Answer:
A) 5x - 2y = 12
B) 3x + 2y = 36 Adding both equations eliminates "y"
8x = 48
x = 6 Putting x=6 into equation B we get
3*6 + 2y = 36
2y = 18
y = 9
Step-by-step explanation:
Answer:
Gender is a categorical variable. The sum gives the total number of students in class.
Step-by-step explanation:
We are given the following in the question:
The variable Male, is categorical, even though its values are numbers.
Categorical variable:
- These variable are the non parametric variable.
- They do not need values to express the data.
- They only use number and numerical to express the data or represent the data.
- There is no relation with true value of numerical.
Thus, gender is a categorical variable. Numbers are only used to represent the data.
Numbers are just a representation.
The sum of these represent the total male and female students in class. Thus, the sum gives the total number of students in class.
The midpoint of the points ( 4, 5.5 ) and ( 4, 10.5 ) is the center of the circle:
C =

C = ( 4, 8 ), h=4, k=8
r =

r = 2.5
The equation of the circle in standard form:
( x - h )² + ( y - k )² = r²
( x - 4 )² + ( y - 8 ) = 6.25
Answer:
10feet
Step-by-step explanation:
We solve this question, using Pythagoras Theorem to solve for the other side.
Pythagoras Theorem states that
c² = a² + b²
c = √(a² + b²)
In the question, a = 6 feet
b = 8 feet
c = length of the rope
c = √6² + 8²
c = √36 + 64
c = √100
c = 10 feet
The length of the rope is 10 feet