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yulyashka [42]
2 years ago
9

Six lines are drawn in the coordinate plane below.

Mathematics
1 answer:
Simora [160]2 years ago
5 0

Answer:

PQ

SR

PR

Step-by-step explanation:

they are all going down while the others rise

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Luis solves the following system of equations by elimination.
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The value of s is 11
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Which expression is equivalent to r to the 9th over r to the 3rd
alisha [4.7K]

Answer:

r^{6}

Step-by-step explanation:

To make this a bit easier to see, we'll expand that expression.

R to the 9th is just r times itself 9 times. R to the third is r times itself 3 times.

(excuse my bad formatting)

<u>The expression:</u>

<u>r • r • r • r • r • r • r • r • r • 1</u>

             r • r • r • 1

Remember, anything and everything has a coefficient or denominator of 1.

So, we can cancel 3 r's from the numerator and denominator.

<u>r • r • r • r • r • r • 1</u>

             1

Simplify....

\frac{1r^{6}}{1}

That just equals r^{6}.

3 0
2 years ago
Find the 3rd term in (x-9)^7
Llana [10]

Answer:

The 3rd term would be the parenthesis to the 7th power.

8 0
2 years ago
A customer went to a garden shop and bought some potting soil for $12.50 and 5 shrubs. The total bill was $62.50. Write and solv
OverLord2011 [107]
62.50 - 10 - 10 - 10 - 10 - 10 (five times)= 12.50
4 0
3 years ago
Read 2 more answers
Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work​ together, it takes them 2 hours. How
aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood  = K hrs

So, the per hour rate of Dwight  = (\frac{1}{K})

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood  = (K- 3) hrs

So, the per hour rate of Joe  = (\frac{1}{K-3})

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them  = (\frac{1}{2})

⇒ Per hour rate of ( Dwight  + Joe)  =(\frac{1}{2} )

\implies (\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})

Now, solving for the value of K , we get:

(\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})\\\implies  \frac{(K-3) + K}{K (K-3)}  = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K  + 6=  0\\\implies K^2 - 6K - K  + 6=  0\\\implies K(K-6) -1(K - 6)=  0\\\implies (K-6)(K-1) = 0

Implies either K = 6 Or K = 1

But if K = 1, (K-3)  = 1- 3  = -2 hours would be A CONTRADICTION.

⇒ K  = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0
2 years ago
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