Distance between points

and

is

Distance from H to B:
![[tex]d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}](https://tex.z-dn.net/?f=%5Btex%5Dd%3D%5Csqrt%7B%2810-%28-3%29%29%5E2%2B%281-%28-9%29%29%5E2%7D%3D%5Csqrt%7B169%2B100%7D%3D%5Csqrt%7B269%7D)
d=\sqrt{(1-(-3))^2+(10-(-9))^2}=\sqrt{16+361}=\sqrt{376}[/tex] units.
Distance from Z to B:

units.
Horse Z is closer to the barn.
(The conversion to meters is not required; the question does not ask for actual distances, so "units" is OK.)
Answer:
Kelly will still have more money than Luis
Kelly will have 25% more
Step-by-step explanation:
Let x represent the amount of money Kelly has and y, Luis
Luis has $40
and Kelly has 50% more money than Luis
Therefore, Kelly has;
50% of $40 + $40
= 0.5*40 + 40
= $60
If Luis gets $8 more, Luis will have;
$8 + $40 = $48
since Luis' $48 is less than Kelly's $60, Kelly will still have more money than Luis
Difference in their money = $60 - $48 = $12
Therefore, Kelly will have;
12/48 * 100 more than Luis
= 25% more
In order to solve a negative exponent, you have to consider the multiplicative inverse of the base:

So, if we solve the negative exponent on the left hand side, we have

which is the right hand side.
Answer:
11.82 kilometers in Luis's journey in total
Step-by-step explanation:
As per the statement:
To visit his grandmother
Distance Luis takes a train 6.37 kilometers
Distance Luis takes a car 5.45 kilometers.
We have to find the total distance.

Substitute the given values we have;
km
Therefore, 11.82 kilometers in Luis's journey in total
Step-by-step explanation:
Below is an attachment containing the solution.