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netineya [11]
3 years ago
5

What is the slope of the line that passes through the points ( 2 , 0 ) (2,0) and ( 32 , − 5 ) ? (32,−5)? Write your answer in si

mplest form.
Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Answer:

m=-1/6

Step-by-step explanation:

The slope equation is m=(y₂-y₁)/(x₂-x₁)

For this problem

y₂=-5

y₁=0

X₂=32

x₁=2

Then applying the equation

m=(-5-0)/(32-2)

m=(-5)/(30)

m=-1/6

m=-0,167

The negative means the slope is decreasing

You might be interested in
part b is: if the energy release of one earthquake is 10,000 times that of another, how much larger is the Richter scale reading
kotegsom [21]

You could use the information from part A to get B. I'm not sure if you want A or not, so I'll do it as well.

A

Eo = 10^4.4 Joules

E = 2 * 10^15

Formula

M = (2/3) log (E/Eo)

M = 2/3 * log (2 * 10^15/10^(4.4) )

M = 2/3 * log( 7.9621* 10^10)

M = 2/3 * 10.901

M = 7.26735 on the Richter scale. That is a huge amount of energy.

Part B

Suppose that you use Eo and your base. Eo is 10^4.4

Now the new earthquake is E = 10000 * Eo

So what you get now is M = (2/3)* Log(10000 * Eo / Eo )

The Eo's cancel out.

M = 2/3 * log(10000)

M = 2/3 of 4

M = 8/3

M = 2.6667 difference in the Richter Scale Reading. It is still an awful lot of energy.

What this tells you is that if the original reading was (say) 6 then the 10000 times bigger reading would 8.266667

Answer: M = 2.6667


8 0
3 years ago
Read 2 more answers
Find the values of x and y.​
olchik [2.2K]

Answer:

value of x = 26

value of y = 26 \|2

( 26 root 2 )

Step-by-step explanation:

here's the solution : -

=》

\sin(45)  =   \frac{perpendicular}{hypotenuse}

=》

\frac{1}{ \sqrt{2} }  =  \frac{26}{y}

=》

y = 26 \sqrt{2}

and

\tan(45)  =  \frac{perpendicular}{base}

=》

1 =  \frac{26}{x}

=》

x = 26

8 0
3 years ago
(x1,y1) is (-4,-2) and (x2,y2) is (2,4)
olga nikolaevna [1]

Answer:

y = x+2

Step-by-step explanation:

(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

Slope intercept form is y = mx+b

m = slope

b = add on

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substitute numbers

Slope = \frac{4-(-2)}{2-(-4)}

Two negatives = one positive

Simplify

Slope = \frac{4+2}{2+4}=\frac{6}{6}=1

The slope is 1

We can substitute y, x, and the slope

4 = 2*1 + b

4 = 2+b

b = 2

Slope intercept form is y = mx+b

Answer is y = x+2

Hope this helps :)

6 0
3 years ago
What is -10m - 6m -8 -6m
WINSTONCH [101]

-10m - 6m -8 -6m = −22m −8

7 0
3 years ago
Solve the equation. 2x+1/3+x-1/4=13/2
inessss [21]

The solution of the equation is x = 71 / 36.

<h3>How to solve an equation with one variable</h3>

Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:

2 · x + 1 / 3 + x - 1 / 4 = 13 / 2           Given

2 · x + x = 13 / 2 - 1 / 3 - 1 / 4            Compatibility with addition / Existence of additive inverse / Modulative property

3 · x = 71 / 12                                    Definitions of addition and subtraction / Distributive property

x = 71 / 36                                         Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result

The solution of the equation is x = 71 / 36.

To learn more on equations: brainly.com/question/10413253

#SPJ1

4 0
1 year ago
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