2) If we have 2 points K & M with their coordinates (x₁,y₁) & (x₂,y₂), the the distance of KM is given by the formula:
KM = √[(x₂-x₁)² + (y₂-y1)²] ; K(2,3) & M(5,1) (Given)
KM = √[(5-2)² + (1-3)²] ==>√(9+ 4) ==> KM = √13 (ANSWER D)
3) The coordinates are A(4,7) & B(-3,9). Follow & apply the same methodology as above:
AB =√[(x₂-x₁)² + (y₂-y1)²] ; A(4,7) & B(-3,9) (Given)
AB =√[(-3-4)² + (9-7)²] ==> AB = √[(-7)² + (2)²] ==> √(49+4) =√53 (B)
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We are given the parent function, f(x) = 5x and is vertically compressed by a factor of 1/2, shifted to the right (3 units) and down two units.
Vertical compression makes the function:
f(x) = (1/2) * 5x
shifted 3 units to the right makes the function:
f(x) = (1/2) * 5 (x+3)
shifted 2 units down makes the function:
f(x) = (1/2) *(5 (x+3)) - 2
therefore, this function is the resulting function after performing all three adjustments of the parent function. First, compression, then shift to left/right, then shift up and down.
-3,-14,-27. This sequence is subtracting the next odd number
The chances are really high well depending where they where all place in the bag
