}{4}}x+\cfrac{9}{4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{4}{3}}\qquad \stackrel{negative~reciprocal}{+\cfrac{4}{3}}\implies \cfrac{4}{3}}


so we're really looking for the equation of a line whose slope is 4/3 and runs through 8, -4.


\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-4})~\hspace{10em} slope =  m\implies \cfrac{4}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{4}{3}(x-8) \implies y+4=\cfrac{4}{3}x-\cfrac{32}{3} \\\\\\ y=\cfrac{4}{3}x-\cfrac{32}{3}-4\implies y=\cfrac{4}{3}x-\cfrac{44}{3}

5 0
3 years ago
g True or False: We will not have omitted variable bias if we leave out a RHS variable that affects the LHS variable, provided t
Rainbow [258]

Based on the information given, it should be noted that we will have an omitted variable bias, therefore, it's true.

<h3>What is an omitted variable?</h3>

An omitted variable simply occurs when a statistical model that occurs when one or more relevant variable is left out.

It should be noted that we will have omitted variable bias if we leave out a RHS variable that affects the LHS variable, even in a situation where there is no correlation between the omitted RHS variable and the included RHS variables.

For omitted variable bias to occur, it should be noted that the omitted variable will be correlated with the included regressor.

Learn more about omitted variable on:

brainly.com/question/10912873

3 0
3 years ago
PLEASE HELP URGENT!!! 30 POINTS TO WHOEVER ANSWERS BOTH QUESTIONS!!
Alex Ar [27]
This isn’t 30 points this is 15
3 0
3 years ago
Solve the problem. six times Tim’s age is 54. His sisters age times three is also 54. How old are Tim an his sister Amy?
Semenov [28]

If t is Tim's age, then 6t=54, so t=9.

If a is Amy's age, then 6a=54, so her age is also a=9.

6 0
3 years ago
The perimeter around the gym is 2718 feet. What is the perimeter in yards? <br> yards
vivado [14]

Answer:

906

Step-by-step explanation:

7 0
3 years ago
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