Which expression gives the distance between the points (5, 1) and (9, -6)?

Answers

Answer 1

Answer:

[tex]d = \sqrt{65}\text{ units}[/tex]

Step-by-step explanation:

Let [tex](x_1,x_2)[/tex] and [tex](y_1, y_2)[/tex] be the two points.

We have to find the distance between the two points.

The distance Formula:

[tex]d = \sqrt{(x_1 - y_1)^2 + (x_2 - y_2)^2}[/tex]

Here, we are given [tex](x_1,x_2)[/tex] = (5,1) and  [tex](y_1, y_2)[/tex]  = (9,-6)

Then, the distance between these two points is given by:

[tex]d = \sqrt{(5 - 9)^2 + (1- (-6))^2}[/tex]

[tex]d = \sqrt{(-4)^2 + (7)^2}[/tex]

[tex]d = \sqrt{16 + 49}[/tex]

[tex]d = \sqrt{65}[/tex]

Thus, the distance between the given point is [tex]\sqrt{65}\text{ units}[/tex].


Related Questions

If I divide 3 into 19 what will the remainder be

Answers

1 because 18/3=6 and 19-18=1
19/3 = 6 1/3

The remanded would be 1.

I hope this helps!

Which is the equation in slope-intercept form for the line that passes through (3,3) and is parallel to x + 3y = 4?

Answers

Hi there! The first answer is correct.

Let's first set up the equation in general form
ax + by = c

The line is parallel to x + 3y = 4, and therefore the formula is x + 3y = c.

The line passes through the point (3, 3) so we can plug in those values into the formula.

3 + 3 × 3 = c
3 + 9 = c
12 = c
c = 12

Now we have found the equation of our formula:
x + 3y = 12

Rewrite the formula.
First subtract x from both sides.
3y = -x + 12

Divide both sides by 3.
y = -1/3x + 4

Therefore, the first answer is correct.
[tex]k:x+3y=4\ \ \ |-x\\\\3y=-x+4\ \ \ |:3\\\\y=-\dfrac{1}{3}x+\dfrac{4}{3}\\\\l:y=mx+b\\\\l\ ||\ k\iff m=-\dfrac{1}{3}\\\\\text{therefore correct answer is}\ y=-\dfrac{1}{3}x+4[/tex]

Joy started with 2.75 gallons of milk. She used 1.5 pints to make mashed potatoes and another cup to make cookies. How much milk does Joy have left? Give your answers in three different way (using cups, pints, and gallons). SHOW WORK.

Answers

ok so,
2.75 gallons =22 pints

22 pints - 1.5=20.5 pints

20.5 pints =41 cups

41 cups - 1 cups= 40 cups

Answer= 40 cups or 20 pints or 2.5 gallons

If a = -12/5, then 5x + 2y = 6 and 3x - ay = 4 are parallel.

Answers


5x  +2y =6

Add -2y to both sides

5x=−2y+6

‌Divide both sides by 5

x=‌−2/5‌y +‌ 6/5‌

that into the second equation:


3(‌−2/5‌y+‌6/5‌)+‌12/5‌y =4

simplify

‌6/5‌y+‌18/5‌ =4

Add (-18)/5 to both sides

‌6/5‌y=‌2/5

divide both sides by 6/5

y = 1/3

substitute 1/3 for y in x = -2/5y +6/5 to solve for x

x = -2/5(1/3) +6/5

x = 16/15

so x = 16/15 and y = 1/3
 now replace both x and Y in each of the original equations to check the answers:

5(16/15) +2(1/3) =  5 1/3 + 2/3 = 6  true

3(16/15) - -12/5(1/3) = 4 true
 so they are parallel
 

which of the following numbers are between 0.40 and 0.47

Answers

A) 0.14
B) 0.38
C) 0.42
D) 0.86

Answer is C because 0.42 is between 0.40 and 0.47

Hope this helps. - M

The fraction that is between 0.40 and 0.47 is 21/50

In order to determine which of the options are between 0.40 and 0.47, convert the options to decimals.

In order to convert the fractions to decimals, divide the numerator by the denominator

7/50 = 0.14

19 / 50 = 0.38

21 / 50 = 0.42

43 / 50 = 0.86

The fraction that is between the stated numbers is 21/50

To learn more about decimals, please check: https://brainly.com/question/20549811?referrer=searchResults

Robert and his coworkers brought 11 work trucks to a service station for oil changes. While there they also put 6 gallons of gas into each vehicle. The cost of gas was $3.52 a gallon. The total bill was $694.32. What was the cost of an oil change for 1 truck?

Answers

Answer:

The cost of an oil change for 1 truck was $42

Step-by-step explanation:

Let

x -----> the cost of an oil change for 1 truck

y -----> the cost of gas for 1 truck

z ----> the total bill

we know that

[tex]z=11[x+y][/tex]

we have

[tex]z=\$694.32[/tex]

[tex]y=(6)(3.52)=\$21.12[/tex]

substitute and solve for x

[tex]694.32=11[x+21.12][/tex]

[tex]x=(694.32/11)-21.12[/tex]

[tex]x=\$42[/tex]

what did the spanish farmer say to his chicken

Answers

he says oh lay
lol!!!

What the Spanish farmer said to his chicken is: Ohlay

How to find the missing words?

This is taken from the math's worksheet titled:

‘What Did the Spanish Farmer Say to His Chicken?’

This is a math worksheet activity where one must solve the given questions to find the letters that spell out the answer to what the farmer had said.

When we solve all the questions and check the letter list, then the answer will spell out oh lay. ‘Oh lay’ is Spanish for a sense of encouragement or as an approval or an hour for triumph.

Activities are given to children along with the questions to make the task of solving the mathematical equations fun while simultaneously learning about the concept. It also challenges their skills and improves them.

Read more about missing words at: https://brainly.com/question/1408119

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draw an angle measuring 700 degrees in standard position.

Answers

A screenshot of the angle is attached.

700 is almost 2 complete revolutions around the graph.  700-360=340; this means it is the same as going 20° backwards from the starting point.

Determine which of the following expressions requires combining like terms before it is considered to be in its simplest form. Select all situations that apply. 4x + 3y - 7x a2 + a2 - b 5y - x a2 + a2b -5w2 + y - 4w2 - 8y (8pq)

Answers

4x + 3y - 7x
a2 + a2 - b

Answer:

4x + 3y - 7x

a2 + a2 - b

Step-by-step explanation:

16a^2+21a+9=6a^2 solve the equation for all real solutions

Answers

a= -3/5
or
a= -3/2
No problem!
The answers are a1= -3/2 and a2= -3/5

What is a factor of 13

Answers

Answer:

1 and 13

Step-by-step explanation:

13 is a prime no. so it doesnt have more factors just it can be divided by 1 and itself 13

maddy was one of the riders in the competition. If one judge awarded maddy a score of 87 and maddy's final score was 84.5 what score did the other judge award maddy answer

Answers

Assuming there are two judges... and 84.5 is the average..
(87+x)/2 = 84.5

x=82

Let [tex] x [/tex] be the score awarded by the other judge.

Maddy's final score is the average of the scores awarded by the 2 judges.

So,

[tex] \frac{87+x}{2} =84.5\\
87+x=169\\
x=82 [/tex]

The score awarded by the second judge is [tex] 82\;points [/tex].

Three out of four student surveyed in a school said they will vote for nuncio for class president. Predict how many of the 340 students in the school would vote for nuncio?

Answers

3/4 is .75. translate that to percentages, and you get 75%. This means that it is likely that 75% of the 340 students in total will vote for Nuncio. 
write it out:
.75*340
solve:
255

about 255 students are likely to vote for Nuncio
The answer is 255 students. I just multiplied .75 times 340.

Determine the intercepts of the function f(x)=2x^2+18x+28

Answers

The intercepts are -2 and -7 on the x-axis

Help please!? {Testing week}

If the sides of two similar figures have a similarity ratio of 5/3, what is the ratio of their perimeter?

Answers

Perimeters and Areas. When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. ... The ratios of corresponding sides are 6/3, 8/4, 10/5.

The ratio of the perimeters of two similar figures with a similarity ratio of 5/3 is also 5/3. This ratio applies to all corresponding linear measurements, including perimeter, when figures are similar.

If the sides of two similar figures have a similarity ratio of 5/3, the ratio of their perimeters will also be 5/3. This is because the perimeter of a figure is simply the sum of its side lengths, and since all corresponding sides are in the same ratio for similar figures, the perimeters will be in the same ratio too.

For example, if one figure has a side length of 5 units, its similar figure will have the corresponding side length of 3 units (given the ratio). If you add up all the sides for the first figure and all the sides for the second figure, the sums will still maintain that 5/3 ratio due to the proportional nature of similarity in geometry.

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Please please help quickly!

I have been waiting for over a half our and still no one has helped!!!

Please only answer if you KNOW you have the correct answer!!!

Thank you so much in advance!

Answers

It's actually c hoped this helped

The equation for set B can be written as
  y = x + 2
That is a linear association with a slope of +1 (positive).

The correct choice is ...
  Set B

Use the above figure to answer the following questions. Show your work if possible

A. What is the intersection of plane P and plane R?

B. Name three points that are collinear

C. Name R in two more ways

D. Name four coplanar points

Answers

Part A

Answer: segment AB

---------------------

another possible answer is segment AD. Segment BA is the same as segment AB. Segment DA is the same as segment AD. The order of the letters does not matter for segments.

All of the segments mentioned fall on the same line where the two planes intersect. This can be thought of as the book's spine in a sense (imagine the book is wide open, the pages are the planes)

Plane P is the horizontal plane
Plane R is the vertical plane

=====================================================

Part B

Answer: Point A, Point D, Point B

---------------------

These three points all fall on the same line which means they are considered collinear. In other words, we can extend segment AD to have that line go through point B. Or put another way, segment AB has point D on it.

=====================================================

Part C

Answer: Plane DFG, plane GFA

---------------------

To name a plane, we need to have three noncollinear points mentioned. These three noncollinear points must be in the plane we are naming. Think of it as naming a triangle that is entirely in the plane. Two points aren't enough because we can have two planes through a single segment (as part A shows). Points D, F, A, G, B all are in plane R. So you just pick three of those points to name the plane. 

Note: you cannot pick A, B, and D together because you must pick three noncollinear points. Otherwise you run into the problem mentioned earlier (having 2 planes go through the same segment)

=====================================================

Part D

Answer: Point A, Point B, Point D, Point F

---------------------

All of the points mentioned are in the same plane. They are all in plane R (the vertical plane). Point G is also in plane R, but I left it out because your teacher only wants 4 coplanar points.

Another possible answer is listing any four points in plane P, such as this set {point C, point D, point E, point A} which all are located in the horizontal plane. 

Use Cramer's rule to solve 4x + 3y = 4, -3x - y = 7. Show your work.

Answers

The answer is shown in the picture because it ran afoul of Brainly's "bad word" detector.

The graph of linear equation A passes thru the points (-7,4) and (3,-10), while the graph of linear equation B passes thru the points (-7,4) and (5,11). which of these is a solution to the system of equations consisting of linear equation A and B

a. (-7,4)
b. (3,-10)
c. (5,11)
d. (7,4)
show work and i need really bad

Answers

Is it A since it passes thru both equations

We want to find the solution for the system of linear equations such that we know some points of the lines. We will see that the correct option is A: (-7, 4).

Systems of linear equations.

When we have a system of equations the solutions are the points where the graphs of the equations intercept.

Here we know that we have two lines:

Line A passes through (-7, 4) and (3, - 10)Line B passes through (-7, 4) and (5, 11).

So we already can see that both lines pass through the point (7, -4), meaning that the lines do intercept at that point, so the solution of the system is that point (we know that we don't have more solutions because lines intercept only once).

So the correct option is A: (-7, 4)

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/14323743

Andrew ran 4 laps on Sunday and 2.2 laps on Saturday. If each lap is 1.5 miles, how far did Andrew run last weekend?

Answers

4 x 1.5 + 2.2 x 1.5 = 12.3

Can someone pls help me with diagram 2 I'm confused about how I'm supposed to find the number for the corners like the other two diagrams.

Answers

Isn't that interesting? What a neat little problem.

The middle number between a and b = (a + b)/2
The middle number between b and c = (b + c) / 2
The middle number between c and d = (c + d)/2
The middle number between d and a = (d + a)/2

The sum of the numbers in the corners of
diagram 1 =  a + b + c + d Do you agree.

Now look at diagram two. Start by putting a, b, c and d in the corners.
Now remove the brackets from what I found above.
diagram 2 = a/2 + b/2 + b/2 + c/2 + c/2 + d/2 + d/2 + a/2 Now collect all the like terms.
diagram 2 = a/2 + a/2 + b/2 + b/2 + c/2 + c/2 + d/2 + d/2
a/2 + a/2 = a does it not?
b/2 + b/2 = b
c/2 + c/2 = c
d/2 + d/2 = d

The sum of the middle numbers in diagram 2 = a + b + c + d
But that's the same sum as diagram 1, which was what you were asked to prove. You cannot come up with a counter example that will give a different result, at least in the positive integers.

The question provides you with room for a written answer. You are going to have to reproduce in some form what I've put in italics.

Thank you for posting.

What type of association would you expect to see between the amount of fog in the sky and the distance that a pilot can see? A) Positive association B) Negative association C) No association D) There is not enough information to tell

Answers

We can make a conclusion that the more fog there is, the less distance the pilot can see. this means that there is a negative association because if this were graphed, the slop would be negative, as the x-axis (amount of fog) increases and the y-axis (distance pilot can see) decreases.
Final answer:

There is a negative association between the amount of fog in the sky and the distance a pilot can see; i.e. the higher the amount of fog, the lower the visibility distance.

Explanation:

The question primarily asks about the association between the amount of fog in the sky and the distance a pilot can see. In general, the greater the fog, the lower the visibility distance for a pilot. Hence, there is a negative association between these two variables. When one variable (amount of fog) increases, the other variable (pilot's visibility distance) decreases.

Learn more about Visibility in Fog here:

https://brainly.com/question/37477080

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BRAINLIEST 20 POINTS

Answers

14.
[tex]y=-\dfrac{5}{8}x+3\ \ \ |\cdot8\\\\8y=-5x+24\ \ \ |+5x\\\\\boxed{5x+8y=24}[/tex]

15.
[tex]k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ ||\ l\ \iff\ m_1=m_2[/tex]

therefore [tex]y=2x+b[/tex]

substitute the coordinates of the point to the equation:

[tex](3;\ 8)\to x=3;\ y=8\\\\8=2\cdot3+b\\8=6+b\ \ \ \ |-6\\b=2[/tex]

Answer: y = 2x + 2

16.
[tex]k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ ||\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1[/tex]

[tex]k:y=-3x+7\\\\l:-2x+6y=3\ \ \ |+2x\\\\6y=2x+3\ \ \ |:6\\\\y=\dfrac{1}{3}x+\dfrac{1}{2}\\\\m_1=-3;\ m_2=\dfrac{1}{3}\\\\m_1\cdot m_2=-3\cdot\dfrac{1}{3}=-1[/tex]

therefore [tex]k\ \perp\ l[/tex]

Answer: perpendicular

17.
a conditions as in the 16th question.

[tex]k:y=-\dfrac{1}{4}x+8\\\\l:-2x+8y=4\ \ \ |+2x\\\\8y=2x+4\ \ \ |:8\\\\y=\dfrac{1}{4}x+\dfrac{1}{2}\\\\m_1=\dfrac{1}{4};\ m_2=\dfrac{1}{4}\\\\m_1=m_2[/tex]

therefore\ [tex]k\ ||\ l[/tex]

Answer: parallel

Answer:

lol thxs for the points

Step-by-step explanation:

a class had 2 3/4 yards of twine. Five students each used 1/8 of a yard.
Estimate the total yarn left.

Answers

5 students used 1/8 each

5 · 1/8 = 5/8

Subtract 5/8 from 2 3/4 to get your answer

First, make it the same denominator: 8

2 3/4 = 2 6/8

2 6/8 - 5/8 = 2 1/8

There is about 2 yarn left. Exact amount left: 2 1/8

Hope this helps :)

number 4 plewse asap plzzzzzzzz its due tomorrow i dont know how to do it

Answers

Problem 4
A
If he is staying in the same place km for 1/2 hour, you can assume he's eating lunch or something. He hasn't moved at all, so his speed = distance over time = 0/(0.5) hours = 0
0 = answer

B
Watch out for this. It's a little bit nasty. He starts out at 20 km He ends up at 0 km. It means he is going back to were he started from. If it said velocity, you'd have a problem. 

The time taken is 1.5 to 3 hours = 1.5 hours
His speed is d/t
His speed is 20/1.5 = 13.33 km/hr.

Speed = total distance / total time
total time = 3 hours.
Total distance = 40 km which is what the odometer would show.
Speed = 40 km/3 hours = 13.33 km/hour

C
You could just read the graph. He is 10 km from home.


how to do this?
[tex]{3}^{2 - x} = {5}^{x} [/tex]
the ans is
[tex] \frac{ ln(9) }{ ln(15) } [/tex]

Answers

This equation uses two properties of logarithms:

[tex]\ln(g^x) = x \ln(g)[/tex]

[tex]\ln(a) + \ln(b) = \ln(ab)[/tex]

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15


Is the sequence geometric? If so, identify the common ratio. 1/5, 2/15, 4/45, 8/135, 16/405

Answers

a,ar,ar².... is the gp

now 2/15/1/5 = 2/3

and 4/45/2/15 = 2/3

therefore 2/3 is the common ratio

This is already answered by: Cerverusdante

So have the sequence: 1/5,2/15,4/45,8/135,16/405To check if the sequence is geometric, we are going to find its common ratio; to do it we are going to use the formula: r=(an)/(an-1)where  r is the common ratio  an is the current term in the sequence an is the previous term in the sequenceIn other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:
For an= 2/15 and an-1=1/5 :r=(2/15)/(1/5)r=2/3
For an=4/45 and an-1=2/15:
r=(4/45)/(2/15)
r=2/3


For  an=8/135 and an-1=4/45 :r=(8/135)/(4/45)
r=2/3
As you can see, we have a common ratio!
We can conclude that our sequence is a geometric sequence and its common ratio is  2/3
Read more on Brainly.com - https://brainly.com/question/9371565#readmore

Solving inequalities by Multiplying or Dividing.

Solve each inequality and check your solution. Then graph the solution on a number line. ~Thank you ;)

Answers

Final answer:

To solve inequalities by multiplying or dividing, apply the operation to both sides and remember to reverse the inequality when multiplying or dividing by a negative number. Graph the solution on a number line and check it. Graphical representations also help in visualizing economic data.

Explanation:

When solving inequalities by multiplying or dividing, it is important to remember that applying the same operation to both sides of the inequality does not change the sense of the inequality unless we multiply or divide by a negative number, which reverses the inequality. The procedure involves isolating the unknown on one side by using multiplication or division. It is key to multiply or divide every term on either side of the inequality whenever it involves more than one term. This is done by enclosing the side with more than one term in small brackets before performing the operation.

To graph the solution on a number line, identify the range of values that make the inequality true. For instance, in an inequality such as x > 5, you would draw an open circle at 5 and shade the line to the right to indicate all the values greater than 5. Remember to check your solution by substituting a number from the solution set back into the original inequality.

Moreover, if you encounter a graphing task related to economic models, it is helpful to represent the data visually using various graphs such as line graphs, pie charts, or bar graphs. These graphical representations illustrate patterns, comparisons, trends, and relationships in data effectively, providing an intuitive understanding of complex information.

The baseball team has a double-header on Saturday. The probability that they will win both games is 18%. The probability that they will win just the first game is 60%, What is the probability that the team will win the 2nd game given that they have already won the first game?

Answers

I got 30%
60% as a decimal is 0.6
18% as a decimal is 0.18
0.6 times 30% or 0.3 is 0.18

Let the event to win the first game is F and to win the second game is S.

This question is from conditional probability and hence we use the below formula.

[tex]P(S/F)=\frac{P(F and S) }{P(F)}[/tex]

Now, we have been given that

[tex]P(F and S)=0.18\\ P(F)=0.60[/tex]

On substituting these given values in the formula, we get

[tex]P(S/F)=\frac{0.18}{0.60} \\ \\ P(S/F)=0.3=30\%[/tex]

Therefore, the probability for winning the second game is 30%

What is the length of GH¯¯¯¯¯¯, to the nearest tenth of a meter? 7.3 m 13.7 m 14.1 m 19.4 m A scalene triangle G H J. The base side is J H. Side G J is labeled as 10 meters. Angle J is labeled as 45 degrees. Angle H is labeled as 31 degrees.

Answers

By applying the law of sines.

[tex] \frac{GH}{sin \ J} = \frac{GJ}{sin \ H} [/tex]

Given:
GJ = 10 , ∠J =45° , ∠H = 31°

∴ [tex] \frac{GH}{sin \ 45} = \frac{10}{sin \ 31} [/tex]

∴ GH = 10 * sin 45° / sin 31° ≈ 13.7 m

Answer:

13.7 m

Proof in Pic:

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