(x + 2)(h + t)
(t+h)(x+2)
What does the question ask? Does it ask you to simplify the above, or is it part of a larger question where values for t, x and h are given? Is it definitely Tx rather than tx? If asked to simplify it, there are numerous ways to do so (but none really make it 'simpler' as such, so it is a bit of a strange one). For example, by factorising: tx + 2t + hx + 2h = t(x + 2) + h(x+2) or we could write (again by factorising) tx + 2t + hx + 2h = x(t + h) + 2(t + h) Which is useful depends on what the question asks, really.
If the graph of the function hdefined by =hx+−2x29is translated verticallydownward by 6units, it becomes the graph of a function g.Find the expression for gx.
(t+h)(x+2)
What does the question ask? Does it ask you to simplify the above, or is it part of a larger question where values for t, x and h are given? Is it definitely Tx rather than tx? If asked to simplify it, there are numerous ways to do so (but none really make it 'simpler' as such, so it is a bit of a strange one). For example, by factorising: tx + 2t + hx + 2h = t(x + 2) + h(x+2) or we could write (again by factorising) tx + 2t + hx + 2h = x(t + h) + 2(t + h) Which is useful depends on what the question asks, really.
3tx + 6t + 3hx +6h = 3(tx + 2t +hx +2h) = 3[t(x + 2) + h(x + 2)] = 3(x + 2)(t + h)
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Points: (h, k) and (3h, -5k) Slope: -3k/h Perpendicular slope: h/3k Midpoint: (2h, -2k) Perpendicular equation: y--2k = h/3k(x-2h) Multiply all terms by 3k: 3ky--6k2 = h(x-2h) Equation in terms of 3ky = hx-2h2-6k2 Perpendicular bisector equation in its general form: hx-3ky-2h2-6k2 = 0
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The acid dissociation constant, Ka, is a measure of how well an acid donates a proton in a chemical reaction. For the reaction HX ⇌ H+ + X-, the expression for Ka is [H+][X-]/[HX]. The value of Ka indicates the strength of the acid - higher Ka values indicate stronger acids.
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The acid dissociation constant (Ka) for a weak acid (HX) at equilibrium is defined by the equation: ( Ka = \frac{[H^+][X^-]}{[HX]} ). Here, ([H^+]) and ([X^-]) are the concentrations of the hydrogen ions and the conjugate base at equilibrium, respectively, while ([HX]) is the concentration of the undissociated acid. A higher Ka value indicates a stronger acid, as it signifies a greater tendency to dissociate into its ions.
Points: (k, 3h) and (3k, h) Slope: (h-3h)/3k-k) = -2h/2k => -h/k Equation: y-3h = -h/k(x-k) => ky-3hk = -hx+hk => ky = -hx+4hk Equation in its general form: hx+ky-4hk = 0
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