Answer:
n is 
, p is 
, and r has infinitely many different lines that have this property.
Step-by-step explanation:
If two lines have no solutions, that means that they are parallel. The slopes of two lines are the same if they are parallel. So n's slope is 
. The y-intercept can be anything except -5, or +b. If two lines have infinitely many solutions, those two lines are exactly the same. So p is just m. If two lines have one and only one solution, that just means the slopes and y-intercepts are different. Since we don't know anything else about line r, we an't model an equation for it.
Answer:
The rate of change is -5
The initial value is 25
Step-by-step explanation:
Since, this is a linear relation
so, we can select any two points and find equation of line
points are (1,20) and (3,10)
so,
now, we can find slope
now, we can plug values
now, we can use point slope form of line
now, we can plug values
now, we can solve for y
we know that
slope is the rate of change
So, the rate of change is -5
For finding initial value , we can plug x=0 and find y
So, initial value is 25
add 14+8 first, which is 22
then, multiply 6 by 22, which is 132
and lastly, add 12
the answer is 144
Answer:
Commutative Property
Step-by-step explanation:
Commutative property is the property where if you change the order of the operands, it does not change the result.
Answer:
35triangles
Step-by-step explanation:
Given
Total distinct points = 7
If we are to form triangles using the dots,
Total points in a triangle = 3
Using the combination rule;
number of triangles formed = 7C3
7C3 = 7!/(7-3)!3!
7C3 = 7!/4!3!
7C3 = 7*6*5*4!/4!3!
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
Hence the amount of triangles that can be formed is 35triangles
