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OverLord2011 [107]
4 years ago
13

What is the equation of the line shown in this graph? graph shown down below

Mathematics
1 answer:
Andrew [12]4 years ago
5 0

Answer:   x = -2

Step-by-step explanation:

In the given picture , the line is parallel to the y- axis and passing through (-2,2) and (-2 , -3).

The equation of line parallel to y-axis (has slope undefined) is given by

x= a , where a is the point on x-axis through which the line is passing .

For the given graph , the line is passing through x = -2.

Therefore  , the equation of the given line = x = -2

Hence, the correct answer = x = -2

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When a stepladder is placed as shown, is it possible for the lower ends of the ladder to be 12 feet apart? Explain​
nataly862011 [7]

Answer:

No, with the guides in between the two ladders, it is not possible for the lower ends of the ladder to be up to 12 feet apart

Step-by-step explanation:

The given parameters are;

The length of two sides of the step ladder = 12 feet

The maximum value allowable for the included angle between the two 12 feet ladders = 58°

Therefore, the maximum value of the third side facing the included angle is given as follows;

let "a" represent the maximum value of the third side formed by the distance apart of the lower end of the ladder, by cosine rule, we have;

a² = 12² + 12² - 2 × 12 × 12 × cos(58°) = 135.383251901

∴ a = √(12² + 12² - 2 × 12 × 12 × cos(58°)) ≈ 11.64

The maximum value of the third side formed by the distance apart of the lower end of the ladder = a ≈ 11.64 feet < 12 feet

Therefore, it is not possible for the lower ends of the ladder to be up to 12 feet apart.

5 0
3 years ago
Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle.
algol13

Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.


Since, perimeter is the total length of the outer boundary of the figure. Therefore,

Perimeter of the polygon is=AB+BE+ED+DC+CA

                                             =18+17+8+18+15

                                             =76 \ ft


Area of the polygon = Area of Rectangle + Area of Triangle

                                  =[(18) \times (15)] + [(\frac{1}{2}) \times (8) \times (15)]

                                  =270 + [(\frac{8}{2}) \times (15)]

                                  =270 + [4 \times (15)]

                                  =270 + 60

                                  =330 \ {ft}^{2}

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3 years ago
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Answer:

13.2 liters

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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