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diamong [38]
3 years ago
6

What is the slope of a line that passes through the points (-2, 3) and (4, -12)? Please hurry

Mathematics
2 answers:
IgorC [24]3 years ago
7 0
6/-15 simplified is 2\-5 explanation: you subtract 4-(-2) which is 6 then -12-3 which is -15. Then I simplified to 2/-5 (sorry if I am wrong)
horsena [70]3 years ago
4 0
So you subtract y1 from y2 and get -15 and you subtract 4 and -2 and get 6 so -15/6 which simplifies to -5/2 so the answer is m= -5/2
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three cones have a volume of 192π cm³.Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm. fin
andrew11 [14]

9514 1404 393

Answer:

  A: 144 cm

  B: 64 cm

  C: 36 cm

Step-by-step explanation:

The volume of a cone is given by ...

  V = (1/3)πr²h

Solving for h, we get ...

  3V/(πr²) = h

Filling in the given values, we get ...

  3(192π)/(πr²) = h

  576/r² = h

Then the heights of the different cones are ...

  A: r = 2, h = 576/4 = 144 . . . cm

  B: r = 3, h = 576/9 = 64 . . . cm

  C: r = 4, h = 576/16 = 36 . . . cm

8 0
3 years ago
The probability of a tornado occurring in a subdivision in Tornado Alley in the United States has been estimated to be 0.2 for o
hoa [83]

Answer:

Probability is 0.831727

Step-by-step explanation:

The probability can be calculated as below

There are multiple scenarios

Scanerio 1

0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769

Scanerio 2

1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06

Scanerio 3

2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027

Scanerio 4

3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027

P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727

8 0
3 years ago
Simplify the variable expression by evaluating its numerical part.
Virty [35]
You can use this one app it’s called Cymath it’s really helpful with these types of problems,
6 0
2 years ago
Find the Y-coordinate of point P that lies 1/3 along segment RS, where R (-7, -2) and S (2, 4).
QveST [7]

Solution:

Given that the point P lies 1/3 along the segment RS as shown below:

To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

\begin{gathered} RP:PS \\ \Rightarrow\frac{1}{3}:\frac{2}{3} \\ thus,\text{ we have} \\ 1:2 \end{gathered}

Using the section formula expressed as

[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]

In this case,

\begin{gathered} m=1 \\ n=2 \end{gathered}

where

\begin{gathered} x_1=-7 \\ y_1=-2 \\ x_2=2 \\ y_2=4 \end{gathered}

Thus, by substitution, we have

\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}

Hence, the y-coordinate of the point P is

0

8 0
1 year ago
A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fenci
sveta [45]

Answer:

x  =  500 yd

y  =  250 yd

A(max) = 125000 yd²

Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the  rectangle  is  p  =  2*x  + 2* y  ( but only 1 x will be fenced)

p  =  x  +  2*y

1000  =  x   +  2 * y         ⇒    y  =  (1000 - x )/ 2

And   A(r)  =  x * y

Are as fuction of x

A(x)  =  x  *  (  1000  -  x ) / 2

A(x)  =   1000*x / 2 -  x² / 2

A´(x)  =  500  -  2*x/2

A´(x)  =  0              500   -  x   =  0

x  =  500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x)  =  -1         C´´(x) < 0  then efectevly we got a maximum at  x  = 500

The side  y  = ( 1000  -  x ) / 2

y  =  500/ 2

y  =  250 yd

A(max)  =  250 * 500

A(max) = 125000 yd²

3 0
2 years ago
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