Need help on 12,14,16

Mathematics

1 answer:

Helga [31]3 years ago

6 0

12. Since k is constant we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example if y varies directly as x, and y =6 when x=2, the constant of variation is k==3. The equation describing this direct variation is y=3x.

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On paper, make a rectangle that has points A and B as two of its vertices and has a perimeter of 40 units. Draw and label the tw

Westkost [7]

Answer:

$A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)$

Step-by-step explanation:

If a Rectangle has a perimeter of 40 units, then we can write that formula and find the a formula for the coordinates:

$\left\{\begin{matrix}w+l=20 & \\ w*l=100 & \end{matrix}\right.\Rightarrow w=20-l\Rightarrow (20-l)l=100\Rightarrow -l^2+20l-100=0\Rightarrow l^2-20l+100\Rightarrow (l-10)(l-10)\Rightarrow l=10\therefore l=10\: and\: w=10$