Distance between 2 points formula:
d = √[(x1 - x2)^2 + (y1 - y2)^2]
Plug in
d = √[(-4√2 + √32)^2 + (-√12 - 2√3)^2]
d = √[(-4√2 + 4√2)^2 + (-2√3 - 2√3)^2]
d = √[0 + (-4√3)^2]
d = √(16 * 3)
d = 4√3
Answer
Last one
4√3
6x-8
2(3x-5) use the distributive property to get 6x-10
6x-10 is not the same as 6x-8 so the two equations are not equivalent.
area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...
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