Timothy has a fenced-in garden in the shape of a
rhombus. The length of the longer diagonal is 24 feet,
and the length of the shorter diagonal is 18 feet.
What is the length of one side of the fenced-in
garden?
O
12 ft
15 ft
21 ft
108 ft

From the attached graphic we see that

rhombus side =   Sqr Root [(Long Diagonal / 2) ^ 2 + (Short Diagonal / 2) ^ 2]

rhombus side =   Sqr Root [(24/2)^2 + (18/2)^2]

rhombus side =   Sqr Root [144 + 81]

rhombus side =  Sqr Root (225)

rhombus side = 15 feet

Step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions