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anzhelika [568]
3 years ago
9

What is (2,7) rotated 90% clockwise

Mathematics
1 answer:
ohaa [14]3 years ago
5 0

Answer:

The required point is, (7, -2)

Step-by-step explanation:

The straight  line passing through (0,0) and (2,7) is,

y = (\frac {7 -0}{2-0}) \times x

⇒ y = 3.5x --------------(1)

Now, the straight line perpendicular to this line and passing through (0, 0) is

y = (\frac {-1}{3.5}) \times x

⇒ 7y + 2x = 0 -------------(2)

Let, (h,k) be the required point.

then, it is on the line 7y + 2x = 0

⇒7k + 2h = 0

⇒k = (\frac {-2}{7}) \times h ------------(3)

Again, distance from (0,0) of (h, k) is same as that of (2,7)

⇒ h^{2} + k^{2} = 4 + 49 = 53

⇒h^{2} \times (\frac {53}{49}) = 53 [putting the value of k from (3)]

⇒h^{2} = 49

⇒h = 7 [since, (h,k) is in 4th quadrant, so,h >0]

So, k = -2 [putting the value of h in (3)]

So, the required point is, (7, -2)

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Step-by-step explanation:

Simply do 9(number of containers)*6(Syrup per container) to get 54 mL of syrup.

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3 years ago
Simplify this expression <br> 7z+5+6z-9
Simora [160]

Answer:

7z + 5 + 6z - 9  (Add 7z and 6z, subtract 9 from 5)

<em>13z - 4  </em>(Can't be simplified further)

8 0
2 years ago
You have 100 quarters in a jar. One of the quarters is double sided (heads). You pick out a random quarter and flip it 7 times,
zysi [14]

Answer:

Probability of having the double sided coin is 1 %

Probability of getting heads on the next flip is 50%

Step-by-step explanation:

Based on the information given to us in the question we have a total of 100 coins in the bag and only 1 is double heads. Therefore the probability of you picking the double sided coin is \frac{1}{100} or 1 % . This probability is not affected by the fact that the coin you chose got heads 7 times in 7 flips.

Since a coin has 2 sides and you do not know whether the coin you have is the double sided coin then you have to assume that it is a normal 2 sided coin. Therefore a normal 2 sided coin has a probability of \frac{1}{2} or 50% with every flip of getting heads.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

8 0
3 years ago
Write the sentence as an absolute value inequality, then solve the inequality: A number “n” is more than 9 units from 3
Helga [31]

Answer:

absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12

Step-by-step explanation:

I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)

So an absolute value inequality must be written like this:  

| x - a | *inequality* b

a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.  

Now, you will have this:

|x - 3| *inequality* 9

Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).

So now we're at:

|x - 3| > 9

To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:

x<-6 and x>12

Hope this is helpful!

6 0
3 years ago
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