M=<u>(y2-y1)</u>
(x2-x1) m= rise over run. That is the correct formula to find your slope.
Answer:
Step-by-step explanation:
Let the speed of the car is x, then the speed of motorcycle is x + 20
The distance = 120 km
<u>Time:</u>
- 120/x = 120/(x + 20) + 1
- 120(x + 20) = 120x + x(x +20)
- 120x + 2400 = 120x + x² + 20x
- x² + 20x = 2400
- x² + 2*10x + 10² = 2500
- (x + 10)² = 50²
- x + 10 = 50
- x = 40
Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
<h2>
Answer:</h2>
n = 1
<h2>
Explanation:</h2>
Here we have the following Geometric Sequence:

Where:

The first term occurs when
. Next the second term occurs when
, the third term when
and so on. Therefore, the appropriate value of n that lies on the domain for n is
Solving for x.
Add by to both sides
Ax=c+by
Divide both sides by a
x=c+by
-------
a
Answer: x=7 and AC = 44 unuts.
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other. (i)
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)

Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 unuts.