What is the distance between (-2, 4) and (5, 4) on a coordinate grid?

Answers

Answer 1

Answer:

7 units

Step-by-step explanation:

(Background info, skip if not interested or needed for you)

The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

a and b being sides of a right triangle, c being the hypotenuse.

When we are solving for distance we are solving for c essentially.

[tex]c[/tex] = [tex]\sqrt{a^2 + b^2}[/tex]

Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.

(solutions)

So essentially distance is:

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

Now we just use the values given to us, and sub in the x and y values respectively.

(-2,4) [tex]x_1 = -2, y_1 = 4[/tex]

(5,4)[tex]x_2 = 5, y_2 = 4[/tex]

plug these values in:

[tex]d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7[/tex]

Therefore the distance is 7 units.


Related Questions

Jay is measuring the angles of a triangle. He gets 30 degrees and 100 degrees, what is the measured third angle?

Answers

Answer:

50°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

3rd + 30° + 100° = 180°

3rd + 130° = 180° ( subtract 130° from both sides )

3rd angle = 50°

Answer:

50 degrees

Step-by-step explanation:

In any triangle, there are 180 degrees. If we add 100 degrees plus 30 degrees to get 130, simply subtract that from 180 the get the measure of the third angle. (180-130= 50) Hope this helps!

Given KL←→− is tangent to ⊙F at point J, select all the statements that must be true

Answers

Given that the tangent KL to the circle at point J and the interior triangles ∆JGL, and ∆JFL, we have;

C. mHJL = mJGH

D. mGHJ = mKJG

How can the true statements be found?

From the tangent secant interior angles measure theorem, we have;

mHJL = 0.5•mJFH

mJGH = 0.5•mJFH

Therefore;

mHJL = mJGH

Similarly

mGHJ = mKJG

Learn more about the tangent and secant of a circle here:

https://brainly.com/question/25871159

5 × 1 1/4
Do you know the answer?

Answers

The answer should be 6 1/4 :)
(If you’re looking for a decimal it’s 6.25)

Answer:

6 1/2 (mixed) or 25/4 (improper)

Step-by-step explanation:

Firstly, I made the mixed number an improper fraction; 5/4

Then I did the equation;

5/1 x 5/4 = 25/4

25/4 is 6.25 when divided, then made it a fraction; 6 1/4

Hope this helps!

Two times an integer minus 95 is equal to that integer divided by 6.​

Answers

I don’t even know bro

AB = 18, BC = 9, then AC = __

Answers

Answer:

AC=162/B

Step-by-step explanation:

AB= 18

A=18/B

BC=9

C=9/B

AC=18/B * 9/B

AC=162/B

GUYS PLS HELP
What kind of
drawing is this
figure?
A. A triangle
B. A perspective drawing
C. A cylinder
D. A net

Answers

B: A perspective drawing

Answer:

B. perspective drawing.

Step-by-step explanation: perspective drawings can be inspirational drawing and can be imagined and created to be like anything and can be anything.

Find the measure of the missing angle in this isosceles triangle.

Answers

The measure of the missing angle(a) in the isosceles triangle(two sides and angle equal) is 70 degrees.

What is an Isosceles triangle?

An Isosceles triangle is a triangle that has two of it sides equal to each other and two of it angles equal to each other.

The base angle of an isosceles triangle are equal. Therefore, let's find angle a in the triangle.

55 + 55 + a = 180

Recall the sum of angle in a triangle is 180 degrees.

110 + a = 180

subtract 110 from both sides

110 - 110 + a = 180 - 110

a = 70 degrees

learn more on Isosceles triangle here: https://brainly.com/question/4264350

There are 24 crayons in a box. How many boxes will be needed for 15 children if each child gets 12 crayons

Answers

Answer:

7.5

Step-by-step explanation:

15×12=180

180÷24(crayons per box)=7.5 boxes

Literacy
Fill in the missing letters to make Maths related words:
Venn
Set
Diagram
Universal
S_r_i_g
Event
Probability
Not

Answers

Answer:

Sorting

Step-by-step explanation:

If one side of a square is 12 inches, what is the perimeter and area of the parallelogram?

Answers

Answer:

P = 48in

Step-by-step explanation:

P=4a=4·12=48in

2. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for the balance of the account, then determine the amount of money in the account in 15 years.​

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}[/tex]

[tex]A=10000\left(1+\frac{0.085}{12}\right)^{12\cdot 15}\implies A=10000\left( \frac{2417}{2400} \right)^{180}\implies A\approx 35626.53[/tex]

A side of the triangle below has been extended to form an exterior angle of 124°. Find the value of x.

Answers

Answer:

56 degrees

Step-by-step explanation:

The angles x and 124 are supplementary angles, which means they add up to 180 degrees.

Thus,

We are left with this equation.

[tex]124 + x = 180[/tex]

Subtracting 124 from both sides, we are left with

[tex]x = 56[/tex]

Hope this helps.

Have a great day.  

need help will give the brainlest

Answers

Answer:

should be 4L

Step-by-step explanation:

there is 4 cups with 1L of water in them so you add them up to get the total amount .

Answer:

4 Liters

Step-by-step explanation:

1. Create Equation

1L+1L+1L+1L

2. Solve

1L+1L+1L+1L

1+1+1+1

2+1+1

2+2

4

3. Check

1+1+1+1=4

2+2=4

4=4

Correct

4. Answer

4L

Find the length of a picture frame whose width is 3 inches and whose proportions
are the same as a 9-inch wide by 12-inch long picture frame.

6 inches

Answers

Answer:

correct answer is 9 inches

Step-by-step explanation:

Nick did 780 push-ups in 30 days, how many push-ups did he do each day?Show all work and explain how you came to your answer.

Answers

780 divided by 30 = 26

Nick did 26 push-ups each day.

Why every values in maths has an approximation ?

( Example : The value of π,... )

Answers

Answer:

Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.

Answer:

Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.

Step-by-step explanation:

What is the solution to the equation t minus 15 = 76?
t minus 15 = 76. t minus 15 minus 15 = 76 + 15. t = 91.

t minus 15 = 76. t minus 15 + 15 = 76 + 15. t = 91.

t minus 15 = 76. t minus 15 minus 15 = 76 minus 15. t = 61.

t minus 15 = 76. t minus 15 + 15 = 76 minus 15. t = 61.

Answers

Answer:

4. / D.

Step-by-step explanation:

[tex]t-15=76\\t=76-15\\t=61[/tex]

Answer:

The answer is B

Step-by-step explanation:

I got it right

:-)

The swimming pool shown below has a 6 foot wide concrete deck around it.

What is the area, in square feet, of the deck around the pool?
O512
O720
O864
O1232

Answers

Answer:

0864

Step-by-step explanation:

The answer is 0864.

Hope it helps!

Study well!

7. Jack has a piece of string that is 48 in long. He divided it into 4 equal pieces of 1 foot each. What is the length of each piece of string?​

Answers

Answer:

12 inches

Step-by-step explanation:

1 foot=12inches

48/12=4

Each of those pieces are 1 foot meaning each string is 12 inches.

What does it mean to solve an equation?
Complete the statements.

The variable in the equation is represented by
To solve the equation you must find the
that makes the equation true.

is a solution of the equation because 5 = 5 is a true statement.

Answers

Answer: y, value of y, 9

Step-by-step explanation:

Answer:

1. Y

2. Value of Y

3. 9

Step-by-step explanation:

ANS FASTestttttttttttttttttttttttt

Answers

Answer:

x is 75° ........................

How many feet are in 1 yard?​

Answers

how many feet are in one yard?

=3 feet

Answer:

3 Feet

Step-by-step explanation:

Skyler is buying a new laptop on layaway for $275; If she pays $55 each week, how many weeks will it take Skyler to pay for the new laptop

Answers

he makes the minimum payment of $15 each month, it will take him 26 months

Question 1
Match each graph to the correct description of the number of solutions the system of equations has.

one solution

an infinite number of solutions

no solution

Answers

first graph - no solution
second graph - an infinite number of solutions
last one - one solution

NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
Write a division problem with 1/3 as the dividend and 3 as the divisor. Then find the quotient.

Answers

Answer:

1/9

Step-by-step explanation:

1/3 x 1/3 =1/9

so

1/3 divided by 1/3 is 1/9

what is the word for:

The solid, liquid, or gas through which sound travels:

Answers

Answer:

I believe your answer would be Soundis

Answer:

A material through which sound waves can travel is called a medium.


[tex]89 + 96[/tex]
please help me how to solve this ​

Answers

Rewrite as ;

[tex]{:\implies \quad \sf (80+9)+(80+16)}[/tex]

[tex]{:\implies \quad \sf (80+80)+(9+16)}[/tex]

[tex]{:\implies \quad \sf 2(80)+(25)}[/tex]

[tex]{:\implies \quad \sf 160+25}[/tex]

[tex]{:\implies \quad \boxed{\bf 185}}[/tex]

In August, 6.35 inches of rain fell. In September, 10.2 inches fell. In both October and November, 5.85 inches fell. How much rain fell from August through November?

A: 13.22 inch
B: 19.07 inch
C: 22.4 inch
D: 28.25 inch​

Answers

Answer:

28.25

Step-by-step explanation:

simple addition
6.35 + 10.2 + 5.85 + 5.85 = 28.25

ASAPPPPPPPPPPPP!!!!!!

Answers

Answer:

angle C measures 31 degrees.

Step-by-step explanation:

because when they are complementary, the two angles add up to 90 degrees and you know the measure of part of that 90 already, so its as simple as subtracting 90-59=31

Answer:

31

Step-by-step explanation:

complementary angles equal 90

90-59=31

32. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for the balance of the account, then determine the amount of money in the account in 15 years. Answer: Equation:​

Answers

Answer:

$25,626.53

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 8.5% into a decimal:

8.5% ->  -> 0.085

Now lets plug in the values into the equation

Lastly, subtract the total from the initial balance:

Michelle earned $25,626.53 in interest.

Other Questions
A bag has 16 blue marbles and 14 red marbles. John will randomly select 1 marble from the bag. What is the probability that he will select a red marble? * Guys i keep trying to get in touch with brainly but it says "your request could not be submitted" Can someone please help me ? Why do you think McCandless stayed so long and even considered settling in Bullhead City? do what it says on the image hello people ~Give the ratio in which hydrogen and oxygen are present in water by volume.(a) 1:2(b) 1:1(c) 2:1(d) 1:8 Please help 8, 9, and 10 you don't need to explain PLEASE HELP ill like!!!!!! Its 20 points A buffer was prepared containing 0.50 M formic acid (HCOOH) and 0.50 M sodium formate (NaCOOH). The Ka of formic acid is 1.7 x 10-4. What will be the pH after 0.010 mol of NaOH(s) is added to 100.0 mL of the buffer If A > B, then what is the relation between AC and BC? name a national park that is located in the Midwestern and development region HELLP ME DUE TODAYA coin is used to simulate the probability of parents having 1 boy and 1 girl if they have a total of two children. A head represents having a girl, and a tail represents having a boy. The coin is flipped twice for each trial. The first flip represents the first child, and the second flip represents the second child. The experiment was performed 12 times, and the results are recorded in the following table. Trial First Flip Second Flip 1 H H 2 H T 3 T H 4 H T 5 T T 6 H H 7 T H 8 H T 9 H H 10 T T 11 T T 12 H H Based on the simulation, what is the probability that parents will have 1 boy and 1 girl if they have a total of two children?Enter your answer as a reduced fraction, like this: 3/14 How many distinct subsets of the set $s=\{1,8,9,39,52,91\}$ have three-digit sums? In 1937, the war known as this began The video uses visual representations to show the generation and travel of radio waves. What did you learn about radio waves from these representations? Jumping rope can help develop better? o visiono hand/foot coordinationo cardiovascular endurance A rectangle has a perimeter of 20 cm. What will the perimeter be if the rectangle tripled in size?ITS A VOLUME QUESTION prepare similar postcard message for a friend who is abroad including your thrilling experience of camping/hiking. 7. In the years after the end of apartheid, Nelson Mandela worked to reconcile white and nonwhite South Africans, encouraging whites to remain in the country. Based on what you have learned previously, what do you think the pros and cons of this approach might be?PLEASEEEEEE HELLLLLPPPPPPP!!!! Select the helping verb.Did you notice the old, worn statues in the formal gardens? Punnett square for rr and rr parents