Answers
Answer:
C.
Step-by-step explanation:
Given
[tex]A =(x_1,y_1)[/tex]
[tex]B =(x_2,y_2)[/tex]
[tex]C =(x_3,y_3)[/tex]
[tex]D =(x_4,y_4)[/tex]
Required:
Which condition proves that AB is perpendicular to CD
First, calculate the slopes of both.
For AB
[tex]m_1 = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
For CD
[tex]m_2 = \frac{y_4 -y_3}{x_4 - x_2}[/tex]
The condition of perpendicularity is:
[tex]m_1 * m_2 = -1[/tex]
Substitute values for m1 and m2
[tex]\frac{y_2 -y_1}{x_2 - x_1} * \frac{y_4 -y_3}{x_4 - x_2} = -1[/tex]
Option (c) is correct
Related Questions
Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.73 million households with a sample standard deviation of 0.46 million family units. Over the same 12 months Spotify was used by an average of 2.17 million families with a sample standard deviation of 0.33 million. Assume the population standard deviations are not the same. Using a significance level of 0.01, test the hypothesis of no difference in the mean number of households picking either service.
Answers
Answer:
There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Step-by-step explanation:
The parameters of the music streaming service are;
The average number of households using Apple Music, [tex]\overline {X}_1[/tex] = 1.73 million
The standard deviation, σ₁² = 0.46 million
The average number of households using Spotify, [tex]\overline {X}_2[/tex] = 2.17 million
The standard deviation, σ₂² = 0.33 million
The significance level = 0.01
Hypothesis testing with different population standard deviation
[tex]Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }[/tex]
H₀: [tex]\overline {X}_1[/tex] ≠ [tex]\overline {X}_2[/tex]
H₁: [tex]\overline {X}_1[/tex] = [tex]\overline {X}_2[/tex]
[tex]Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923[/tex]
p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714
Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis
We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
A regular computer screen has a area of A square inches. The width of the computer screen is 7 inches. Which equation represents x,length of the computer screen in inches.
Answers
Answer:
7 square inches hope this helps brainlest plzzz
Step-by-step explanation:
I am so smart lol lol lollololololololololollololololololollolololololollololo
Answers
Answer:
2. c. 1/2
3. d. 13/16
5. d. 5/12
1. b. simplified
4. b. Nicholas did not divide the numerator and..............
Answer:
i know it’s been months since you posted this question but...
Step-by-step explanation:
2. c) 1/2, 9/18 / 9 = 1/2
3. d) 13/16, 26/32 / 2 = 13/16
5. d) 5/12, 10/24 / 2 = 5/12
1. b) simplified, you can’t simplify 8/9, it’s already smaller.
4. b) Nicholas did not divide the numerator and denominator by the same number, the GCF [greatest common factor]. 4/5 is not equivalent to 20/30. He should have divided by 10. 20/30 = 2/3.
why does that say 20/24 tho?- i think it meant 20/30.
i hope this helped! also, a definition of gcf:
GCF - A set of numbers' greatest common factor (GCF) is the largest factor that all of the numbers share. Twelve, twenty, and twenty-four, for example, all have two common factors: two and four. The GCF of 12, 20, and 24 is 4 since the highest is 4. The GCF method is often used to identify common denominators.
what is the answer for number 1?
Answers
Answer:
28.26
Step-by-step explanation:
A = pie x radius*2
The radius is 3, and pie is 3.14. This means the equation is
A = 3.14 x 3*2
3*2 is just 3 x 3, which is 9.
9 x 3.14 = 28.26
Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change? explain in two sentence
Answers
Answer: After Nancy bought the sandwich, the cashier handed back $2.36
Step-by-step explanation:
Can somebody help me?
Answers
25X -5 =
10 + 70x=
6y + 14-8y=
Helppp I have 3 more Minutess:(
Answers
Answer:
X=-5
x=-7
Y=12
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answers
Y=7
Y=1/5X+9
Y=1/5 •(-10)+9
Y= -10/5 + 9
Y= -2+9
7=7
Y= -1/2 • (-10) +2
Y= 10/2 +2
Y=5+2
7=7
Yes
What is the percent of increase from 54 to 81?
Answers
Answer:
50• A change from 54 to 81 represents a positive change (increase) of 50%
Solve for [x]. The pair of polygons are similar.
The scale factor from A to B is 1:2
Answers
Answer:
13
Step-by-step explanation:
What is the volume of a cube with a side length of 3t5units?
Cube V = s3
Answers
Answer:
V=a3=33=27
Step-by-step explanation:
sorry if its wrong
% growth Growth factor
a 19% (1 + 0.19) = 1.19
b 3% ____________________
c 9.1% ____________________
d 41.3% ____________________
Answers
Answer:
growth factor for what?
Combine Like Terms 4a + 7a
Answers
There alike terms
Answer:
[tex]11a[/tex]
Step-by-step explanation:
[tex]4a + 7a = 11a[/tex]
Hope this helps you
Can I have the brainliest please?
31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and
made a total $5700. How many cars and vans did the business rent that day?
A 8 cars and 22 vans.
B 10 cars and 20 vans
C 20 cars and 10 vans
D 22 cars and 8 vans
Answers
Answer:
D. 22 Cars and 8 Vans
Step-by-step explanation:
1. You multiply 22 x 150 = 3,300.
2. Then you multiply 300 x 8 = 2,400.
3. Next, add 3,300 + 2,400
4. That equals 5700.
Hopefully, that helps!
A parallelogram has an area of 37.72 m² and a height of 4.6 m.
How long is the base of the parallelogram?
Enter your answer as a decimal in the box
Answers
Answer:
8.2m
Step-by-step explanation:
Formula : Area = base x height
rearrange : Base = area ÷ height
37.72÷4.6=8.2m
Answer:
8.2
Step-by-step explanation:
Matt started his own company where he rents used textbooks to struggling college students at multiple Universities for a low rate. Over the last few years Matt has been able to collect a total of 250 textbooks for his business at Temple University. Unfortunately, students can be irresponsible and lose their textbook rental causing a loss for Matt. Based on past information Matt has collected the data below for Temple University based on losses per semester. #
of losses per semester Probability
0 0.08
5 0.16
10 0.28
15 0.32
20 0.14
25 0.02
a. Calculate the expected frequency of losses per semester. (2 points)
b. Calculated the variance. (2 points)
Now assume that when losses do occur, they are non-random and losses equal $60.
c. Calculate the expected losses per semester? (2 points)
d. Calculate the expected losses for ALL textbooks per semester. (1 point)
e. Calculate the expected losses for ALL textbooks for the next 2 school years (4 semesters). (1 point)
Answers
Answer:
a. Expected frequency of losses per semester = 0*0.08 + 5*0.16 + 10*0.28 + 15*0.32 + 20*0.14 + 25*0.02
Expected frequency of losses per semester = 11.7 losses per semester
b. Variance = (0-11.7)²*0.08 + (5-11.7)²*016 + (10-11.7)²*0.28 + (15-11.7)²*0.32 + (20-11.7)²*0.14 + (15-11.7)²*0.02
Variance = 10.9512 + 7.1824 + 0.8092 + 3.7848 + 9.6446 + 3.5378
Variance = 35.61
c. As losses equal $60, expected losses per semester = 11.7*$60 = $702
d. Expected losses of all textbooks per semester = 250*11.7*$60 = $175,500
Mark was thinking of a number. Mark subtracts 6.2 from the number and gets an answer of 68. Form an equation with
x
from the information.
Answers
Answer:
X= 6.2 + 68 ???
Step-by-step explanation:
I'm not sure that's what I would write in an exam
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answers
Answer:
She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Step-by-step explanation:
Continuous compounding:
The amount of money earned, after t years, in continuous compounding, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.
This means that [tex]r = 0.057[/tex]
How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]7600 = A(0)(1+0.057)^7[/tex]
[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]
[tex]A(0) = 5156[/tex]
To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.
Answers
Answer:
Step-by-step explanation:
Pythagorean theorem,
Hypotenuse² = base² + altitude²
Substitute the known values and you can find the missing length
can someone help me please
Answers
Answer:
A' = (1, 2)
B' = (2, 3)
C' = (2, 4)
Step-by-step explanation:
Ok so you are given the scale factor of 1/3. You will basically multiply 1/3 to all of the values of point A, B, and C in order to find the values of point A', B', and C'.
A = (3, 6) ---> 3 × 1/3 = 1 and 6 × 1/3 = 2
A' = (1, 2)
B = (6, 9) ---> 6 × 1/3 = 2 and 9 × 1/3 = 3
B' = (2, 3)
C = (6, 12) ---> 6 × 1/3 = 2 and 12 × 1/3 = 4
C' = (2, 4)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
can u guys help me with y?
Answers
Answer:
Step-by-step explanation:
Given condition
y = x + 5
When x = - 1
y = - 1 + 5 = 4
when x = 0
y = 0 + 5 = 5
when x = 1
y = 1 + 5 =6
hope it helps :)
If the total cost is $30, use your expression to determine the cost per person.
Answers
Answer:
Well, how many people are there?
Step-by-step explanation:
We can't solve this without the number of people.
Which of the following situations result in an answer of 2/3? Select three that apply.
A: three dogs each drink 2 cups of water. How many cups of water does each dog drink in all?
B: Two apples split among 3 people. How much of an apple does each person recieve?
C: Two gallons of water needed to fill 3 fish tanks of an equal size. How many gallons of water are required for each tank?
D: Three cupcakes are divided among 2 children. How much of a cupcake would each children receive?
E: Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?
F: Three cats share 2 cans of tuna. How much of a can does each cat receive?
Answers
Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm
Answers
Answer:
200
Step-by-step explanation:
pi · radius · height
3.14 · 8 · 25 = 200
The sum of half of a number and 49 is 2 1/4 of the number. Find the number
Answers
Answer:
x = 28
Step-by-step explanation:
given, x/2 + 49 = 21/4
x/2 + 49 = 9x/4
2x +196 = 9x
7x = 196
x = 28
I hope this helps a little bit.
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
-6,144
-118,098
-3,072
-354,294
Answers
Answer:
3072
Step-by-step explanation:
double the number until the 11th time which would be -3072 so C
Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is the difference between the two pizza?
Answers
Answer:
one is 2 inches bigger that the other.
Step-by-step explanation:
becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .
Which object has the greatest inertia?
1 lb of butter
2 lb bag of sugar
5 lb bag of apples
10 lb bag of potatoes
Answers
Answer:
Its D
Step-by-step explanation:
I took the quiz and got 100
1 litre is equal to how many decalitre
Answers
Divide the volume value by 10
The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm
Answers
Answer:
[tex]Height = 2.5[/tex]
Step-by-step explanation:
Given
[tex]Volume = 35[/tex]
[tex]Length =7[/tex]
[tex]Base=4 cm[/tex]
Required
Determine the height
The volume is calculated as:
[tex]Volume = Height * Base\ Area[/tex]
Since, it has a triangular cross-section, the expression becomes:
[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]
So, we have:
[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]
[tex]35 = Height * 14[/tex]
[tex]Height = 35/14[/tex]
[tex]Height = 2.5[/tex]