Graph the line with slope 3/2 and y-intercept - 7.

Mathematics

1 answer:

Ronch [10]3 years ago

4 0

Answer:

14=3x-2y

$y = m x+ c \\ y = \frac{3}{2} x - 7 \\ y = \frac{3x - 14}{2} \\ 2y = 3x - 14 \\ 14 = 3x - 2y \\ therefore \\ 14 = 3x - 2y \: is \: the \: required \: eqution \: of \: the \: line$

it can be wrong also

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Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 52 inches long and cuts it into

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Answer:

Steve should use:

8.53 Inch of Wire to make the circle
43.47 Inches of Wire to make the Square.

Step-by-step explanation:

Let Steve cut the wire so that the first piece has length x.

Therefore, the second piece will have a length of (52 - x).

The wire of length x is used to make a circle

Circumference of a Circle,

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$\text{Area of a circle, A}=\pi r^2= \pi (\dfrac{x}{2\pi})^2=\pi (\dfrac{x^2}{4\pi^2})\\A=\dfrac{x^2}{4\pi}$

The wire of length (52-x) is used to make a square.

$\text{Side length of the Square,}$ $s= \dfrac{52-x}{4}$

$\text{Area of the Square},s^2= \left(\dfrac{52-x}{4}\right)^2=\dfrac{(52-x)^2}{16}=\dfrac{x^2-104x+2704}{16}$

Total Area = Area of Circle + Area of Square

$Area=\dfrac{x^2}{4\pi}+\dfrac{x^2-104x+2704}{16}$

Let us simplify the expression

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