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Andreyy89
3 years ago
12

If the coordinates of a polygon graphed in the first quadrant with one vertex on the origin are (0,0), (a,0), (a,a), (0,a), then

what is the most precise name for the polygon?
Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0
We are given the coordinates of a polygon that are (0,0), (a,0), (a,a), (0,a). we can project these coordinates in a plot and see that there are four sides of the polygon. The sides of the polygon re equal and perpendicular to each other. Hence the polygon is a square
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a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream
Nonamiya [84]

the coordinates where the bridges must be built is (3,-6) and (6,3) .

<u>Step-by-step explanation:</u>

Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:

Basically we need to find values of x for which f(x) = g(x) :

⇒ f(x)-g(x)=0

⇒ 3x^2- 24x + 39-(3x - 15 ) =0

⇒ 3x^2- 24x + 39-3x + 15  =0

⇒ 3x^2- 27x + 54  =0

⇒ x^2- 9x + 18  =0

⇒ x^2- 6x-3x + 18  =0

⇒ x(x- 6)-3(x - 6)  =0

⇒ (x-3)(x- 6)  =0

⇒ x=3 , x=6

Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6

Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3

Therefore , the coordinates where the bridges must be built is (3,-6) and (6,3) .

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Step-by-step explanation:

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lana [24]

Answer:

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Step-by-step explanation:

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Which awnser is an equation in point-slope form for the given point and slope?
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The correct answer is B) y + 9 = 2(x - 1)

In order to find this, simply take the point and the slope and plug into the base form of point-slope form.

y - y1 = m(x - x1)

Use the slope for m and the point for (x1, y1)

y + 9 = 2(x - 1)

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Answer:

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