Answer:
Step-by-step explanation:
Given that: The perimeter of a square is: 32x - 12.8
As we all know that, the formula to find the perimeter of a square is:
Sum of the 4 side = 4* length of the side
=> the length of 1 side: The perimeter of a square / 4
In this situation, we have length of 1 side side is:
(32x - 12.8) / 4
= 32/4x - 12.8/4
= 8x - 3.2
The 1st equivalent expressions for the perimeter: 4 *(8x - 3.2)
The 2nd equivalent expressions for the perimeter: (8x - 3.2) + (8x - 3.2) + (8x - 3.2) + (8x - 3.2)
The 3rd equivalent expressions for the perimeter: 2*(8x - 3.2) + 2*(8x - 3.2)
Answer:
The perimeter of the trapezoid is 
Step-by-step explanation:
we know that
The perimeter of the trapezoid is the sum of its four side lengths
so
In this problem

the formula to calculate the distance between two points is equal to
we have

step 1
Find the distance QR

substitute the values in the formula
step 2
Find the distance RS

substitute the values in the formula
step 3
Find the distance ST

substitute the values in the formula
step 4
Find the distance QT

substitute the values in the formula
step 5
Find the perimeter

Answer:
belongs to the line
. Please see attachment below to know the graph of the line.
Step-by-step explanation:
From Analytical Geometry we know that a line is represented by this formula:

Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that
,
and
, then we clear slope and solve the resulting expression:



Then, we conclude that point
belongs to the line
, whose graph is presented below.
answer is (-7,-9)
step by step:-
S is the midpoint of RT so ,
s=
, 
, 
, 
R= (-7,-9)
Answer:
0.24
Step-by-step explanation:
These events are not mutually exclusive; this means they can happen at the same time.
For two events A and B that are not mutually exclusive,
P(A and B) = P(A) * P(B|A)
Let A be the event "over 21 years old" and B be the event "drinks alcohol".
The probability that a student is over 21 years old is 0.3; this is because 30% of the students are over 21 years old.
The probability that a student drinks alcohol given they are over 21 is 0.8.
This gives us
P(A and B) = 0.3(0.8) = 0.24