Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:

Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:



On further simplification, we get


Therefore, the distance between the given points is
units.
Answer:
x = 104
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
24+x = 128
Subtract 24 from each side
24+x-24 =128 -24
x =104
The given system of equation has no solution.
<u>Step-by-step explanation</u>:
<u><em>step 1</em></u><em> :</em>
The given equations are 4x + 2y = 14 and 2x + y = 7.
<u><em>step 2</em></u><em> :</em>
Let 4x + 2y = 14 be the first equation.
Let 2x + y = 7 be the second equation.
The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.
<u><em>step 3</em></u><em> :</em>
In first equation taking 2 out as a common factor on both sides, the equation becomes:
2 (2x + y) = 2 (7)
So, the first equation resembles the second one.
<u><em>step 4</em></u><em> :</em>
Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.
Ann = 3 CD's
Ann = 2x-3
5 = 2x-3
x= CD's bob has
5 = 2x-3 is the equation
to solve
add 3 to each side
8 = 2x
divide by 2
x =4
bob has 4 CD's, ann has 5