Science

2 answers:

7 0

When it's moving, the head of the hammer has <em>kinetic energy</em>.

We can draw this conclusion logically from the cross-sectional dimensions
of the wood (2 x 4) and the size of the nails (16-penny).

juin [17]3 years ago

6 0

C kinetic energy. As it loses potential energy, it gain kinetic energy

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Joaquin has a total of 12.5 hours of football practice after school five days a week. How many hours of practice will he have fo

GREYUIT [131]

Answer:

55 hours in 22 days

Step-by-step explanation:

12.5/5 = h/d

12.5/5 = h/22

5h=275

h=55

4 0

3 years ago

Find all x such that the distance between (-6,-6) and (x,-5) is 19.

amm1812

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{d}{19}=\sqrt{[x-(-6)]^2+[-5-6]^2}\implies 19=\sqrt{(x+6)^2+(-11)^2} \\\\\\ 19^2=(x+6)^2+(-11)^2\implies 361 = (x^2+12x+36)+121 \\\\\\ 361=x^2+12x+157\implies 0=x^2+12x-204 \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{-204} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}$

$\bf x = \cfrac{-12\pm\sqrt{12^2-4(1)(-204)}}{2(1)}\implies x = \cfrac{-12\pm \sqrt{144+816}}{2} \\\\\\ x = \cfrac{-12\pm \sqrt{960}}{2}\implies x = \cfrac{-12\pm \sqrt{8^2\cdot 15}}{2}\implies x = \cfrac{-12\pm 8\sqrt{15}}{2} \\\\\\ x = -6\pm 4\sqrt{15}\implies x \approx \begin{cases} 9.49\\ -21.49 \end{cases}$