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erastovalidia [21]

3 years ago

10

Find the distance between the points (3, -1) and (6, 3) on the coordinate plane.

1 answer:

Ostrovityanka [42]3 years ago

6 0

The answer is (3,4) if I understand

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Jelly drank 2/5 of the water in her bottle. She drank 3 cups of water. How many total cups of water were in her bottle?

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Step-by-step explanation:

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Answer:

a. 0

Step-by-step explanation:

1. To find the slope given two points, use the following formula:

$\frac{y^{2}- y^{1} }{x^{2}-x^{1} }$

2. $y^{2}$ would be the second y-value (in the second ordered pair), 2, and $y^{1}$ would be the first y-value (in the first ordered pair), also 2.

3. Same for the x-values. $x^{2}$ is -2 and $x^{1}$ is 4

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miskamm [114]

Answer:

$(0,2)$ ; minimum

Step-by-step explanation:

Given:

The function is, $y=x^{2}+2$

The given function represent a parabola and can be expressed in vertex form as:

$y=(x-0)^{2}+2$

The vertex form of a parabola is $y=(x-h)^{2}+k$ , where, $(h,k)$ is the vertex.

So, the vertex is $(0,2)$ .

In order to graph the given parabola, we find some points on it.

Let $x=-2,y=(-2)^{2}+2=4+2=6$

$x=-1,y=(-1)^{2}+2=1+2=3$

$x=0,y=(0)^{2}+2=0+2=2$

$x=2,y=(2)^{2}+2=4+2=6$

$x=1,y=(1)^{2}+2=1+2=3$

So, the points are $(-2,6),(-1,3),(0,2),(1,3),(2,6)$ .

Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex $(0,2)$ , it is minimum.

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