Length of the rectangular patio = 12 1/2 feet
= 25/2 feet
Area of the rectangular patio = 103 1/8 square feet
= 825/8 square feet
Let us assume the width of the rectangular patio = x feet
Then
Area of the rectangular patio = Length * Width
825/8 = (25/2) * x
25x/2 = 825/8
25x = (825 * 2)/8 feet
25x = 825/4 feet
x = 825/(4 * 25) feet
= 33/4 feet
= 8 1/4 feet
So the width of the rectangular patio is 8 1/4 feet. I hope the procedure is clear enough for you to understand.
Answer:
1st one: -24a-6b-36c
2nd one: 14mn-12m
Step-by-step explanation:
1st one: Multiply '-6' w/ '4a', 'b', and '6c'
2nd one: Multiply '2m' w/ '7n' and '-6'
Answer:
The equation of the line in point-slope form is
.
Step-by-step explanation:
According to the statement, let
and
. The equation of the line in point-slope form is defined by the following formula:
(1)
Where:
,
- Coordinates of the point A, dimensionless.
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
(2)
If we know that
and
, then the equation of the line in point-slope form is:



From (2):


By (1):

The equation of the line in point-slope form is
.
Answer:
The answer is below
Step-by-step explanation:
When you refer to a normal vector you mean the form a*x + b*y + c*z = d, if that's the case then it's not unique in the nose because it gives you its normal vector. Taking into account that uniqueness only supports multiplicative constants, which means that you can multiply the equation with whatever you want, that is, it remains the same
20%, because if 65 is 100, then 52 is 80% out of 65; so 100 - 80 is 20