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2 years ago

A polygon has verticies of (-2,0), (0,2), (4,3), (5,-2), and (1,-3). What type of shape is it?

Mathematics

2 answers:

Mekhanik [1.2K]2 years ago

6 0

Answer:

I think it c ssry if it is wrong

Angelina_Jolie [31]2 years ago

6 0

Answer:

D. pentagon

Step-by-step explanation:

Any shape that has 5 verticies is a pentagon.

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Look at Andrea’s running journal.

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First align the decimal points and the numbers, then add the extra 0's if needed. Lastly, add and the total answer is 14.225.

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2 years ago

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A parabola, with its vertex at the origin, has a directrix at y = 3. Which statements about the parabola are true? Select two op

shutvik [7]

Answer:

Step-by-step explanation:

Let's answer these questions in an all-encompassing kind of explanation. If you plot the vertex and the directrix, you see that the vertex is below the directrix. Because of the fact that a parabola opens AWAY from the directrix, and wraps itself around the focus, we know it's an upside down parabola of the form

$4p(y-k)=-(x-h)^2$

The p value from the equation is a distance, specifically the distance between either the vertex and the directrix, or the vertex and the focus. The vertex is exactly in the middle of the directrix and the focus. So that tells us that the focus is 3 units below the vertex (because the directrix is 3 units above the vertex). We also know from this that p = 3.

Filling in the equation with a vertex of (0, 0) which is our h and k respectively:

$4(3)(y-0)=-(x-0)^2$ which simplifies to

$12y=-x^2$ and multiplying both sides by -1:

$-12y=x^2$ . This is not standard form, but it matches what your equation is in the choices. So to sum up:

The focus is located at (0, -3) and the first choice is true.

The parabola opens upside down and the second choice is not true.

The p value is found by counting the units between the vertex and the directrix, so the third choice is not true.

We solved the equation by filling in the values for h, k, and p and got that the equation in the fourth choice is true.

So the fifth choice is not true.

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2 years ago

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What is the multiplicative rate of change for the exponential function f(x) = f start bracket x end bracket equals two start bra

zvonat [6]

Answer:

0.4

Step-by-step explanation:

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A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If

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We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

$V=\frac{4}{3}\pi r^3$ , where r represents radius of sphere.