(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'? 5 units
6 units
10 units
25 units
The line segments are translated 2 units to the left to form J'K' and M'N'. Which statement describes J'K' and M'N'?

Line segments J'K' and M'N' do not intersect and are closer together than JK and MN.
Line segments J'K' and M'N' intersect at (−2, 0) and are two times farther apart than JK and MN.
Line segments J'K' and M'N' intersect at (0, −2) and are two times closer together than JK and MN.
Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.

The answer is "Option a and Option d".

Step-by-step explanation:

In the given-question, the numbering of the choices was missing so, we define the number after that we define its explanation:  

In question 1, the translations were only the axis, which moves in the length of a segment, that doesn't change. Even so, the graph shifts only by growth, that's why the E'F 'duration will be the same as the EF length, which equals to "5 units".

In question 2, both JK and MN shifts to the left two units, and there would be no difference throughout the space between them, that's why the choice "d" will be correct.

its d. the first coordintaes are 10,32

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560