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garri49 [273]
3 years ago
5

Determine which pair of points has a negative slope.

Mathematics
2 answers:
RoseWind [281]3 years ago
6 0

Answer:

(–8, 1), (8, –8)

Step-by-step explanation:

aev [14]3 years ago
6 0

Answer:

(-8, 1), (8, -8) has a negative slope

Step-by-step explanation:

1). y2 - y1 / x2 - x1

7 - 9 / 5 - 6

= 2

2). y2 - y1 / x2 - x1

6 - (-2) / 3 - (-9)

= 2/3

3). y2 - y1 / x2 - x1

-8 - 1 / 8 - (-8)

-9/16

4). y2 - y1 / x2 - x1

-9 - (-8) / -1 - 2

= 1/3

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1. Determine a rule that could be used to explain how the volume of a
Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

                                  V_c = \pi *r^2*h

- Similarly, the volume of cone ( V_c ) is represented by:

                                  V_c = \frac{1}{3}*\pi *r^2 * h

Where,

               r : The radius of cylinder / radius of circular base of the cone

               h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

                                  V = C*r^2

Where,

            C: The constant of proportionality

- Hence the proportional relation is expressed as:

                                 V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

                                V = C*(a*r)^2\\\\V = C*a^2*r^2

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

                              V = (\frac{1}{3} \pi *r^2*h)*a^2

                                          &

                              V = ( \pi *r^2*h)*a^2

8 0
3 years ago
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width.  In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0
3 years ago
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erik [133]

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

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Alina [70]
If you mean 2x=40 x=20 
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inysia [295]
The other leg of the units is 2
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3 years ago
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