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lara [203]
3 years ago
8

Find the equation of the line that is perpendicular to the line

Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer:

y=-x+16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

<u>1) Determine the slope (m)</u>

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into y=mx+b:

y=-1x+b\\y=-x+b

<u />

<u>2) Determine the y-intercept (b)</u>

y=-x+b

Plug in the given point (7,9) and solve for b

9=-7+b

Add 7 to both sides to isolate b

9+7=-7+b+7\\16=b

Therefore, the y-intercept is 16. Plug this back into y=-x+b:

y=-x+16

I hope this helps!

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A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
Please help meeeee I don’t really understand it
vredina [299]
3*3+4*4=x*x and 9+16=25 so x is 5 and then add other sides so 5+8+4+5
7 0
3 years ago
PLEASE ANSWER RIGHT PLEASE
alukav5142 [94]

Answer:

61

Step-by-step explanation:

(x2-x1)2 + (y2-y1)2

(5-0)2 + (-3-3)2

25+36= 61

square root of 61

5 0
3 years ago
Which of the following statements about f(x) is true?
3241004551 [841]
The correct answer is b) the function has an inverse because if passes the horizontal line test.
6 0
3 years ago
Read 2 more answers
What is 485,783 rounded to its greatest place?​
natima [27]

Answer:

486

Step-by-step explanation:

if you mean 485.782 with a decimal then it would be 486

7 0
2 years ago
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