Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the distance between the points (4,3)(4,3) and (8,6)(8,6). Write your answer as a whole number or a fully simplified radical expression. Do not round.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Geometryright chevron icon
Distance formularight chevron icon

Full solution

Q. Find the distance between the points (4,3)(4,3) and (8,6)(8,6). Write your answer as a whole number or a fully simplified radical expression. Do not round.
  1. Identify Coordinates: Identify the coordinates of the two points.\newlineWe have Point A (4,3)(4, 3) and Point B (8,6)(8, 6). We need to find the distance between these two points.\newlineLet's denote the coordinates as follows:\newlinex1=4x_1 = 4, y1=3y_1 = 3 (for Point A)\newlinex2=8x_2 = 8, y2=6y_2 = 6 (for Point B)
  2. Apply Formula: Apply the distance formula.\newlineThe distance dd between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula:\newlined=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\newlineNow we will substitute the values of x1x_1, y1y_1, x2x_2, and y2y_2 into the formula.
  3. Substitute Values: Substitute the values into the distance formula.\newlined=(8−4)2+(6−3)2d = \sqrt{(8 - 4)^2 + (6 - 3)^2}\newlineThis simplifies to:\newlined=(4)2+(3)2d = \sqrt{(4)^2 + (3)^2}
  4. Calculate Squares: Calculate the squares of the differences.\newline(4)2=16(4)^2 = 16\newline(3)2=9(3)^2 = 9\newlineNow we add these two values.\newlined=16+9d = \sqrt{16 + 9}
  5. Add and Find Root: Add the results and find the square root.\newline16+9=2516 + 9 = 25\newlined=25d = \sqrt{25}\newlineThe square root of 2525 is 55.\newlined=5d = 5

More problems from Distance formula

Question
Find the distance between the points (6,0)(6,0) and (3,4)(3,4). Write your answer as a whole number or a fully simplified radical expression. Do not round.
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the distance between the points (3,1)(3,1) and (9,9)(9,9). Write your answer as a whole number or a fully simplified radical expression. Do not round.
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the distance between the points (5,6)(5,6) and (1,3)(1,3).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the distance between the points (2,7)(2,7) and (5,3)(5,3). Write your answer as a whole number or a fully simplified radical expression. Do not round.
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify the expression. Write your answers using integers or improper fractions.\newline−72w+4(−5w+12) -\frac{7}{2} w+4\left(-5 w+\frac{1}{2}\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify the expression. Write your answers using integers or improper fractions.\newline12(32q−5q−5)−3q \frac{1}{2}\left(\frac{3}{2} q-5 q-5\right)-3 q \newlineAnswer:
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify the expression. Write your answers using integers or improper fractions.\newline−3k+12(32k−3) -3 k+\frac{1}{2}\left(\frac{3}{2} k-3\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 8 months ago

Question
You pick a card at random, put it back, and then pick another card at random.\newline44\newline55\newline66\newline77\newlineWhat is the probability of picking a number greater than 55 and then picking a 44 ?\newlineWrite your answer as a percentage.
Get tutor helpright-arrow

Posted 1 month ago

Question
Jeanne's bank account earns interest annually. The equation shows her starting balance of $500\$500 and her balance at the end of three years, $546.36\$546.36. At what rate rr did Jeanne earn interest?\newline546.36=500(1+r)546.36 = 500(1 + r)
Get tutor helpright-arrow

Posted 1 month ago

Question
Jeanne's bank account earns interest annually. The equation shows her starting balance of $350 \$ 350 and her balance at the end of three years, $422.78 \$ 422.78 . At what rate r did Jeanne earn interest?\newline422.78=350(1+r)3422.78=350(1+r)^{3}
Get tutor helpright-arrow

Posted 1 month ago

View all (8)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant