What is the distance, d, between the points (3,5/2) and (5/3,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
Answers
The distance between the two points is of:
[tex]D = \frac{\sqrt{145}}{6}[/tex]
------------------------------
Distance between two points:
Two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
------------------------------
The points are [tex](3, \frac{5}{2})[/tex] and [tex](\frac{5}{3},1)[/tex].Thus, the distance between them is given by:[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D = \sqrt{(\frac{5}{3} - 3)^2+(1 - \frac{5}{2})^2}[/tex]
[tex]D = \sqrt{(\frac{5}{3} - \frac{9}{3})^2 + (\frac{2}{2} - \frac{5}{2})^2}[/tex]
[tex]D = \sqrt{(-\frac{4}{3})^2 + (-\frac{3}{2})^2}[/tex]
[tex]D = \sqrt{\frac{16}{9} + \frac{9}{4}}[/tex]
[tex]D = \sqrt{\frac{64 + 81}{36}}[/tex]
[tex]D = \sqrt{\frac{145}{36}}[/tex]
[tex]D = \frac{\sqrt{145}}{6}[/tex]
A similar problem is given at https://brainly.com/question/14849255
Answer:
The answer is \/145/6 (The answer above)
Step-by-step explanation:
I took the Test.
Related Questions
ANSWER PLEASE 100 POINTS
Answers
Answer: multiplication property of equality
Step-by-step explanation:
in the equation 2(x-3)=18
it should be 2x-6=18
x=12 by the way
[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c}\boxed {\bf {Statement}} & \boxed {\bf {Reason}} \\ \\\\ \text{2(x-3)=18} & \sf{Given} \\\\ \text{ 2x-6=18} &\sf{Multiplication ~property~ of~ equality } \\\\ \text{2x=18+6}& \sf \\\\ \text{2x=24} &\sf{Addition~ property~ of~ equality }\\\\ \text{x=24/2} & \sf{Division~ property ~of ~equality }\\\\ \text{X=12} & \sf \end {array}}}\end{gathered}[/tex]
Please help easy question
Answers
The Answer:
63° degrees
Answer:
63° degrees
Step-by-step explanation:
Please Help!!!!!!!!
19. The velocity of an object fired directly upward is given by V = 35 – 9.8t, where t is time in seconds. Which inequality describes the velocity when t is between 0.5 and 1.5 seconds? (HINT: Remember that when you multiply an inequality by a negative number, you must switch the direction of the inequality.)
A. 20.3 > 35 - 9.8t > 30.1
B. 4.9 > t > 14.7
C. 0.5 35 - 9.8t > 4.9
D. V < 30.1
E. 20.3 < 35 - 9.8t < 30.1
F. 14.7 > 35 - 9.8t > 4.9
Answers
Answer:
20.3 < 35 - 9.8t < 30.1
Step-by-step explanation:
Given the Velocity model:
V = 35 – 9.8t ; t = time in seconds
V when t is between 0.5 and 1.5
V when t = 0.5
V = 35 - 9.8(0.5)
V = 35 - 4.9 = 30.1
Vt=0.5 = 30.1
V when t = 1.5 ;
V = 35 - 9.8(1.5)
V = 35 - 14.7 = 20.3
Vt= 1.5 = 20.3
Hence V, between, t = 0.5 and t = 1.5
Vt=1.5 < V < Vt=1.5
20.3 < V < 30.1
V = 35 - 9.8t
20.3 < 35 - 9.8t < 30.1
According to the U.S. Geological Survey, the Mississippi River is 200 mi
shorter than the Missouri River. Together, they cover a total of 4880 mi.
How long is the Missouri River? *
Answers
What is the 8th term of the sequence 12, 17, 22, 27, 32,...
Answers
Answer:
47
Step-by-step explanation:
just keep adding by 5
John earns $437 a week after a 15% pay rise. What was his pay initially? Round your answer to the nearest dollar.
Answers
Answer:
380 dollars
Step-by-step explanation:
John earns $437 a week after a 15% pay rise.
Let the initially pay of John be x
x + (15% of x) = 437
x + 0.15x = 437
1.15x = 437
x = \frac{437}{1.15}
1.15
437
x = 380
Sarah has 4/7 pounds of flour. She is splitting the flour into 5 containers
with the same amount in each container. How much flour will be in each
container? *
Answers
Answer:
4/35 pounds
Step-by-step explanation:
4/7 ÷ 5 is the same as
[tex]\frac{4}{7} * \frac{1}{5}[/tex]
4x1/7x5
= 4/35
Answer:
4/35
Why?
To figure this out I had to make 5 into a fraction. 5/1. Now, I had to find a common denominator. 35. From there I changed both fractions, divided them, and got my answer.
In ΔGHI, \overline{GI} GI is extended through point I to point J, \text{m}\angle GHI = (3x+13)^{\circ}m∠GHI=(3x+13) ∘ , \text{m}\angle IGH = (x+8)^{\circ}m∠IGH=(x+8) ∘ , and \text{m}\angle HIJ = (6x-5)^{\circ}m∠HIJ=(6x−5) ∘ . Find \text{m}\angle GHI.m∠GHI.
Answers
Given:
In ΔGHI, GI is extended through point I to point J.
[tex]m\angle GHI=(3x+13)^\circ,m\angle IGH=(x+8)^\circ,m\angle HIJ=(6x-5)^\circ[/tex]
To find:
The measure of angle GHI.
Step-by-step explanation:
According to exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measure of two opposite angles.
Using exterior angle theorem, we get
[tex]m\angle HIJ= m\angle GHI+m\angle IGH[/tex]
[tex](6x-5)^\circ=(3x+13)^\circ+(x+8)^\circ[/tex]
[tex](6x-5)^\circ=(4x+21)^\circ[/tex]
[tex]6x-4x=21+5[/tex]
[tex]2x=26[/tex]
Divide both sides by 2.
[tex]x=13[/tex]
Now,
[tex]m\angle GHI=(3x+13)^\circ[/tex]
[tex]m\angle GHI=(3(13)+13)^\circ[/tex]
[tex]m\angle GHI=(39+13)^\circ[/tex]
[tex]m\angle GHI=52^\circ[/tex]
Therefore, the measure of angle GHI is 52 degrees.
What is the probability of getting orange
or blue and a multiple of 3?
Answers
Answer:
the answer is 1/2 because of the multiple of 3
Kia Read for a total of 60 minutes on Monday and Tuesday. He read for 60 minutes on Tuesday. How many minutes did he read on Monday?
Answers
60 - 60 = 0
Which unit of length would be most appropriate to describe the length of your
foot?
Answers
Answer:
inches
Step-by-step explanation:
well depends on how big your foot is
9+10
A.21 B.19 C.1 D.90
Answers
Answer: 19 XD
Step-by-step explanation: u add
angle 1 and angle 4 are blank angles
Answers
Answer:
C. vertical angles
Step-by-step explanation:
Arthur is building a rectangular sandbox for his son. The area of the sandbox is 17 23/32
sandbox is 3 3/8feet, what is the width of the sandbox?
Answers
Answer:
The answer is 5 1/4 feet
Select all the angles that are
congruent to 6.
A 1 C 3 E 7
B 2 D 4 F 8
Answers
You track inventory at a furniture store. On Monday, the delivery truck delivers 15 new mattresses. Your team sells seven mattresses on Monday, two mattresses on Tuesday, zero on Wednesday, and five on Thursday. You receive a new order Friday morning of 15 mattresses. How many mattresses do you now have available?
Answers
Answer: 16
Step-by-step explanation: You started with 15 , you lose 7 Monday which leaves you with 8 , 2 on Tuesday which leaves you with 6 , 5 on Thursday which leaves you with 1 and then you received 15 on Friday which brings you to 16
The number of mattresses available now is 16.
Given that, On Monday, the delivery truck delivers 15 new mattresses. Number of mattresses sold on Monday=7, number of mattresses sold on Tuesday=2, number of mattresses sold on Wednesday=0, and number of mattresses sold on Thursday=5.
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Let number of mattresses do you now have available be x.
Given that, receive a new order Friday morning of 15 mattresses.
So, x=15-(7+2+0+5)+15
=30-14=16
Therefore, the number of mattresses available now is 16.
To learn more about an equation visit:
https://brainly.com/question/1529522.
#SPJ2
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
the second one would be the correct anwser i think.
Step-by-step explanation:
In the figure find aec
Answers
Answer:
105
Step-by-step explanation:
the angle of aec is just a little more that 90°
Help please will give brainlest!!!
Answers
Answer:
1.55 or 31/20 which is 1 11/20 gallons
Step-by-step explanation:
find each sum.
17+(-28)
12+(-9)
-2+7
-14+(-10)
Answers
Answer:
-11
3
5
-24
Step-by-step explanation:
Answer:
1.-11
2.3
3.5
4.-24
Step-by-step explanation:
Hope this helps! :)
Please help this is due today!! Question: What is the relationship between the 6s in 660,472?
Answers
Answer:
The first 6 is in the hundred thousands place.
The second 6 is in the ten thousands place.
Here are the info for the rest of the numbers:
6 = hundred thousands
6 = ten thousands
0 = thousands
,
4 = hundreds
7 = tens
2 = ones
Hope this helps you!
Best of luck!
PLEASE HELP I BEG YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
R1: Given
R2: Subtraction Property of Equality
R3: Distribute Property
R4: Addition Property of Equality
R5: Division Property of Equality
Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°
Given: ∠1 + ∠2 = ∠ 4
∠4 + ∠3 must be 180° because they are supplementary
If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.
Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.
Plz mark brainliest:)
2.
The heights of horses who compete in the Melbourne Derby are
normally distributed with a mean of 66 inches and a standard
deviation of 3 inches.
(a) If a horse is randomly selected from this race, what height
would you expect it to be?
(b) What percentage of horses who compete in the Melbourne
Derby have heights between 60 and 72 inches?
(c) In a particular year there are 25 horses running in the
Melbourne Derby. How many of these would you expect
to have a height of less than 63 inches?
Answers
Answer:
66 inches ;
95.44 ;
4
Step-by-step explanation:
Given that:
Normal distribution with;
Mean(m) = 66 inches
Standard deviation (s) = 3 inches
A.) If a horse is chosen at random, Expected height will be equal to the mean of the distribution = 66 inches
B.) percentage horses who are between 60 and 72 inches
Zscore = ( x - m) / s
x = 60
Zscore = (60 - 66) / 3
Zscore = - 6/3
= - 2
P(Z < - 2) = 0.0228
Zscore = ( x - m) / s
x = 72
Zscore = (72 - 66) / 3
Zscore = 6/3
= 2
P(Z < 2). = 0.9772
Between 60 and 72
0.9772 - 0.0228 = 95.44
c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?
Zscore = ( x - m) / s
x = 63
Zscore = (63 - 66) / 3
Zscore = - 3/3
= - 1
P(Z < - 1) = 0.1587
0.1587 * 25 = 3. 967 = 4
there are 3 people at a party if each person must shake hands with every other person at the party exactly once how many handshakes will there be
Answers
Answer:
there will be 9
Step-by-step explanation:
The ratio of boys to girls in ms Cunningham’s class is 2 to 3. There are 18 girls in the class. What is the total number of students in her class?
Answers
Answer:
30 students
Step-by-step explanation:
you have a ratio, and an unknown amount, so set up a proportion
[tex]\frac{2}{3} = \frac{x}{18}[/tex] I used x because the amount of boys is unknown
so then, cross multiply
(so do 3 times x, and 2 times 18)
[tex]3x=36[/tex]
then divide both sides by 3 to get x by itself, and you get
[tex]x=12[/tex]
this means there are 12 boys in the class. because the problem is asking for the total number of students, add 12 and 18 (the number of boys and girls).
you get 30, so there are 30 students in her class.
3. Reason Can you write
3+ 4+ 7 = 14 as a multiplication
sentence? Explain.
Answers
Answer:
3 + 4 + 7 = 14
7 + 7 = 14
2(7) = 14
Step-by-step explanation:
If f(x) = -x + 4 and g(x) = x^2 - 5, then g(f(-1)) = ?
Answers
Answer:
g(f(-1)) = 20
Step-by-step explanation:
first we need to compute f(-1)
f(-1) = -( -1 ) + 4 = 1 + 4 = 5
then we take g(5):
g(5) = ( 5 )^2 - 5 = 25 - 5 = 20
if Billy has three and four fifths of cake and Sam eats 2/3 of it how much cake does Billy have left
Answers
Answer:
3 and one third
Step-by-step explanation:
(3 1/3)
Evaluate:
54 - 75 + 81 - (-27) + 53
Answers
Turn the two negatives positive
54-74+81+27+53
Add 81 and 27
Add 108 and 53
Add 54 and 80
Subtract 75 from 134
= 59
market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions
Answers
Answer:
0.8461
Step-by-step explanation:
The question didn't state any value, so I assumed some of my own.
You can check your notes, and change the values to that of your own, it's the same method.
Given that
The market research firm conducts survey with 40% historical response rate.
The total number of sample is used is 400
The total number of individuals expected to cooperate is 150
What is the probability that the sample proportion would be 150/400 or 0.375..
See attachment for calculation.