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fgiga [73]
3 years ago
7

Passes through (12,3) and (9,5)

Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0

Answer:

The answer to your should be -2/3

Step-by-step explanation:

y2-y1

x2-x1

bagirrra123 [75]3 years ago
3 0

Answer:

m = -2/3

Step-by-step explanation:

We can find slope using the two given points (m represents slope)

(x1, y1) = (12,3)

(x2, y2) = (9,5)

m = (y2-y1)/(x2-x1)  

m = (5 - 3)/(9 - 12)

m = 2/-3

The slope of the line that passes through the two given points is -2/3.

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Find the 9th term of the geometric sequence 6,-24,96... <br><br>​
spin [16.1K]

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

 

5 0
3 years ago
Analysis of visitor behavior has shown that fans are equally likely to leave the stadium through any of the 5 marked stadium exi
djverab [1.8K]

Answer:

0.40

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

Exit A or exit B, so 2 desired outcomes.

This means that D = 2

Total outcomes:

Any of the 5 exits, so T = 5

Probability:

p = \frac{2}{5} = 0.4

7 0
3 years ago
How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
So, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

\bf \begin{array}{lccclll}&#10;&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\&#10;&------&------&------\\&#10;\textit{pure acid}&x&1.00&x\\&#10;\textit{20\% sol'n}&6&0.20&1.2\\&#10;------&------&------&------\\\&#10;mixture&y&0.90&0.9y&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;x+6=\boxed{y}\\&#10;x+1.2=0.9y\\&#10;----------\\&#10;x+1.2=0.9\left( \boxed{x+6} \right)&#10;\end{cases}&#10;\\\\\\&#10;x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2&#10;\\\\\\&#10;x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
3 0
3 years ago
Are the ratios 6:18 and 2:6 equivalent?
Ksju [112]
Yes because 6/18=1/3 and 2/6=1/3. Then 6/18=2/6
7 0
3 years ago
Read 2 more answers
If p is a true statement and q is false, what is the truth value of p ∨ q?
ZanzabumX [31]
P V q = T V F = T

so, pVq is true.
7 0
3 years ago
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