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The Pythagorean Theorem

Determine the algebraic representation of f(x)

This gives which is the same as  

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Explanation:

The general template for a square root function is

where,

The graph has not been scaled vertically. In other words, it has not been vertically stretched or vertically compressed. So the value of 'a' is equal to 1.

The value of h is 2 since the graph has been shifted 2 units to the right. If we wanted to go left, then h would be negative.

The value of k is 0 because there is no vertical shifting going on.

In summary,

a = 1, h = 2, k = 0

Leading

to turn into

which simplifies to

The Pythagorean theorem is not used in this problem.

two? xd

step-by-step explanation:

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: