Answer:
Step-by-step explanation:
1. y - 4 = 1/2(x - 2)
y - 4 = 1/2x - 1
y = 1/2x + 3
2. y + 1 = -3/4(x + 8)
y + 1 = -3/4x - 6
y = -3/4x - 7
Answer:
Step-by-step explanation:
By definition, the sum of the interior angles of a triangle is 180 degrees.
You can observe that the given triangle has an angle that measures 90 degrees and it also has two equal sides.This means that the other two angles are equal.
Knowing this, you can conclude that the triangle is an Isosceles Right Triangle and the other angles measure 45 degrees each.
Therefore, now you know that:
Solving for "x", you get that its value is:
And for the other angle:
Solving for "y", you get that its value is the following:
Answer:
3.704 Hours
Step-by-step explanation:
This problem can be solved by using concept of relative speed. relative speed is speed of one body in comparison of other.
If two bodies are moving in same direction their relative speed is calculated by taking difference of each other speed.
If two bodies are moving in opposite direction their relative speed is calculated by taking sum of each other speed.
In the problem stated two bodies are moving in north and south direction, hence they are moving in opposite direction, thus their speed can be taken sum of individual speed.
which is
(60+65) Km/Hr = 135 km/hour
Now given in question distance between two bodies is 500 KM
and relative speed = 135 km/hour
using formula of speed distance and time
Time = distance / speed = 500/135 = 3.704 Hours
Therefore it will take 3.704 Hours for both of the trains to be 500 km apart.
Answer: Rico is right.
(-1)(3x + 5)²
Step-by-step explanation: If it were the difference of two squares, the -30x would not be there.
It makes sense to factor out (-1) fry the trinomial, leaving all positive terms.
Then factor 9x² + 30x + 25 as
(3x + 5)²
7^1 (-1x-1=1)
5^3 (2+4-3=3)