They gave you an eqution with variables and then they gave you numbers that all you have to do is put in
k(h-j)+h
5(5-4)+5
5(1)+5
5+5
10
Answer:
y = 10
Step-by-step explanation:
y = 4(3) - 2
y = 12 - 2
y = 10
For this case we have:
If after 2 hours the marathon runner has traveled 22 kilometers we have:
2h -----------> 22km
Applying a rule of three, we can know the time it takes to run 42km. So, we have:
2h -----------> 22km
x -------------> 42km
Where "x" is the time it takes to travel 42km. Resolving we have:
![x = \frac {(42 * 2)} {22}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B%2842%20%2A%202%29%7D%20%7B22%7D)
![x = \frac {84} {22}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B84%7D%20%7B22%7D)
![x = \frac {42} {11}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B42%7D%20%7B11%7D)
![x = 3.82 hours](https://tex.z-dn.net/?f=x%20%3D%203.82%20hours)
Thus, after 3.82 hours the marathon runner will travel 42km.
Answer:
3.82 hours
Answer:
5 units
Step-by-step explanation:
The distance from a point (m, n ) to the line Ax + By + C = 0 is given by
d = ![\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%7CAm%2BBn%2BC%7C%7D%7B%5Csqrt%7BA%5E2%2BB%5E2%7D%20%7D)
For the point (- 1, 3 ) , with m = - 1 and n = 3
3x - 4y = 10 ( subtract 10 from both sides )
3x - 4y - 10 = 0
with A = 3 , B = - 4 , C = - 10
d = ![\frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%7C3%28-1%29%2B%28-4%293-10%7C%7D%7B%5Csqrt%7B3%5E2%2B%28-4%29%5E2%7D%20%7D)
= ![\frac{|-3-12-10|}{9+16}](https://tex.z-dn.net/?f=%5Cfrac%7B%7C-3-12-10%7C%7D%7B9%2B16%7D)
= ![\frac{|-25|}{\sqrt{25} }](https://tex.z-dn.net/?f=%5Cfrac%7B%7C-25%7C%7D%7B%5Csqrt%7B25%7D%20%7D)
= ![\frac{25}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B5%7D)
= 5