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sp2606 [1]
2 years ago
10

Find the slope of the line that passes through these two points.

Mathematics
2 answers:
AysviL [449]2 years ago
8 0

Answer:

1/5

Step-by-step explanation:

\frac{2-1}{3--2} = \frac{1}{5}

Lana71 [14]2 years ago
4 0

Answer: 1/5

Step-by-step explanation: Following our hint,

let's start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

So we have m = 2 - 1 / 3 - (-2) or 1 / 5.

So our slope is 1/5.

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A right triangle has one vertex on the graph of y = 9 - x^2 , x > 0, at ( x , y ), another at the origin, and the third on th
jenyasd209 [6]

Answer:

  a.  A(x) = (1/2)x(9 -x^2)

  b.  x > 0 . . . or . . . 0 < x < 3 (see below)

  c.  A(2) = 5

  d.  x = √3; A(√3) = 3√3

Step-by-step explanation:

a. The area is computed in the usual way, as half the product of the base and height of the triangle. Here, the base is x, and the height is y, so the area is ...

  A(x) = (1/2)(x)(y)

  A(x) = (1/2)(x)(9-x^2)

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b. The problem statement defines two of the triangle vertices only for x > 0. However, we note that for x > 3, the y-coordinate of one of the vertices is negative. Straightforward application of the area formula in Part A will result in negative areas for x > 3, so a reasonable domain might be (0, 3).

On the other hand, the geometrical concept of a line segment and of a triangle does not admit negative line lengths. Hence the area for a triangle with its vertex below the x-axis (green in the figure) will also be considered to be positive. In that event, the domain of A(x) = (1/2)(x)|9 -x^2| will be (0, ∞).

__

c. A(2) = (1/2)(2)(9 -2^2) = 5

The area is 5 when x=2.

__

d. On the interval (0, 3), the value of x that maximizes area is x=√3. If we consider the domain to be all positive real numbers, then there is no maximum area (blue dashed curve on the graph).

5 0
2 years ago
Using the same coin, flip it a new twenty times and record your results. What is the experimental probability of flipping a head
babunello [35]

Answer:

50%

Step-by-step explanation:

No matter how many times you flip a coin, there is always a 50% probability that you will flip heads because there are only two outcomes.

3 0
2 years ago
X - 7 = 10 2) 11 + p = 31
ycow [4]

Answer:

x=17 p=20

Step-by-step explanation:

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Somebody please help me on brainly :( and the links y’all keeping sending are not working so please just help me on brainly
dsp73

Answer:

  9 in

Step-by-step explanation:

For an n-sided polygon, the length of the apothem is ...

 a = r·cos(180°/n)

We assume your problem statement is saying the radius is 10 inches. For a hexagon, n=6 and we have ...

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Rounded to the nearest inch, the apothem is 9 in.

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