Answer:
13
Step-by-step explanation:
to find the length between two point you've got to use the formula
√(x2-x1)^2 +(y2-y1)^2
√(-2-3)^2 + (-4-8)^2
√(-5)^2 + (-12)^2
√ 25+144
√169
13
Given: y = 2x^2 - 32x + 56
1) y = 2 [ x^2 - 16x] + 56
2) y = 2 [ (x - 8)^2 - 64 ] + 56
3) y = 2 (x - 8)^2 - 128 + 56
4) y = 2 (x - 8)^2 - 72 <----------- answer
Minimum = vertex = (h,k) = (8, - 72)
=> x-ccordinate of the minimum = 8 <-------- answer
3.987 rounded to the nearest tenth = 4.0