The graph shows the location of derek's, evan's, and frank's houses. each unit on the graph represents 1 block.

if frank walks from his house to derek's house, then on to evan's house along the path shown, how far will he have walked in blocks? round your answer to the nearest hundredth.

He walked 19.31 unit

Step-by-step explanation:

By the given table,

The number of blocks between Evan and frank = 8,

Also, the number of blocks between Evan Derek = 8,

Since, the segment joining Derek's and Evan's houses and the segment joining Evan's and Frank's house are perpendicular,

If x represents the number of blocks between Derek's and Frank's house,

Thus, by the pythagoras theorem,

Hence, the total number of blocks in which Frank have walked = Blocks between Derek's and Frank's house + Blocks between Derek's and Evan's house

= 11.31 + 8

= 19.31

Since, each block represents 1 unit,

Therefore, He walked total 19.31 units.

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

what does x eaqual

step-by-step explanation: