Answer:

Step-by-step explanation:
Given


Required
Determine the domain
First, we need to solve for p
Substitute 70 for t in 

Collect Like Terms


Solve for p


This implies that Larry can not invite up to 6 people.
Hence, the domain can be represented as: 
Answer:
see the explanation
Step-by-step explanation:
Let
A (1,6)------> location Brianna's house on a map
B (5,3)------> location Jordan's house on a map
we know that
One possible path from Brianna's house to Jordan's house it's a straight line ( the shortest distance)
using a graph tool
see the attached figure
<em>Find the distance points AB</em>
the formula to calculate the distance between two points is equal to

substitute the values




The distance from Brianna's house to Jordan's house is 5 units
Answer:
-19/132
Step-by-step explanation:
To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get
=
=

Answer:
(x, y) = (18/5, 16/5)
OR
(x, y) = (3.6, 3.2)
1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.
To find the y-intercept, solve for "b".
b=-7/3
Our equation would then be y=2/3x-7/3
2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.
b=-11
So our perpendicular equation would be y=-3/2x-11
Hope that was helpful. :)