Two lines [tex]y_1,y_2[/tex] are perpendicular if their slopes are in a relation [tex]m_1=-\frac{1}{m_2}[/tex].
So we need to find slopes and if the above relation holds then we can claim the lines are perpendicular.
To find slopes, use slope formula
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
The first slope of a line passing through [tex]PQ[/tex] is
[tex]m_1=\frac{-13-(-9)}{6-2}=\frac{-4}{4}=-1[/tex]
The second slope of a line passing through [tex]RS[/tex] is
[tex]m_2=\frac{-1-(-5)}{5-1}=\frac{4}{4}=1[/tex]
Now check if [tex]m_1=-\frac{1}{m_2}[/tex] is true
[tex]-1=-\frac{1}{1}\implies -1=-1[/tex]
This means the two lines are perpendicular.
Hope this helps.
Math Question for 50 points please help
Answer:
BStep-by-step explanation:
Your answer is B.
⚠︎ I HOPE YOU ARE DOING WELL ☻︎
HAVE A FANTASTIC DAY ꨄ︎
Answer:
The answer is B
Step-by-step explanation:
Its different from all the others
a toy company is going to issue new ID codes to its employees.Each codes will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used. Assume that the digits can be repeated.. How many employee ID codes can be generated
Answer:
851,968
Step-by-step explanation:
26*8*8*8*8*8= 851,968
From the combination of codes, 851,968 employee ID codes can be generated.
Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Required number of codes = 26 * 8 * 8 * 8 * 8 * 8
= 851,968
Thus, from the combination of codes, 851,968 employee ID codes can be generated.
Learn more about permutations and combinations here: https://brainly.com/question/2295036
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WHAT IS 1/2 + 3/4 PLZ ANSWER REALLY REALLY URGENT!!!!!!!!!!!!!
Answer: it is 1.25
hope i helped
Answer:
1.25
Step-by-step explanation:
yeah
Solve the system of equations using elimination
Answer:
(1, 3).
Step-by-step explanation:
x + 2y = 7
3x - 2y = -3
Adding the 2 equations will eliminate y:
4x = 4
x = 4/4
x = 1
Plug x = 1 into the first equation:
1 + 2y = 7
2y = 6
y = 3.
To the nearest 10th, find the measure of the missing side.
Answer:
Climate change includes both global warming driven by human emissions of greenhouse gases, and the resulting large-scale shifts in weather patterns.
evaluate the expression 8 ÷ t when t= 4
If a guy named josh got 45 bucks for his b-day and already had 237 bucks. How much money does josh have all together.
Will give brainly!!!!!!
Answer:
That’s easy it is 282
Step-by-step explanation:
He will now have 282 bucks altogether.
Step-by-step explanation:
We already know that he has 237 bucks before his birthday, but now he has an additional 45 bucks that he got from his birthday. With this, you can create an equation that looks like this: 237+45. You then solve the equation by adding 45 to 237, which gets you 282 bucks altogether.
Question 16
If n = 6, what is the value of 9n – 4?
Α.
11
B.
50
С
52
D
54
Answer is Option B) 50
9(6)-4
54-4
50
is 2/6 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
good luck, i hope this helps :)
Help asaaaaaap guys
Answer:
-3.5,-3,-2 1/2,-2,2.5
Step-by-step explanation:
Least. Greatest
-3.5, -3, -2 1/2, -2, 2.5
A distribution is given as X ~ U(0, 12). Find P(x > 6). (Enter an exact number as an integer, fraction, or decimal.)
Answer:
Step-by-step explanation:
The value of P(x>6) is 1/5.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that A distribution is given as X ~ U(0, 12).
We need to find the value of P(x > 6)
The probability density function of the uniform distribution is defined as:
f(x)=1/b-a, a<x<b
a=0 and b=12
f(x)=1/12 , 0<x<12
The required probability is P(x>6)
Now P(x>6)= [tex]\int\limits^2_6 {f(x)} \, dx[/tex]
P(x>6)=(12/12-6/12)
=1-1/2
=1/2=0.5
Hence, the value of P(x>6) is 1/5.
To learn more on Statistics click:
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An expression for the perimeter of the shape is below
Step-by-step explanation:
rewrite the expression in redical form x⅔The probability of choosing a green sweet at random from the bag is 1/12.
Please see the picture, I need to answer that question.
Answer:
2 times became that's correct
Lori wants to buy the same number of pencils and pens for school this year. Pencils comes in packs of 16, and pens come in packs of 4. What is the least number of packs of each she could buy? 8103 4 packs of pencils and 1 pack of pens 1 pack of pencils and 4 packs of pens the 1 pack of pencils and 1 pack of pens 4 packs of pencils and 4 packs of pens SUBMIT
Answer:
pencils=16
pen= 4ijsjh
Bugz
hheh7twh556
US 3ju7hutwbh67s
Nigeria is a bad country my name
is Hanna and I am from the USA
I am from Arizona
juhusjyrs hfah its
3/4 + 3/5 how do you solve it
Answer:
3/4 + 3/5 = 1 7/20
Step-by-step explanation:
5 x 4 = 20
3/4 = 15/20
3/5 = 12/20
15/20 + 12/20 = 27/20 = 1 7/20
Answer: 1 7/20 (one and seven-twentieths)
Step-by-step explanation:
1) 3/4 = 15/20 and 3/5 = 12/20
2) 15/20 + 12/20 = 27/20
3) 27/20 = 1 7/20
Good Luck!
What are all of the factors for 12 and 30? If you answer thank you for helping, I really appreciate it.
Answer:
12
2,3,4,6
30
12,3,5,6,10,15
Which is the value of the rational expression 6-x/x+5 when x=2
Answer:
4/7
Step-by-step explanation:
6-x/x+5 let us take x=2
6-2/2+5=4/7
I NEED HELP ON THIS ASAP!! GIVING 75 POINTS TO WHOEVER CAN HELP ME WITH THIS!!!
Answer:
288pi
904.3
1648.5
33493.3
Step-by-step explanation:
1.
volume = 6^2 * 8 * pi = 288pi
= 904.32
2.
5^2*21*3.14 = 1648.5
3.
4/3 * 20^3 * 3.14 = 33493.3
Which image below shows the result of an image that has been rotated 180° by the origin O?
Answer:
) A (3, 5)
(ii) B (-2, 7)
(iii) C (-5, -8)
(iv) D (9, -4)
Solution:
When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.
(i) The new position of the point A (3, 5) will be A' (-3, -5)
Answer:
i don't see what are you talking about . honestly
Select the correct answer. What is the value of x in 2 (5x) = 14
Answer:
x= 7/5
Step-by-step explanation:
Use Cymath.com for math because it shows its work, and so you don't have to waste points! ^^
Answer:
x = 1.4
Step-by-step explanation:
2 (5x) = 14
10x = 14
x = 14 ÷ 10
x = 1.4
Checking...
10 (1.4) = 14
14 = 14
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=68°, and MK = 42 feet. Find the length of LM to the nearest tenth of a foot.
Answer:
x=103.9536≈104 feet
Step-by-step explanation:
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.
Answer:
a chance that it will not need to be replaced
Step-by-step explanation:
Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93
Answer:
Step-by-step explanation:
Describe ways you can determine something is either linear or exponential. Be specific PLZ
also plz hurry i need help quick
The random variable X has the following probability density function: fX(x) = ( xe−x , if x > 0 0, otherwise. (a) Find the moment generating function of X. (b) Using the moment generating function of X, find E[Xn] for all positive integers n. Your final answer should be an expression that depends only on n.
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given value:
[tex]\to f_X (x) \ \ xe^{-x} \ , \ x>0[/tex]
For point a:
Moment generating function of X=?
Using formula:
[tex]\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx[/tex]
[tex]M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx[/tex]
integrating the values by parts:
[tex]u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\[/tex]
[tex]= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\[/tex]
Therefore, the moment value generating by the function is [tex]=\frac{1}{(t-1)^2}[/tex]
In point b:
[tex]E(X^n)=?[/tex]
Using formula: [tex]E(X^n)= M^{n}_{X}(0)[/tex]
form point (a):
[tex]\to M_{X}(t)=\frac{1}{(t-1)^2}[/tex]
Differentiating the value with respect of t
[tex]M'_{X}(t)=\frac{-2}{(t-1)^3}[/tex]
when [tex]t=0[/tex]
[tex]M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\[/tex]
[tex]M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\[/tex]
pls solve this i cannot do it find x y z in the above
Answer:
x = 115
z= 40
y = 140
Step-by-step explanation:
x = 180 - (40 +25) = 115
z = 180 - (115+25) = 40
y = 180 - (40) = 140
Answer:
This is your answer!!!
Step-by-step explanation:
I attached a pic.
Hope it helps!!!
what is the answer for the for this equasion
x=5x6
Answer:
x=30 should be the answer
Answer:
x=30
Step-by-step explanation:
x=5×6
Multiply 5 and 6 to get 30.
x=30
need help answering this question
Write equivalent fractions for 3/7 and 1/3 using 21 as a common denominator
Answer:
Step-by-step explanation:
[tex]\frac{3}{7}=\frac{3*3}{7*3}=\frac{9}{21}\\\\\frac{1}{3}=\frac{1*7}{3*7}=\frac{7}{21}[/tex]
2. What is an interest that is computed on the
principal and then added to it?
A. Simple Interest
B. Compound Interest
C. Interest
D. Principal
Answer:
Step-by-step explanation: