Answer:
The points for the given to linear equations is (5 , - 2) and (5 , - 1)
The points is plotted on the graph shown .
Step-by-step explanation:
Given as :
The two linear equation are
y = 
x - 1 ...........1
y = 
x - 6 ...........2
Now, Solving both the linear equations
Put the value of y from eq 2 into eq 1
I.e x - 6 = x - 1
Or, x + 
x = 6 - 1
Or, 
x = 5
or, 
x = 5
∴ x = 5
Now, Put the value of x in eq 1
So, y = x - 1
Or, y = × 5 - 1
or, y = 
- 1
Or, y = - 1 - 1
I.e y = -2
So, For x = 5 , y = - 2
Point is (
, 
) = (5 , - 2)
Again , put the value of x in eq 2
So, y = x - 6
Or, y = × 5 - 6
Or, y = 
- 6
Or, y = 4 - 6
I.e y = - 2
So, For x = 5 , y = - 2
Point is (
, 
) = (5 , - 2)
Hence, The points for the given to linear equations is (5 , - 2) and (5 , - 2)
The points is plotted on the graph shown . Answer
Answer:
s = 2q + 3
Step-by-step explanation:
A linear function has the form:
● y = mx + b
● y is the output of the function
● x is the variabke that we input
● b is the y-intetcept.
Focus on y and x.
Notice that y depends of the value of x. The value of y changes by changing x. So the value of x controls the output y.
y is dependent but x is not.
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 6q = 3s - 9
We want q to be the independent variable wich means that q will be the input. Therefore s should be the output.
The strategy we are going to follow is separating s in one side alone.
● 6q = 3s - 9
Add 9 to both sides
● 6q + 9 = 3s -9 + 9
● 6q + 9 = 3s
Divide both sides by 3
● (6q + 9)/3 = (3s)/3
● (6q)/3 + 9/3 = s
● s = 2q + 3
So the answer is s = 2q + 3
Answer:
Triangle #2
Step-by-step explanation:
Translation involves the movement of a triangle without changing its direction or shape. It basically involves the sliding of a triangle, so Triangle 2 satisfies the definition of translation.
10 runners ran fewer than 4 km
