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motikmotik
3 years ago
15

Find the slope y - 2 = -3 (x+1) (show steps!!)

Mathematics
1 answer:
Vsevolod [243]3 years ago
6 0

y - 2 = -3 (x+1)

point slope form

y-y1 = m(x-x1)

looking at the above equation

the slope is -3

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Solve equation:<br><img src="https://tex.z-dn.net/?f=y%20%2B%20%20%5Cfrac%7B7%7D%7B8%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B8%7D%20"
Gala2k [10]

Answer: y = -1/2

Step-by-step explanation:

Subtract both sides by 7/8

y = 3/8 - 7/8

Then combine like terms

y = -4/8

Then simplify

y = -1/2

4 0
3 years ago
9. What's the least common multiple (LCM) of 2, 6, and 8?
algol [13]

Answer:

24

Step-by-step explanation:

The LCM or least common multiple of these numbers is 24

To get 24, you list all the multiple of these numbers until they all share at least one

So

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, <u>24</u>

6, 12, 18, <u>24</u>

8, 16, <u>24</u>

They all share 24 so this is the LCM

Hope this helps

-GoldenWolfX

3 0
3 years ago
Determine whether the following series converge or diverge
Mars2501 [29]
An alternating series \sum\limits_n(-1)^na_n converges if |(-1)^na_n|=|a_n| is monotonic and a_n\to0 as n\to\infty. Here a_n=\dfrac1{\ln(n+1)}.

Let f(x)=\ln(x+1). Then f'(x)=\dfrac1{x+1}, which is positive for all x>-1, so \ln(x+1) is monotonically increasing for x>-1. This would mean \dfrac1{\ln(x+1)} must be a monotonically decreasing sequence over the same interval, and so must a_n.

Because a_n is monotonically increasing, but will still always be positive, it follows that a_n\to0 as n\to\infty.

So, \sum\limits_n(-1)^na_n converges.
5 0
3 years ago
Find the radius if the endpoints of the diameter are (-6,5) and (2, 3).
Fiesta28 [93]

Answer:

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

Step-by-step explanation:

6 0
3 years ago
The supreme choice pizza at Pete's Pizza contains 2 different meats and 4 different vegetables. The customer can select any one
lara31 [8.8K]

Answer:

80 possible combinations

Step-by-step explanation:

each crust can have a choice of 2 different types of meat and 4 different types of vegetables

if crust1 has four different meat options and two types of meat on each pizza then there are six options possible for the meat on each crust. Now you have 8 veggies and each pizza can have 4 veggies. then there are 56 different veggie combinations.(4+6+56)= 80

6 0
3 years ago
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