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NeTakaya
3 years ago
5

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 200 nails an

d each large box has 400 nails. The contractor bought twice as many small boxes as large boxes, which altogether had 3200 nails. Graphically solve a system of equations in order to determine the number of small boxes purchased, x,x, and the number of large boxes purchased, yy.
Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer: 21

Step-by-step explanation:

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7.2 fish?

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Read 2 more answers
Just part c please thanks
Dovator [93]
Unfortunately the portion of the graph shown does not show the locations of points A and B, nor does it show sufficient parts of the curve.

Fortunately, to do part C, it is not necessary to use the graph of the function, nor the locations of points A & B, since we know that t=-1 at A.

The solution is as follows:
We know that the tangent line has the equation
l : 2x -5y -9 = 0 ...................(1)
and that the parametric equation is
x = t^3 -8t;  y = t^2 ..............(2)

We can obtain the intersections of the tangent line (1) with the original curve (2) by substituting (2) in (1), giving
f(t) = 2*(t^3-8*t) -5*(t^2)-9 = 0
or on simplification,
f(t) = 2t^3 -5t^2 -16t -9 = 0 ....................(3) parametric equation of intersection points
Solution of which gives t=9/2 or t=-1.

Since t=-1 is the given tangent point, we conclude that t=9/2 is point B.

Translating into rectangular coordinates for t=9/2, we get
x=t^3-8t=(9/2)^3-8(9/2)= 441/8 = 55.125
y=t^2=(9/2)^2= 81/4 = 20.25

Therefore the coordinates of B:
t=9/2, or (55.125, 20.25)

Attached is the graphics of f(t), showing that t=-1 is a tangent line, and that the solutions are t=-1, or t=9/2.

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3 years ago
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Find the circumference of the whole circle,divide by 4,and then add the radius twice.
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