Use the distance formula to find the distance between each pair of points round to the nearest 10th if necessary
Answers
Given:
The pairs of points are:
a. A(-6,-4), B(-3,-1)
b. C(3.5,1), D(-4,2.5)
c. X(5,-5), Y(-5,5)
To find:
The distance between the pair of points by using the distance formula.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
a.
Using the distance formula, the distance between the points A(-6,-4) and B(-3,-1) is:
[tex]AB=\sqrt{(-3-(-6))^2+((-1-(-4))^2}[/tex]
[tex]AB=\sqrt{(3)^2+(3)^2}[/tex]
[tex]AB=\sqrt{2(3)^2}[/tex]
[tex]AB=3\sqrt{2}[/tex]
[tex]AB\approx 4.2[/tex]
Therefore, the distance between the points A(-6,-4) and B(-3,-1) is about 4.2 units.
b.
Using the distance formula, the distance between the points C(3.5,1) and D(-4,2.5) is:
[tex]CD=\sqrt{(-4-3.5)^2+(2.5-1)^2}[/tex]
[tex]CD=\sqrt{(-7.5)^2+(1.5)^2}[/tex]
[tex]CD=\sqrt{56.25+2.25 }[/tex]
[tex]CD=\sqrt{58.5 }[/tex]
[tex]CD\approx 7.6[/tex]
Therefore, the distance between the points C(3.5,1) and D(-4,2.5) is about 7.6 units.
c.
Using the distance formula, the distance between the points X(5,-5) and Y(-5,5) is:
[tex]XY=\sqrt{(-5-5)^2+(5-(-5))^2}[/tex]
[tex]XY=\sqrt{(-10)^2+(10)^2}[/tex]
[tex]XY=\sqrt{100+100}[/tex]
[tex]XY=\sqrt{200}[/tex]
[tex]XY\approx 14.1[/tex]
Therefore, the distance between the points X(5,-5) and Y(-5,5) is about 14.1 units.
Related Questions
F(x)=x^2. What is g(x)?
Answers
Grace and her brother need $400 to go to band camp. Their parents have agreed to help them earn money by paying them $25 each time they mow the lawn and $10 for each hour they babysit their younger brother. They will have to do a combination of both chores to earn the money.
Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
M. 10m+ 25b= 400
P. 10m− 25b= 400
R. 25m+ 10b= 400
S. 25m− 10b= 400
Answers
Answer:
25m + 10b = 400
Step-by-step explanation:
Total amount that can be earned = $ 400
Amount earned on mowing a lawn = $ 25
Amount earned per hour on babysitting = $10
Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m
Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b
Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours
Using the values from above, we can set up the equation as:
400 = 25m + 10b
Aaron drank 15 oz of juice. This was 30% of the bottle. How many ounces of juice were in the
bottle originally.
Answers
Answer:
50 oz because 15 is 30 percent of 50
Step-by-step explanation:
Answer:
there was 50oz of juice originally
Step-by-step explanation:
What is the probability that someone in your class wants the New England Patriots to win
Answers
Answer:
Step-by-step explanation:
It all depends on how many people are in your class.
To calculate probability
Determine a single event with a single outcome.
Identify the total number of outcomes that can occur.
Divide the number of events by the number of possible outcomes.
To determine the probability, Use the formula
What is the formula of probability?
P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.
P(A | B) = P(A∩B) / P(B)
Math help please I promise to give brainliest
Answers
Answer:
y = 0.5
x = 4 - y (0.5)
3.5 = 4 - 0.5
------------
3x - 10 = y
3(3.5) - 10 = y
10.5 - 10 = y
0.5 = y
Answer: 0.5
Step-by-step explanation:
someone please help me
Answers
(22 + 15.50 + 2.75) 15
(22 * 15) + (15.50 * 15) + (2.75 * 15)
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HELP I NEED HELP ASAP
Answers
Answer:
A
Step-by-step explanation:
Remove the brackets using the distributive law for the following: -7(2x - 5y)
Answers
Fund the value of a4
Answers
Answer:
Step-by-step explanation:
A4 means the 4th number so it would be 17.
-3x + 5 ¾ + 12x - 2.25
if you answer this it is worth 100 points
Answers
Answer: 9 x + 7 /2
Step-by-step explanation:
Answer:
8 + 9x
Step-by-step explanation:
This is an algebraic expression. Our job here is to simplify it by combining like terms: combine the x terms and then combine the constants:
-3x + 5 ¾ + 12x - 2.25, after combining the x terms, is
5 ¾ + 9x - 2.25
Next, combine the constants. It's easier to convert -2.25 to -2 1/4 and then
add this 2 1/4 to 5 3/4:
8 + 9x
What is the volume of the sphere in terms on pie?
(Answer only with correct answers no links)
Answers
Answer:
The answer is A.
Step-by-step explanation:
Formula = 4/3pir^3
Diameter = 3
Radius = 3/2 = 1.5
Using the formula
1.5^3 = 3.375
3.375 * 4/3 = 4.5
Volume = 4.5 pi yd^3
what is equivalent to 5/4?
Answers
Answer:
10/8 15/12 20/16, 25/20, 30/24, 35/28, 40/32, 45/36, 50/40, 55/44, 60/48, 65/52, 70/56, 75/60, 80/64, 85/68, 90/72, 95/76, 100/80
There are probably hundreds of fractions that are equivalent to 5/4 but i am going to list 3-
1. 10/8
2. 15/12
3. 20/16
Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work part time and 80 employees who work 5 days each week. What is the probability that a randomly selected employee works both part time and 5 days each week?
Answers
Answer: 0.02
Step-by-step explanation:
OpenStudy (judygreeneyes):
Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is
P(A U B) = P(A) +P(B) - P(A and B).
The problem has given us each of these pieces except the intersection, so we can solve for it,
If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.
I hope this helps you.
Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8
Answer:
The probability that a randomly selected employee works both part time and 5 days each week is 0.02
Step-by-step explanation:
What is probability?
Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.
The total employees =100
Let A= Employees who work part time = 14
and B = Employees who work 5 days each week = 80
Then, A∪B= 92
We have to find, P(A∩B)
P(A∪B)=P(A)+P(B)-P(A∩B)
[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)
0.92=0.14+0.8-P(A∩B)
0.92=0.94-P(A∩B)
P(A∩B)=0.02
Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.
To know more about probability here
https://brainly.com/question/23044118
# SPJ2
HELP ANWSER ASAP PLEASE
Answers
Answer:
[tex] \boxed{x = 45°} [/tex]
Step-by-step explanation:
When two chords intersect at a point in a circle, they form arcs, along with angles at the intersection point.
To determine the angle of the arc, we must apply this geometric rule:
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex].
Since we are looking for one of the arcs, we can rearrange this formula to solve for the first arc.
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex] →
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(\overset{\frown}{BA} + \overset{\frown}{CD}) [/tex] →
[tex] 2 × Angle \: formed \: by \: chords = \overset{\frown}{BA} + \overset{\frown}{CD} [/tex] →
[tex] 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} = \overset{\frown}{BA} [/tex]
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
[Given]
[tex] \overset{\frown}{BA} = x° [/tex]
[tex] \overset{\frown}{CD} = 99° [/tex]
[tex] Angle \: formed \: by \: chords \: = 72° [/tex]
→
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
→
[tex] x° = 2 × 72° \: – \: 99° [/tex]
[tex] x° = (2 × 72°) \: – \: 99° [/tex]
[tex] x° = 144° \: – \: 99° [/tex]
[tex] \boxed{x° = 45°} [/tex]
What is the equation of the line?
Answers
Answer: x = -9
Step-by-step explanation:
When you look at the line, you can see it's plotted on the x-axis. From there you know the solution will be equal to x. Since the line passes right through the number -9 on the x-axis line, the answer would be x = -9. The line is straight which means it has no y intercept which is why x is only equal to -9.
Need help plz i will give brainlyist no scammer i will report and i only have 5 min
Answers
Julius bought F boxes of 24 plastic forks. He already had 39 plastic forks. Now, he has 135 plastic forks. How many boxes of plastic forks did Julius buy in all?
What is the best eqation?
A.
f - 24 × 39 = 135
B.
f + 24 × 39 = 135
C.
f × 24 - 39 = 135
D.
f × 24 + 39 = 135
Answers
Answer:
D
Step-by-step explanation:
boxes are the f. the amount in each is 24. theses will be mulitplied. then you want to add what he already had. that's the +39
serious answers only<3 i really need to get this done before i get grounded and i used to be good at math but during quarantine all of my skill just went away
Answers
Answer:
-3 1/2
Step-by-step explanation:
-4.5 + 1 = -3.5
In the school election, Tammy received 3 out of every 8 votes. What percent of the votes was this? Round to the nearest WHOLE number.
? %
Answers
Answer:
38%
Step-by-step explanation:
If you convert the fraction to a decimal (0.375), and then multiply it by 100, you should get 37.5, which is the exact percentage.
37.5%
↓
38.0%
Your answer should be 38%.
[NOTE: 5 always rounds up]
JEEZUS PLEASE HELP ME PEOPLE KEEP TROLLING ME AND NONE OF MY ANSWERS HAVE BEEN CORECTLY ANSWERED, I WILL GIVE MONEY FOR FLIPS SAKE IF YOU HELP!!!!
Answers
Answer:
14. 6 x [tex]10^{17}[/tex]
15. 28.615 x [tex]10^{10}[/tex]
16. I'm so sorry, I'm not sure!
17. 1.26 x [tex]10^{10}[/tex]
18. 1.639 x [tex]10^{-8}[/tex]
19. 2.025 x [tex]10^{17}[/tex]
Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!
-Aphrodite
Step-by-step explanation:
Pls help me i need help iwiill give you points
Answers
Answer:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area
Step-by-step explanation:
Can someone solve these rational expressions showing work thanks
Answers
Answer:
[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}=\frac{1}{2+x}[/tex]
Step-by-step explanation:
[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}[/tex]
[tex]\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{x-5+2}{\left(x-3\right)\left(x+2\right)}[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-5+2=-3[/tex]
[tex]=\frac{x-3}{\left(x-3\right)\left(x+2\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x-3[/tex]
[tex]=\frac{1}{2+x}[/tex]
Fred borrows $2710 at 3.8% simple interest per month. When Fred pays the loan back 3 months later, what is the total amount that Fred ends up repaying?
Answers
How many miles did a plane travel if it flew
455 mph in three hours
Answers
Answer:
1,365 miles
Step-by-step explanation:
455 mph times 3 hours equals to 1,365.
Solve for x:
3x^5= 81
Answers
Answer:
The answer is x = 5 square root of 27
Step-by-step explanation:
3x^5 = 81
3x^5 / 3 = 81 / 3
x^5 = 27
So the answer is x = 5 square root of 27
In a sale, the price of a sofa is reduced by 70%. The sale price is £255 What is the price before the sale?
Answers
So what we need to do is divide 255 by 30 to get one percent
255/30=8.5
So 8.5 is one percent of the original price or one hundredth. So to get the original price multiply that by 100 and get 850.
The original price was £850.
Answer:
850
Step-by-step explanation:
Price x .30 (100%-70%)=sales price
price x .30 = 255
price = 255/.30
price = 850
Simplify; (³√729)³ + 24
Answers
Answer:
[tex](\sqrt[3]{729} )^{3}[/tex] + 24 can be simplified to 753.
Step-by-step explanation:
If you take the root of a number to a specific number, then square that by the same number you took the root by, then you will have the same number you started with. In this case, [tex]\sqrt[3]{729}[/tex] equals 9, and [tex]9^{3}[/tex] equals 729, so [tex](\sqrt[3]{729} )^{3}[/tex] equals 729. 729 + 24 = 753, so that is the simplified answer.
helpppp helping my sister
Answers
Answer:
jus draw a m-f trapizod from googl-e
Step-by-step explanation:
Answer:
A. a regular trapezoid
B. they both have at least a pair of parallel sides
Step-by-step explanation:
Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram.
When Melissa was born, her parents put $8,000 into a college fund account that earned 9% compounded semiannually. When finding the total amount in the account after 18 years, what is N?
A. 18
B. 36
C. 2
D. 9
Answers
Answer:
Step-by-step explanation:
Mrs. Valdez created a scatter plot that showed the number of days a student was absent compared to the student's grade average in class.
Answers
Answer:
I believe it's the last one... "The association is linear based on the overall pattern"
