Let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:
cross multiply to get:
divide both sides by 45 to get
x=12
The cattle train
speed - 36.5 km/h
time - x h
the passenger train
speed - 29.2 km/h
time - (2.4+x) h
The cattle train caught up to the passenger train so the distance they travelled is the same.
Distance is speed times time.

The passenger train travelled for
12 hours before the cattle train caught up.
Answer:
D: (-1,2)
Step-by-step explanation:
The X coordinate is between 2 and -4. There is a difference of 6, so you should do -4 + (6/2) = -1.
so the X coordinate is -1
The y coordinate is between 0 and 4. There is a difference of 4, so you should do 0 + (4/2) = 2.
so the y coordinate is 2
This results in the centre being (-1,2)
Answer:

Step-by-step explanation:
Given: 
Solution:
A differential equation is said to be separable if it can be written separately as functions of two variables.
Given equation is separable.
We can write this equation as follows:

On integrating both sides, we get

Formulae Used:

So, we get solution as 
Applying condition: x(0) = 1, we get 
Therefore, 
Answer:
the whole town of Calamba together with San Pedro biñan and sta Rosa were originally a part of town <u>Tabuco present-day Cabuyao</u>
Step-by-step explanation:
The cities of Pedro biñan and sta Rosa, as well as Calamba, were all a part of town Tabuco a large expanse of land, also known as Cabuyao. It was after the colonization of the territory by the Spanish colonists that these cities were separated from Tabuco.
The name Cabuyao stems from the Kabuyaw tree, that is <em>Citrus hystrix</em>. When the barangay of Malabanan which includes all the three cities mentioned above became the estate of the religious leaders, they were then separated from Tabuco or Cabuyao.