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DochEvi [55]
3 years ago
11

Transcribed Image Text:to the Tledrest tentn. A landscaper wants to place a stone walkway from one corner of the rectangular law

n to the opposite corner. The lawn is 23ft by 18ft. a.) What is the length of the walkway to the nearest foot? b.) If the stones cover one foot each how many stone will he have to buy to make sure the path is covered?
Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

The length of the walkway is 24 ft, and you will need 24 stones to cover it.

<h3>What is the length of the walkway?</h3>

The length of the walkway will be equivalent to the hypotenuse of a right triangle with cathetus of 23ft and 18ft, so we can use the Pythagorean theorem to get it:

L^2  =(23fy)^2 + (18ft)^2

L = √( (23fy)^2 + (18ft)^2 ) = 23.77ft

The walkway is 23.77 ft long.

Rounding to the nearest foot, the length is 24 ft.

b) If each stone covers 1 ft, then you will need 24 stones.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

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Answer:

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Given:

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Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
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PART A

The equation of the parabola in vertex form is given by the formula,

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The point, (3,6) lies on the parabola.

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To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


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This will give us,


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This equation is now in the form,

y = a {x}^{2}  + bx + c
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