Answer:

Step-by-step explanation:
Given
y = 3x + 1
Required
Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1
First, the slope of the line has to be calculated;
Th slope of a line is the coefficient of x in its linear equation;
This implies that the slope of y = 3x + 1 is 3
Having calculated the slope of the first line;
The relationship between both lines are perpendicularity; this implies that 
Where m_1 = 3 and m_2 is the slope of the secodnd line
becomes

Divide both sides by 3


The equation of the line can be calculated using the folloing formula

Where
and 
The equation becomes


Cross multiply


Collect like terms



2,150 estimated would be 2,000. Since she flies there and back multiply 2,000 by 2. Since she flies it twice multiply 4,000 by 2. Estimated: 8,000 miles. To find the exact miles Do the same thing but with 2,150: 2,150 times 2 = 4,300. 4,300 times 2 = 8,600. She flies exactly 8,600 miles per year :)
Answer:
7 : 15 : 9
Step-by-step explanation:
The GCF is 8:
56/8 = 7
120/8 = 15
72/8 = 9
Answer:
14/20.
Step.-by-step explanation:
There are 20 socks in the drawer.
The number which are not brown = 9 + 5 = 14.
So the required probability = 14/20.
You just combine like terms
So 4d + - d = 3d
And 3x + 2x = 5x
So the answer is 3d + 5x