![\qquad\qquad\huge\underline{{\sf Answer}}](https://tex.z-dn.net/?f=%5Cqquad%5Cqquad%5Chuge%5Cunderline%7B%7B%5Csf%20Answer%7D%7D)
Here we go ~
Slope of the graph can be expressed as :
![\qquad \sf \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Aslope%20%3D%20%20%20%5Ctan%28%20%5Ctheta%29%20%20%3D%20%20%5Cdfrac%7B4%7D%7B5%7D)
![\qquad \sf \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%20%5Cdfrac%7Bx%7D%7B30%7D%20%20%3D%20%20%5Cdfrac%7B4%7D%7B5%7D%20)
![\qquad \sf \dashrightarrow \: x = \dfrac{4}{5} \times 30](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20x%20%3D%20%20%5Cdfrac%7B4%7D%7B5%7D%20%20%5Ctimes%2030)
![\qquad \sf \dashrightarrow \: x = {4}{} \times 6](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20x%20%3D%20%20%7B4%7D%7B%7D%20%20%5Ctimes%206)
![\qquad \sf \dashrightarrow \: x = 24 \: units](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20x%20%3D%2024%20%5C%3A%20units)
So, the value of x is 24 units
Answer:
C
Step-by-step explanation:
ley y = f(x) and rearrange making x the subject
y =
- 1 ( add 1 to both sides )
y + 1 =
( multiply both sides by (x + 5)
(y + 1)(x + 5) = 1 ← expand factors using FOIL
xy + 5y + x + 5 = 1 , that is
xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )
x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side
(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )
x + 5 =
( subtract 5 from both sides )
x =
- 5
Change y back into terms of x with x =
(x) , then
(x) =
- 5 where x ≠ - 1
For the first one it is, j<<span>−<span>13
Second one, </span></span>n<<span>−<span>8
</span></span>Third one, k><span>−<span>50</span></span><span>
</span>
Is this a trick question, i assume you just add all the number getting 2.4 miles or he is 0 miles away from his house when he completes his jog