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hjlf
3 years ago
9

Point P is the center of two concentric circles. PQ= 10.5 and PS= 20.9. RS is tangent to the smaller circle and a chord of the l

arger circle. What is length of RS to the nearest tenth?
Mathematics
1 answer:
tangare [24]3 years ago
5 0
36.1419423938
Good luck on your packet I just did this on mine
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Answer for the square root(5x-9)+1=x
Evgen [1.6K]

\bf \sqrt{5x-9}+1=x\implies \sqrt{5x-9}=x-1\implies 5x-9 = (x-1)^2 \\\\\\ 5x-9=\stackrel{\mathbb{FOIL}}{x^2-2x+1}\implies 5x=x^2-2x+10\implies 0=x^2-7x+10 \\\\\\ 0=(x-5)(x-2)\implies x= \begin{cases} 5\\ 2 \end{cases}

8 0
3 years ago
2a - 3b = -11<br> a + 3b = 8
dlinn [17]

Answer:

b = 3 and a = -1

Step-by-step explanation:

You have your given equation:

2a - 3b = -11

a + 3b = 8

You need to find what a and b is.

To find b:

2a - 3b = -11

-2a - 6b = -16

I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.

So now your equation would look like this when you solve for b:

2a - 3b = -11

-2a - 6b = -16

-------------------

a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.

To find a:

2a - 3b = -11

a + 3b = 8

I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.

Your equation will look like this when you solve for a:

-2a + 3b = 11

-1a - 3b = -8

------------------

-3a = 3 then divide -3 to 3 which is -1 so a = -1.

Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.

1. 2(-1) -3(3) = -11

 -2 - 9 = -11

2. -1 + 3(3) = 8

   -1 + 9 = 8

8 0
3 years ago
Write an equation of the line that passes through the point (3,2) and is
gulaghasi [49]

Answer:

y = 3x - 7

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

4 0
3 years ago
Pls Help!
mr Goodwill [35]

Answer:

34 Braids

Step-by-step explanation:

.85 per braid means 1 is 85 cents, 2 is $1.70 and so on.  So normally you would just divide the total amount of money, so for instance if you had $2.55 you would be able to afford 3 braids, since 3 braids cost $2.55.  in fact $2.56, $2.57 aaaaaaaaaaall the way up to $3.39 would be 3 braids, then $3.40 would be 4 braids.

Here though you first pay 3 dollars.  so you need 3 first, then an extra 85 cents to get 1 braid.  2 braids is 3 dollars plus 1.70, 3 braids is 3 + 2.55 4 braids is 3 + 3.40 and so on.

So what you want to do is first take away that 3 dollars you need before the braids, then divide by .85.  for instance $6.40 would get you 4 braids as I showed bcause 3 + 3.40 = 6.40.  now 6.40 - 3 = 3.40 then 3.40 divided by .85 = 4

The problem says we start with$32, so lets do those steps.  first 32 - 3 = 29.  then 29 divided by .85 = 34.11.  well it's not  whole number so lets try something.  34 braids would be 3 + .85*34 = 31.90 and 35 braids would be 32.75  So 31.90, 31.91 aaaaaaaaall the way up to 32.74 would be 34 braids then 32.75 would be 35 braids.  well, $32 is in that in between space, so it is 34 braids.

When I did 32 - 3 = 29.  then 29 divided by .85 = 34.11 that 34.11 does actually tell us we wouldn't get to 35, I just wanted to make it very clear.  so the answer is 34 braids.

7 0
3 years ago
Suppose you are making a model where one block represents 5 feet. About how many blocks tall is your model of the Empire State B
Ymorist [56]
Answer:
250 blocks

Scale factor:

Explanation:
1,250/5=250
3 0
3 years ago
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