Answer:
Step-by-step explanation:
First choose two points on the line,
Let the points are A and B.
From point A to B we are moving downwards by (5 - 1 = 4 units)
Therefore, Rise = -4
Horizontal distance between A and B = 2 units
Therefore, Run = 2
Since, slope of a line = 
Slope = 
= -2
Answer:
5x-6
Step-by-step explanation:
f(x) = 2x + 3
g(x) = 3x - 9
f(x) + g(x) = 2x + 3 + 3x-9
= 5x-6
Volume of a rectangular prism = l × w × h.
In this case,
V = 270 cubic feet
l = 15 feet
w = 4 ft
h = ?
Plug our values into the volume formula.
270 cubic feet = 15 feet × 4 feet × h.
Simplify the right side
270 = 60 × h.
Divide each side by 60.
4.5 = h
The height is 4.5 feet.
Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:

Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by

where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

now substituting r = 2 and a₁ = 7 in the nth term


Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
