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 (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

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 (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
  1. Identify Coordinates: Identify the coordinates of the two points.\newlineWe have the points (5,6)(5, 6) and (1,3)(1, 3). Let's denote these points as follows:\newlinePoint A (x1,y1)=(5,6)(x_1, y_1) = (5, 6)\newlinePoint B (x2,y2)=(1,3)(x_2, y_2) = (1, 3)
  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}
  3. Substitute Values: Substitute the values into the distance formula.\newlineUsing the coordinates from Step 11, we get:\newlined=(1−5)2+(3−6)2d = \sqrt{(1 - 5)^2 + (3 - 6)^2}
  4. Calculate Differences: Calculate the differences and square them.\newline(1−5)2=(−4)2=16(1 - 5)^2 = (-4)^2 = 16\newline(3−6)2=(−3)2=9(3 - 6)^2 = (-3)^2 = 9
  5. Add Squares: Add the squares of the differences.\newline16+9=2516 + 9 = 25
  6. Take Square Root: Take the square root of the sum to find the distance.\newlined=25=5d = \sqrt{25} = 5

More problems from Distance formula

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

Posted 2 months ago

Question
Find the distance between the points (4,3)(4,3) and (8,6)(8,6).\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 2 months ago

Question
Find the distance between the points (3,1)(3,1) and (9,9)(9,9).\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 2 months ago

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

Posted 2 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 1 month 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 1 month 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 2 months ago

Question
56x856x8
Get tutor helpright-arrow

Posted 8 hours ago

Question
11) 2x−3=x+2 2 x-3=x+2
Get tutor helpright-arrow

Posted 8 hours ago

Question
1+32+41 + \frac{3}{2} + 4
Get tutor helpright-arrow

Posted 8 hours ago

View all (8)