Answer:
7.6 units (nearest tenth)
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{ {(y1 - y2)}^{2} + {(x1 - x2)}^{2} } }[/tex]
Distance between the 2 points
[tex] = \sqrt{ {[ - 4 - ( - 7)]}^{2} + (8 - 1)^{2} } [/tex]
[tex] = \sqrt{ {( - 4 + 7)}^{2} + (7) {}^{2} } [/tex]
[tex] = \sqrt{ {3}^{2} + {7}^{2} } [/tex]
[tex] = \sqrt{9 + 49} [/tex]
[tex] = \sqrt{58} [/tex]
= 7.6 (nearest tenth)
