PLEASE HELP ME BRANNIEST

Mathematics

1 answer:

velikii [3]3 years ago

6 0

$\text{The point-slope form}\\\\y-y_1=m(x-x_1)\\\\m-slope\\------------------------\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ l\iff m_1m_2=-1\\\\\text{We have}\\\\y-3=-4(x+5)\to m_1=-4\\\\y=mx+b\to-4m=-1\qquad\text{divide both sides by (-4)}\\\\m=\dfrac{1}{4}\\\\\text{We have the point (-5, 7) and the slope. Substitute:}\\\\y-7=\dfrac{1}{4}(x-(-5))\\\\Answer:\ \boxed{y-7=\dfrac{1}{4}(x+5)}\to\boxed{C.}$

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Step-by-step explanation:

x months

$f(x) =\frac{x^2+64}{2x}$ 1 ≤ x ≤ 12

minimum: $f'(x) = 0$

$f'(x) = (\frac{x^{2} +64}{2x})' = \frac{(x^{2} +64)'.2x - (x^{2} +64).(2x)'}{(2x)^2}= \frac{2x.2x-(x^{2}+64).2}{4x^{2} } = \frac{4x^2 - 2x^2-64}{4x^2}=\frac{2x^2-64}{4x^2}$