<u>Answer-</u>
The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

<u>Solution-</u>
Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)
The applying the distance formula,








Two equations are formed because one will be upper from the the given line and other will be below it.
Answer:
x= -1/2 and x=2/11
Step-by-step explanation:
Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x
Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0
Look at it as if there are two equations: 22x^2+11x and -4x-2
Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)
Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)
Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2
Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:
(11x-2)(2x+1)
Solve each equation for x by equaling them both to zero
200 / 8 = 25
scale factor is 1:25 or 0.04
2,500 subtracted by 372 equals 2148. 2148 dollars is how much savings he has left.
Answer:
B. 9 feet
Step-by-step explanation:
area = side^2
side^2 = 84
side = sqrt(84)
side = 9.2 ft
Each side of a wall measures 9.2 ft.