From his house, Manuel could drive due north to get to his parents' house or he could drive due east to get to his grandparents'
1 answer:
Answer:
The distance is 8 miles.
Step-by-step explanation:
Manuel's house, his parents house, and grandparents house can be expressed as the three vertices of a right angled triangle. Thus, Pythagoras theorem can be applied to determine the distance from Manual's house to that of his grandparents.
Let the distance from Manuel's house to that of his grandparents be represented by x, so that;
=
+
=
+
100 = + 36
= 100 - 36
= 64
⇒ x =
= 8
x = 8 miles
Thus, Manuel's house is 8 miles from his grandparents house.
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All functions have an inverse expression.
- The cost function is:
.
- The inverse function is:
From the question, we have the following observations:
- Base fare = 50000 pesos for first 100
- Additional guest = 100 pesos
So, the cost function would be:
Where: x represents the number of guests, and C(x) represents the cost function
Expand
Evaluate like terms
To calculate the inverse function, we have:
Replace C(x) with y
Swap x and y
Subtract 40000 from both sides
Divide both sides by 100
Rewrite as:
Split
Hence, the inverse function is:
Read more about functions and inverse at:
Check the picture below
use the far-arc near-arc equation
bear in mind, your far-arc and near-arc are both in y-terms, so, the angle will be in y-terms as well
use the far-arc near-arc equation
bear in mind, your far-arc and near-arc are both in y-terms, so, the angle will be in y-terms as well