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IrinaVladis [17]
3 years ago
5

Slope of the line that contains (-8,2) , (7,-4)

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

\mathsf{slope=-\dfrac25}

Step-by-step explanation:

\mathsf{let \ (x_1,y_1)=(-8,2)}

\mathsf{let \ (x_2,y_2)=(7,-4)}

\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}

\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}

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Two cubes are tossed. Find P(only one shows a 2).
djverab [1.8K]
The probability that only one shows a 2.

There are 36 different outputs (6x6) = 36

There are 6 combinations where the first cube shows a 2, these are 2,1;2,2;2,3;2,4;2,5; and 2.6

There are 6 combinations where the second cube shows a 2: 1,2;2,2;3,2;4,2;5,2; and 6,2.

Of those one combination on each set shows two 2.

Then the number of combinations with only one 2 are 6 - 1 + 6 -1 = 10

Now the probabilit is 10 out of 36 = 10 / 36 = 5 / 18
 
4 0
3 years ago
Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati
Helen [10]

Step 1.

Calculate measure of angle α:

47^o-38^o=9^o

Step 2.

Calculate what fraction of the angle 360° ​​is the angle α:

\dfrac{9^o}{360^o}=\dfrac{1}{40}

Step 3.

Calculate the circumference of the Earth (circle):

C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi

Step 4.

The length of arc is equal 1/40 of the circumference:

\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi

\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi


<h3>Answer: A) 628 miles</h3>

7 0
4 years ago
An online furniture store sells chairs for $200 each and tables for $450 each. Every day, the store can ship a maximum of 26 pie
Sophie [7]

Answer:

its 10

Step-by-step explanation:

7 0
3 years ago
I need help?? please help
iris [78.8K]
Its easy you just have to do the pi formula
3 0
3 years ago
Use f(x)=1/2x and f^-1(x)=2x to solve the problems f^1(-2), f(-4), f(f^-1(-2)?
neonofarm [45]
F^1(-2) = 2(-2) = -4
f(-4) = 1/2 * -4 =  -2

f(f^-1(x)) = x    so answer is  -2
8 0
3 years ago
Read 2 more answers
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