Answer:
PS = 7
k = 9
Step-by-step explanation:
RS = PQ Given
3x - 7 = x - 1 Substitute algebraic terms. Subtract x from both sides
3x-x - 7 = x - 1 - x Combine
2x - 7 = - 1 Add 7 to both sides.
2x - 7+7 = -1+7 Combine
2x = 6 Divide by 2
2x/2 = 6/2
x = 3
Length of PS = x - 1 + x + 3x - 7
Length of PS = 5x - 8
Length of PS = 5*3 - 8
Length of PS = 7
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f(x) = k - x^2
x = 2
f(x) = 5 is the given point
5 = k - x^2 Substitute for x^2
5 = k - 2^2 Expand
5 = k - 4 Add 4 to both sides.
5+4=k-4+4 Combine
k = 9
