Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)
Answers
Here we would be using distance formula to calculate the distance between those two points.
Points are,
(-8,3) (-2,5)★ Distance Formula :
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]We have :
x1 = -8 x2 = -2 y1 = 3 y2 = -5Substituting the values in the formula :
Refer the attachment.
The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.
What is the distance between the pair of points?The distance formula can be expressed as:
[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]
Given the coordinates of the pair of points:
Point 1( -8,3 )
x₁ = -8
y₁ = 3
Point 2( -2,-5 )
x₂ = -2
y₂ = -5
Plug the coordinates into the distance formula and simplify.
[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]
Therefore, the distance is √100 units.
Learn more about the distance formula here: brainly.com/question/24509115
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Related Questions
A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V(r) = 8πr2 + πr3, where r is the radius in feet. For what value of r does the tent have a volume of 311 ft3?
Answers
Answer:
Check this explaination below
Step-by-step explanation:
Check the attached picture
The graph shows two lines, A and
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)
Answers
Answer:
there muse be at least 2 solution because we need it to draw lines at exact direction
Answer:
1 solution
Step-by-step explanation:
A solution to a system of lines in a graph is their intersection point. On the graph shown, there is only 1 point at which the lines intersect, therefore, 1 solution.
Find f(x) and g(x) such that h(x) = (fog)(x). Let g(x) = 7x + 2.
h(x) =6/square root of (7x+2)
Answers
Answer:
f(x) = 6√7
Step-by-step explanation:
f{g(x)}=h(x)
f(7x+2)=6√7x+2
let y = 7x+2
x= (y-2)/7
f(x)= 6 √7(y-2)/7+2
Thus, f(x) =6√7
Find SU, TU, and ST.
Answers
Answer:
SU=6
TU=6
ST=12
Step-by-step explanation:
SU and TU are equal because their hypotenuses are equal (10).
With this knowledge, you know that 2x+2=3x.
Subtracting 2x from both sides shows that x=2, so you can substitute that into the original line segment values in order to get 6 for both SU and TU. Double this to find the value of ST (12).
Help!!! Which of the following situations dose not have the same unit rate as the graph shown
Answers
Answer:
the answer is F
Step-by-step explanation:
one of the point is 2,10 and the costant would be 5 so g would be 30/6 which is 5 h would be 45/9 which is 5 and j would be 10/2 which is 5 so f is the correct answer because it foesnt have the same unit ratr
After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this test?
Find the chi-square table here.
χ2 = 7.77, P-value is between 0.02 and 0.025
χ2 = 7.77, P-value is between 0.05 and 0.10
χ2 = 8.54, P-value is between 0.01 and 0.02
χ2 = 8.54, P-value is between 0.025 and 0.05
Answers
The value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
How to depict the hypothesis?It should be noted that hypothesis testing is done in order to get more information about a particular issue.
In this case, the value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
This illustrates that there's convincing evidence that the distribution of common opinion is note equally distributed across the three options.
Learn more about hypothesis on:
https://brainly.com/question/15980493
Find the inner diameter of the washer.
Answers
The inner diameter of the washer is 7/10 inch, this value is gotten by multiplying the path by 2 and subtracting the result from the outer diameter
Mensuration of ShapesGiven Data
Outer Diameter = 1 inchPath Distance = 3/20 inchThe inner diameter
= Outer Diameter - 2*Path Distance
= 1 - 2*3/20
= 1- 6/20
= 1- 3/10
= 1/1 - 3/10
Find the LCM we have 10
= 10-3/10
= 7/10 inch
Learn more about shapes here:
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Find the probability of the following event
You roll a prime number
Answers
Answer:
4/6
Step-by-step explanation:
A die can roll out six numbers from 1 to 6.
Prime numbers from 1 to 6 are: 1,2,3,5
4 out of 6 are prime
Find the volume it’s homework I need help with
Answers
PLEASE HELP WILL MARK BRAINLIEST!!
Answers
80, 85 ,53 , 68 , 99, 87 73, 88, 75, 76, 78, 79, 91 , 95 compute mean of the data
Answers
Answer:
80.5
Step-by-step explanation:
80 + 85 + 53 + 68 + 99 + 87 + 73 + 88 + 75 + 76 + 78 + 79 + 91 + 95 = 1,127
mean = total sum / numbers of numbers
mean = 1,127 / 14
= 80.5
There are 1,000 millimeters in 1 meter. How many millimeters are in
118 meters? Circle the letter of the correct answer.
A 0.0118 millimeter
B. 0.118 millimeter
C118,000 millimeters
D 1,780.000 millimeters
Emily chose B as the correct answer. How did she get that answer?
Answers
Emily must have thought that she needed to divide 1000 by 118 which would have given her 0.118 millimeters. But her answer is wrong because you need to multiply 1,000 millimeters by 118 meters to find how many millimeters are in 118. the correct answer would have been C: 118,000 millimeters
Joshua spends 25 minutes of each day reading. He reads d days a week. Let m represent the number total minutes of reading a week. Write an equation to represent the situation. help I didn't study for math class and I have a test
Answers
Answer:
25 x D = Y
Step-by-step explanation:
Example: Say he reads for three days a week.
25 x 3 = 75
or 6 days
25 x 6 = 150
or 4
25 x 4 = 100
A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0506 Do these sample results provide strong evidence against that belief?
Construct a 95% confidence interval estimate of the proportion of boys in all births.
Answers
Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:
[tex]n = 864, \pi = \frac{426}{864} = 0.493[/tex]
Then, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526[/tex]
The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Fill in the blanks to complete the equation that describes the diagram.
Answers
Answer:
-3+-3=-6
Step-by-step explanation:
start from the right go to the left.
+- = a negative gain
Betty earned $35000 in the base year of 1992. In 2004, the consumer price index stood at 124.6. Today Betty earns $55000. Find the value of her current salary of $55000 in terms of 1992 dollars.
Answers
The value of Betty's earnings of $55,000 in 1992 dolars is $44,141.25.
What is the value of earnings in 1992 dollars?The consumer price index measures the changes in price of a basket of good.
CPI = (cost of basket of goods in current period / cost of basket of goods in base period) x 100
Value of the current earnings in 1992 dollars = $55,000 / 1.246 = $44,141.25
To learn more about, consumer price index, please check: https://brainly.com/question/26382640
Equivalent ratio for 3:7 is
Answers
3 : 7
to find:equivalent ratios for 3 : 7.
solution:6 : 14
9 : 21
12 : 28
15 : 35
18 : 42
( to find equivalent ratios just multiply or divide both the sides by the same number. )
Answer:
The answer is 6:14, 9:21, 12:28, 15: 35, and 18:42Step-by-step explanation:
What you need to do is take the ratio and you can turn it into a fraction!so take 3:7 and turn it into 3/7now from there you just need to multiply the numerator and the denominator by the same number and it will always equal the ratio of 3:7EXAMPLE-- 3/7 and multiply the numerator and denominator by 5 to get 15:35 THIS IS TRUE
id
11. A chessboard has diagonals of length
40 cm. What is the length of each side of the
board, to the nearest tenth of a centimetre?
Explain your reasoning.
Answers
Answer:
√800 = 28 cm
Step-by-step explanation:
Your c value is 40cm beacause c=length of the hypotenuse, or in this case the diagonal of the chess board.
You now have 2a2=402.
Start solving it:
2a2=402
2a2=1600
(2a2)/2=1600/2
a2=800
√(a2)=√800
a=√800 cm
You can plug this back in to check your answer, and also be sure that a=b is true.
a2+b2=c2
(√800)2+(√800)2=c2
800+800=c2
1600=c2
√1600=√c²
40=c
Examine the following wavelength.
2 functions on a coordinate plane. One has 7 wavelengths and the other has 3.5 wavelengths.
What is the ratio of the wavelengths of these two notes?
a.
5 to 4
b.
3 to 2
c.
6 to 5
d.
2 to 1
Please select the best answer from the choices provided
Answers
Answer:
d. 2 to 1
Step-by-step explanation:
The ratio of wavelengths will be inversely proportional to the number of them that are found in any given distance.
__
If the same distance shows 3.5 wavelenths of one function and 7 wavelengths of another, the ratio of wavelengths is ...
7 : 3.5 = 2 : 1
The population of a city increases by 0.7% per year. If this year's population is
390,000, what will next year's population be, to the nearest individual?
Answers
Answer:
392,730
Step-by-step explanation:
This increase will be over one year which will just be a 0.7% increase
to 390,000
0.7% of 390,000 is 2730
(0.007 * 390,000 = 2730)
390,000 + 2730 = 392,730
Or more simply we can add the increase in percentage to 1 for our multiplier
390,000 * 1.007 = 392,730
(WORTH 100 POINTS I WILL GIVE BRAINLY)
Answers
Answer:
To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.
Answer:
To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.
Step-by-step explanation:
Need help DONT understand can someone answer
Answers
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?
Answers
Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at https://brainly.com/question/24663213
solve for x ~
[tex]46x - 23x = 2[/tex]
thankyou ~
Answers
Answer: x = 2/23
Step-by-step explanation:
[tex]46x-23x=2[/tex]
[tex]\mathrm{Add\:like\:terms:}\:46x-23x=23x[/tex]
[tex]23x=2[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}23[/tex]
[tex]\frac{23x}{23}=\frac{2}{23}[/tex]
[tex]$$Simplify[/tex]
[tex]\bold{x=\frac{2}{23}}[/tex]
Answer:
x = 2/23Step-by-step explanation:
Inthis question we are given with one equation that is 46x - 23x = 2 and we have asked to find the value of x or solve for x .
So , from here we are solving :
[tex] \longmapsto \: 46x - 23x = 2[/tex]
Step 1 : Taking 23x common at left hand side :
[tex] \longmapsto \: 23x(2 - 1) = 2[/tex]
Step 2 : Subtracting 1 with 2 :
[tex] \longmapsto \:23x = 2[/tex]
Step 3 : Transposing 23 to right hand side :
[tex] \longmapsto \: \red{ \boxed{x = \frac{2}{23} }}[/tex]
Therefore, value of x is 2/23Verifying the answer :
We are verifying our answer by substituting the value of x in the given equation .
[tex] \longmapsto \: 46(\frac{2}{23}) - 23( \frac{2}{23} ) = 2[/tex]
Now , calculating :
[tex] \longmapsto \: \cancel{46}(\frac{2}{ \cancel{23}}) - \cancel{23}( \frac{2}{ \cancel{23}} ) = 2[/tex]
[tex] \longmapsto \: 4 - 2 = 2[/tex]
[tex] \longmapsto \: 2 = 2[/tex]
[tex] \longmapsto \: L.H.S = R.H.S[/tex]
[tex] \longmapsto \: Hence, \: Verified . \: [/tex]
Therefore , our value for x is correct .#Keep Learning what is 1 1/2 multiply 12
Answers
Answer:
66
Step-by-step explanation:
hello :
1 1/2 multiply 12 means : (11×12/2)= (11×6×2)/2 =66
Find the surface area of the prism. Write your answer as a fraction or mixed number
2/3ft
2/3ft
2/3ft
Answers
At lunch a waiter had seven customers and two of them didn’t leave a tip.If he got seven each from the ones who did tip how much money did he earn?
Answers
Answer:
$35
Step-by-step explanation:
7 customers - 2 who didn't tip = 5 who did tip
$7 from those who did tip * 5 ppl who tipped = $35 earned
You want to buy a new computer that costs $2250. You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account (s). How much money do you have in your savings account?
Answers
Answer:
$2,125
Step-by-step explanation:
Subtract: 2250-125=2125
Hope this helps! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.
Part A
Question
How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.
Answers
Using the arrangements formula, it is found that 6 different orders of top-three finishers are possible.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, the possible orders are arrangements of 3 elements, hence, the number of orders is given by:
[tex]A_3 = 3! = 6[/tex]
More can be learned about the arrangements formula at https://brainly.com/question/25925367
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The flower shop makes bouquets with ten flowers in each bouquet.
The florist said she can't make any bouquets because she has 207 flowers and there is a 0 in the tens place of 207!
Do you agree or disagree with the florist? Explain why in a full sentence below.
Answers
Hope this helps and please mark brainliest!
