Answer:
Step-by-step explanation:
We want to find the coordinates of a certain point C(x,y) such that C divides 
and 
in the ratio m:n=3:2
The x-coordinate is given by:
The y-coordinate is given by:
AB has coordinates A(-5,9) and B(7,- 7)
We substitute the values to get:
and
Therefore C has coordinates 
The line segment that contains C is
See attachment.
1. Annual percent increase in rent is basically just a percentage of the rent increased each year.
2. Heater: Use fire places, or lower the amount of air conditioning usage so it's not so cold.
Electricity: Turn off ceiling fans and lights when not used, or only allow the essential things to use electricity.
Water: Not leave faucets or showers running, or no bathtubs which prevents baths.
3. The couple could save $450 in one year because 3000 divided by 0.15 which is the 15%, equals to the total amount saved at $450.
4. Groceries/everyday essentials, Gas money, taxes, pay off loans.
To solve this problem, we need to use the Pythagorean Theorem, which states that a^2 + b^2 must equal c^2. "a" is the length of one of the legs (shorter sides of the triangle) and "b" is the length of the other leg. "c" is the length of the hypotenuse.
a = y = 36.25cm
b = x = 20.93cm
a^2 + b^2 = c^2
(36.25)^2 + (20.93)^2 = c^2
1314.0625 + 438.0649 = c^2
√1752.1274 = √c^2
c = 41.8584209 ≈ 41.86
So your final answer is...
The length of the hypotenuse is about 41.86 cm.
Answer:
It is because you have to get rid of the power of 2 from c. In order to get rid, you have to square root it on both sides :
c² = 74
√(c²) = √74
c^(1/2×2) = √74
c = √74
Using Indices formula, (a^m)^n = a^(mn)
