1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Julli [10]
3 years ago
12

What’s the distance between (4,-9) and (5,3)

Mathematics
2 answers:
laila [671]3 years ago
7 0

Answer: Distance = √145

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

<u>Given information</u>

(x₁, y₁) = (4, -9)

(x₂, y₂) = (5, 3)

<u>Given formula</u>

Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

<u>Substitute values into the formula</u>

Distance = \sqrt{(5-4)^2+(3+9)^2}

<u>Simplify values in the parentheses</u>

Distance = \sqrt{(1)^2+(12)^2}

<u>Simplify exponents</u>

Distance = \sqrt{1+144}

<u>Simplify by addition</u>

Distance = \sqrt{145}

Hope this helps!! :)

Please let me know if you have any questions

expeople1 [14]3 years ago
5 0

Answer:

\boxed {\boxed {\sf \sqrt {145} \ or \ 12.04}}

Step-by-step explanation:

The distance between 2 points is calculated using the following formula.

d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2)

In this formula, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

We know the two points are (4, -9) and (5,3). If we match the values of the points and the coordinating variable, we see that:

  • x₁ = 4
  • y₁= -9
  • x₂ = 5
  • y₂ = 3

Substitute the values into the formula.

d= \sqrt { ( 5 -4)^2 + ( 3 --9)^2

Solve inside the parentheses.

  • (5-4)= 1
  • (3 --9) = (3+9) = 12

d= \sqrt {(1)^2 + (12)^2}

Solve the exponents.

  • (1)² = 1 *1 = 1
  • (12)² = 12 * 12 = 144

d= \sqrt{ 1+144}

Add.

d= \sqrt{145

Take the square root.

d=12.04159458

Let's round to the nearest hundredth. The 1 in the thousandth place tells us to leave the 4 in the hundredth place.

d \approx 12.04

The distance between the 2 points is <u>√145 or approximately 12.04.</u>

You might be interested in
Which expression is equivalent to 1/2x+(−7)−2 1/4x−(−2
Lynna [10]

The equivalent expression to the given expression is \mathbf{=-(\dfrac{7}{4}x+5)}

<h3>What is an algebraic expression?</h3>

Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).

From the given expression, we are to determine an expression that is equivalent to:

=\dfrac{1}{2}x + (-7) -2 \dfrac{1}{4}x -(-2)

To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.

By doing so, we have:

=\dfrac{1}{2}x -7 -\dfrac{9}{4}x +2

=\dfrac{1}{2}x -\dfrac{9}{4}x +2 -7

=\dfrac{1}{2}x -\dfrac{9}{4}x -5

=-\dfrac{7}{4}x-5

\mathbf{=-(\dfrac{7}{4}x+5)}

Learn more about solving algebraic expressions here:

brainly.com/question/4344214

#SPJ1

5 0
2 years ago
Carrie made a square tablecloth with an area of 169 square inches. What was the length of each side of the tablecloth?
rusak2 [61]
Well I figured it out and I came up with 13 square inches. you can find this out by doing the square root of 169. I hope this help :).
3 0
3 years ago
Solve |2x + 1| = 10
Ivan
By definition of absolute value we have two equalities:
 2x + 1 = 10
 2x + 1 = -10
 For 2x + 1 = 10:
 
2x + 1 = 10
 2x = 10-1
 2x = 9
 x = 9/2
 For 2x + 1 = -10:
 
2x + 1 = -10
 2x = -10-1
 2x = -11
 x = -11 / 2
 Answer:
 
{-11/2, 9/2}
3 0
3 years ago
Please help me and plz explain thoroughly i need help asap!
guajiro [1.7K]

f(x) = 2(x+8)

replace f(x) with 12 and then solve for x:

12 = 2(x +8)

Use the distributive Property on the right side:

12 = 2x +16

Subtract 16 from each side:

-4 - 2x

Divide both sides by 2:

x = -4 / 2

x = -2

5 0
3 years ago
Read 2 more answers
Part A: Factor 5x2b2 + 14xb2 − 3b2. Show your work. (4 points) Part B: Factor x2 − 18x + 81. Show your work. (3 points) Part C:
NARA [144]
Part A is accomplished by first factoring out the b^2 to getb^{2} (5 x^{2} +14x-3).  Factor that completely using the quadratic formula to get b^{2} (x+3)(5x-1).  Part B is done entirely with the quadratic formula (only cuz that's the easiest way to factor a second degree polynomial!) to get (x-9)(x-9) or (x-9) multiplicity 2.  Part C is done by taking roots.  Keep in mind that since this is a second degree polynomial you will have 2 solutions. x^{2} -121=0, therefore, x^{2} =121 and x=+/- \sqrt{121} which is +11 and -11.  And you're done! Factoring is very important...make sure you learn it and learn it well!!!

6 0
3 years ago
Other questions:
  • A square rug has an area 100 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
    13·1 answer
  • Please help me with this math problem
    12·2 answers
  • Translate each sentence into a formula
    9·1 answer
  • 6 = -5 -x solve for x
    15·1 answer
  • MIDDLE SCHOOL MATH <br>help
    12·2 answers
  • What is 20% of 800, if 10% of 800 is 80?
    11·2 answers
  • Pls help me on this question
    14·2 answers
  • If you work 14 hours a week but have 6 hour shifts how many days would you work
    15·2 answers
  • Factories the following<br> 5a + 5b
    11·2 answers
  • a construction company is building a house based on the picture. The scale from picture to real house is 1 inch= 8 feet the heig
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!