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SpyIntel [72]
3 years ago
9

a contractor buys 8.2 square feet of sheet metal. she used 2.1 square feet so far and has 183 worth of sheet metal remaning writ

e and solve an equation to find out how much sheet metal cost per square foot
Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:


Step-by-step explanation:

8.2 - 2.1 = 6.1

$183 / 6.1 = $30 for one sq. ft.

Just to make sure:

8.2 × $30 = $246

$246 / 8.2 = $30

So the contractor originally had 8.2 sq ft of metal and it was worth 246 so to find how much it cost you have to divide 8.2 and 246 which is 30 per sq ft.



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Elanso [62]

SOLUTION

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The focus of a parabola is (-3,-5) The directrix of the parabola is y=2
cricket20 [7]

Check the picture below.

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now, the vertex is half-way between those two guys, at a "p" distance from either one, if we move over the y-axis from -5 to +2, we have 7 units, half-way is 3.5 units, and that puts us at -1.5 or -1½, as you see in the picture, so the vertex is then at (-3 , -1½).

so the distance from the vertex to the focus point  is then 3½ units, however since the parabola is opening downwards, "p" is negative, thus "p = 3½".

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{using this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \begin{cases} h=-3\\ k=-\frac{3}{2}\\[0.7em] p=-\frac{7}{2} \end{cases}\implies 4\left( -\cfrac{7}{2} \right)\left[ y-\left(-\cfrac{3}{2} \right) \right]=\left[ x-\left( -3 \right) \right]^2 \\\\\\ -14\left( y+\cfrac{3}{2} \right)=(x+3)^2\implies y+\cfrac{3}{2} =-\cfrac{(x+3)^2}{14} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{1}{14}(x+3)^2-\cfrac{3}{2}~\hfill

4 0
3 years ago
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inysia [295]

Answer:

32.67

Step-by-step explanation:

18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.

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1 - 3/5 - 2/7 = 4/35

This basically answers the question

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