Drag the tiles to the correct boxes to complete the pairs. Match each word problem to the equation that models it.
The sum of the squares of two positive integers is 394.
If one integer is 2 less than the other and the larger
integer is x, find the integers.
The numerator of a fraction is 5 more than its denominator.
If 3 is added to both the numerator and denominator,
the fraction reduces to 3. Find the original fraction if
x is its denominator.
The sum of a positive integer, x, and its inverse is .
Find the integer.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

13cm

step-by-step explanation:

(apex)

y = i/2 xtnop + (3i/2 tnop+ 1)

step-by-step explanation:

the picture is the step by step explanation.