Aperson makes a mistake when copying information regarding a particular triangle. the copied information is as follows: two sides of a triangle are the same length. the third side is 10 feet less than three times the length of one of the other sides. the perimeter of the triangle is 5 feet. what is the mistake?

  No such triangle can exist. Any of the described relations may be in error.

Step-by-step explanation:

Taken at face value, the sum of the lengths of the sides is ...

  x + x + (3x-10) = 5

  5x = 15

  x = 3

so the third side is 3·3 -10 = -1 in length. No such triangle can exist.

If one side is actually 3x-10, the perimeter must be greater than 6 2/3 and less than 40.

If the perimeter is actually 5, then the third side must be 3x-7.5 or an expression with an even smaller constant.

So, the mistake could be in copying any of the numbers, or in copying the multiplier in the description of the 3rd side. There is insufficient information to tell exactly what the mistake is.

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!