Between which two consecutive integers does √47 lie?

a.
5 and 6

b.

6 and 7

c.
7 and 8

d.
8 and 9

Two positive integers are 3 units apart on a number line. their product is 108. which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108

Segment xy is dilated through point m with a scale factor of 2. which segment shows the correct result of the dilation

7. if the value of x varies directly with the value of y, and x = 3 when y = 21. what is the valu y, and x = 3 when y = 21. what is the value of x when y = 105?