Cole uses2/3

Mathematics

1 answer:

White raven [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Multiply the 2/3 cups to 6

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At the same time a 12 foot adult elephant cast a 4.8 foot shadow a baby elephant casts a 2 foot shadow how tall is the baby elep

Vsevolod [243]

Set up a proportion here as the height over the shadow of the adult = to the height over the shadow of the baby. so you have 12/4.8 = height/2. cross multiply to get 12*2=4.8 times height, which is 24 = 4.8*height. divide both sides by 4.8 to get height = 5 feet

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3 years ago

What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)

IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3$