What is the distance between (7, 1) and (-4, -5)?

Answers

Answer 1

Answer:

The distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units

Step-by-step explanation:

Use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] where [tex]d[/tex] is the positive distance between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

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

[tex]d=\sqrt{(-5-1)^2+(-4-7)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(-11)^2}[/tex]

[tex]d=\sqrt{36+121}[/tex]

[tex]d=\sqrt{157}[/tex]

Therefore, the distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units

Answer 2

Answer: The distance between (7,1), and (-4, -5) is 12.53.


Related Questions

please help,I WILL GIVE BRAINLIEST.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer:

During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3

During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2

Then using both equations will be:

y = 5x + 3

y = 5.5x + 2

Subtract the equations

0.5x = 1

x = 1/0.5 = 2

Therefore, the value of y will be:

y = 5x + 3 = 5(2) + 3 = 13

Solve for the variable! 4 questions! Need to turn it in soon so ASAP!
Please show your steps! Thank you!

Answers

Answer:

Step-by-step explanation:

Evaluate the following expression if c = 8 and d = -5



3 * (c+d

Answers

Hi,

if c = 8 and d = -5:

3*(c + d) <=> 3*(8 + (-5))

= 3*(8 - 5)

= 3*3

= 9

✅^_^

Which statement is true about this equation? 3(-y 7) = 3(y 5) 6.

Answers

The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;

Statement A; The equation has one solution, y = 0

The given equation is;

3(-y + 7) = 3(y + 5) + 6

Expanding the brackets gives us;

-3y + 21 = 3y + 15 + 6

-3y + 21 = 3y + 21

Using subtraction property of equality, subtract 21 from both sides to give;

-3y = 3y

Using addition property of equality, add 3y to both sides to give;

-3y + 3y = 3y + 3y

6y = 0

Using division property of equality, divide both sides by 6 to get;

y = 0

Read more about factorization at; https://brainly.com/question/11000698

The missing statements are;

A. The equation has one solution, y = 0.

B. The equation has one solution, y = -1.

C. The equation has no solution.

D. The equation has infinitely many solutions.

What is the value of this expression when y = 6? 6(4y−3)−9y

Answers

Answer:

72

Step-by-step explanation:

6(4(6)-3)-9(6)

6×(24−3)−54

I think the answer is 72, sorry if it is wrong

Answer:

I think it's 72

Step-by-step explanation:

4.6=24

24-3=21

21.6=126

9.6=54

126-54= 72

SOMEONE HELP ME ON THIS!!

Answers

Answer:

a) 8 ,18 year old students took part in the survey

b) 10

The graph for the first equation of a system is shown in orange. The second equation is:

3y+30=6x

What is the solution to the system?
A. (2, –10)
B. (1, –8)
C. (–2, –14)
D.(2, –6)

Answers

Answer:

b

Step-by-step explanation:

Slope of the first one:

(-6-0)/(0--3) = -6/3 = -2

y = -2x - 6

3y + 30 = 6x

y + 10 = 2x

-2x - 6 + 10 = 2x

4 = 4x

x = 1

y = -2(1) - 6

y = -8

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

last option

Step-by-step explanation:

b) 1/6 = 16.7 to 1dp

c) 45% = 45/100 = 9/20

d) 7/9 = 77.8% to 1dp

Help please due today!

Answers

Answer:

36.87 degrees

Step-by-step explanation:

Use the law of sines

sin(90)/70 = sin(x)/42

Multiply each side by 42

42 * sin(90)/70 = sin(x)

use a calculator to get 0.6

Use inverse sin to find angle sin^-1 = 0.6

The angle is approximately 36.87 degrees

Kayla was asked to rewrite the polynomial expression x ^ 2 + 5x + 9 she rewrite the polynomial ? How could she rewrite with the polynomial?

Answers

Answer:

x²+6x+9

x²+3x+3x+9

x(x+3)+3(x+3)

=(x+3)(x+3)

Hey can u help me plsss I really need help don’t just press for points.

Answers

how do we hel you , ca we get a description

hat equation represents this sentence?


7 less than a number is 16.



7−n=16


n−7=16


7=16−n

like you cut g

7=n−16

Answers

Answer:

2nd option

Step-by-step explanation:

let the number be n then 7 less than this number is n - 7 , so

n - 7 = 16

: Ram lived in a small village. When he left for a college in a city, the population of his village was 840. When he came back, the , population had grown by 5%. What was the nopulation he found?​

Answers

Answer:

882

Step-by-step explanation:

840 : 100 x 105 = 882

ali sorced 66 and 72 marks respectively. for his two tests what is the lowest marks he must have sorced for his third test if an average score of at least 75 is required to qualify for a bonus prize

Answers

Answer:

87

Step-by-step explanation:

66 + 72 + 87 = 225

225 / 3 = 75

How do you find the inverse of the exponential growth function?

f(x)=9.16(1.0054)^x


I know the inverse of an exponential is the log but the function is not in the exponential form and I am not sure how to find c

Answers

Answer:

The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)

Step-by-step explanation:

Starting equation... f(x) = 9.16(1.0054)ˣ

Visually rewritten... y = 9.16(1.0054)ˣ

Flipping x and y... x = 9.16(1.0054)ʸ

Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ

Taking the log of both sides... log (x/9.16) = y log (1.0054)

Isolating y... log (x/9.16)/log (1.0054) = y

Solution... y = log (x/9.16)/log (1.0054)

Find the value of f(7).
y = f(x)

Answers

-1 should be your answer. It is where the parabola intersects when x=7

xsquare- 2x -4 = 0 using completing Square method​

Answers

Answer:

........................

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 59. There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.​

Answers

There are 20 red marbles

Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:

= 1 - 5/9

= 4/9

If there are 45 marbles in total, the number of red marbles will be:

= 4/9 × 45

= 20

Therefore, there are 20 red marbles.

start a conversation with me and you get 100 points :D

Answers

Answer:

lol hi :D

Step-by-step explanation:

Answer:

Hey what's up?

Step-by-step explanation:

How's life

2x- 5 >18 +x
necesito ayuda pliss
necesito con resolución

Answers

Answer:

x > 23

Step-by-step explanation:

2x - 5 > 18 + x

x - 5 > 18

x > 23

brainliest pls

x>23 because that’s just the answer

Kelly is measuring an object with a metric ruler. To minimize parallax, she should…

Answers

Answer:

Place the ruler such that the edge is against the object. Parallax is a distortion of view because humans see through two sources, not just one. the farther the object is away from the ruler, the more that parallax can affect the situation.

Step-by-step explanation:

PLEASE HELP TEST DUE SOON⚠️ which graph should be used to show the situation described? The temperature increases by4° every hour

Answers

Step-by-step explanation:

the bottom left is the right option.

just by saying "the temperature increases ..." the 2 options on the right are wrong. the line has to go up, not down.

the first graph (top left) increases too strongly, way more than just 4ft per hour.

What is the volume of a rectangular prism with a length of 2x, a width of x−2, and a height of x + 2?

Answers

Answer:2x³ - 8x is the volume of a rectangular prism.Step-by-step explanation:Volume: L x B x H=> (2x) × (x - 2)(x + 2)=> (2x) × (x² - 4)=> 2x(x² - 4)=> 2x³ - 8x units³ [According to DMAS rule]Conclusion:

Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

(2x³ - 8x) is the volume of a rectangular prism.

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, a rectangular prism with a length of 2x, a width of (x−2), and a height of (x + 2)

Volume: L x B x H

= (2x) × (x - 2)(x + 2)

= (2x) × (x² - 4)

= 2x(x² - 4)

= 2x³ - 8x units³

Hence, 2x³ - 8x units³ is the volume of a rectangular prism.

For more references on volume, click;

https://brainly.com/question/13338592

#SPJ2

what is 1,625 if you write it as a mathematical fraction?​

Answers

Answer:

there are lots of ways. some of them are

1625/2, 3250/2, 4875/3........

simplify this expression

Answers

Option B

If any doubt leave a comment

Find the equation of the straight line which makes a negative intercept of 4 units on the x - axis and passes through the point (2‚ 3).​

Answers

Answer:

y = 1/2x + 2.

Step-by-step explanation:

It passes through the points (-4, 0) and (2,3) so

the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.

Using the point slope form of a straight line:

y - y1 = m(x - x1):

y - 3 = 1/2(x - 2)

y = 1/2x - 1 + 3

y = 1/2x + 2 is the required equation.

The area of a rectangle is 52 in^2. If the length is 9 inches more than the width, find the
dimensions of the rectangle.

Answers

Answer:

width=4in.

length=13in

Step-by-step explanation:

let the width of the rectangle be x

then the length will be x+9

Area= length×width

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

the width is 4in. and the length is 4+9=13in.

The solution is, width=4in.

length=13in

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The area of a rectangle is 52 in^2.

If the length is 9 inches more than the width.

let the width of the rectangle be x

then the length will be x+9

Area= length×width

so, we have,

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

so, we get,

the width is 4in. and the length is 4+9=13in.

To learn more on Area click:

brainly.com/question/20693059

#SPJ3

Saturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn

Answers

Answer:

4,756.66 seconds or 1.321 hours

Here's how I got that:

- Simply use time formula and plug in what you know -

                         t = distance/speed

                                         ↓

              1,427,000,000,000/300000000

                                         ↓

                                t = 4,756.66

~That's all folks~

-Siascon

Need help on HS geometry

Answers

Here, RY = PY.Angle QRY = Angle QPY = 90°QY = QY [common]Therefore, ∆ QRY = ∆ QPYBy c.p.c.t., angle RQY = angle PQYTherefore, [tex]16x - 27 = 5x + 6 \\ = > 16x - 5x = 6 + 27 \\ = > 11x = 33 \\ = > x = 3[/tex]Therefore, the measure of angle YQR[tex] = (16x - 27)° \\ = (16 \times 3 - 27)° \\ = (48 - 27)° \\ = 21°[/tex]

Answers:

321°

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \tt\Rrightarrow 16x-27=5x+6[/tex]

[tex]\\ \tt\Rrightarrow 16x-5x=6+27[/tex]

[tex]\\ \tt\Rrightarrow 11x=33[/tex]

[tex]\\ \tt\Rrightarrow x=3[/tex]

m<YQR=16(3)-27=48-27=21°

Samir works at a carpet warehouse and is paid a 4% commission on his sales. in November, he sold $9455 of carpet. How much did Samir earn in commission for November?

Answers

Answer:

$378.20

Step-by-step explanation:

9455 * .04 = $378.20

Other Questions
17.31 x____=173.1 decimal math Which one of the following is NOT an Element of Design Describe what a continent is A laser printer prints 9 pages per minute. Martha refilled the paper tray after it had printed 92 pages. In how many more minutes will there be a total of 245 pages printed? Would you be comfortable interacting with a humanoid-like America in the future? please help with geometry problems PLZ HELP ASAP! I need this done tonight pleaseThe importance of wearing a seatbelt while riding in the car can best be explained using:A) Newton's First Law (Law of Inertia)B) Newton's Second Law (F=ma)C) Newton's Third Law (Action-Reaction)D none of the above How does whats it change in chapter 4 What happens in cellular respiration? What is the probability of picking an 8 and then picking a number greater than 6? what figure is a rotation of figure what is the maximum social security benefit at age 62 QUESTION 13 PLEASE HELP ME ASAPP Korena is paid $40 it weed the garden 5 times. At this rate, how many times must she weed the garden to earn $100? hi can you help me ?solve the equation by the method of vision:x-7x+12=0solve the problem by dividing it into full squares:x-8x-8=0 Evaluate the function.f(x)=-3x^2-20Find f(7) CAN SOMEONE PLEASE HELP ME I BEG U help pls!! I will mark brainliest!! :( why is the concentration of oxygen in the body cells lower than the concentration of oxygen in the alveolus?A. Alveolus can produce oxygen.B. The exchange of gases occur in the alveolus.C. Oxygen is used up for respiration I the body cells.S. Oxygen diffuses out from the body cells. Why is air temperature above land warmer than the air temperature above water in the same location during the summer?