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 (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

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 (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
  1. Given Points: We have: \newlinePoints: (2,7)(2, 7) and (5,3)(5, 3) \newlineFind the values of x1x_1, x2x_2, y1y_1, and y2y_2 from the given points. \newlinex1=2x_1 = 2 \newliney1=7y_1 = 7 \newlinex2=5x_2 = 5 \newliney2=3y_2 = 3
  2. Distance Formula: We know: \newlineDistance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \newlinex1=2x_1 = 2, y1=7y_1 = 7, x2=5x_2 = 5, and y2=3y_2 = 3 \newlineSubstitute the values of x1x_1, y1y_1, x2x_2, y2y_2 in the distance formula. \newlined=(5−2)2+(3−7)2d = \sqrt{(5-2)^2 + (3-7)^2}
  3. Simplify Calculation: Simplify (5−2)2+(3−7)2(5-2)^2 + (3-7)^2. \newline(5−2)2+(3−7)2(5-2)^2 + (3-7)^2 \newline= 32+(−4)23^2 + (-4)^2 \newline= 9+169 + 16 \newline= 2525
  4. Find Distance: We have: \newlined=25d = \sqrt{25} \newlineFind the distance between the points (2,7)(2,7) and (5,3)(5,3). \newline25=5\sqrt{25} = 5 \newlineDistance between the points (2,7)(2,7) and (5,3)(5,3) is 55 units.

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 (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 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
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.\newlineTime\newlineelapsed\newlinePAUSED\newlineSmartScore\newlineout of 100100\newline00
Get tutor helpright-arrow

Posted 7 hours ago

Question
Reread lines 1212−17-17. What adjectives used to describe Chicago revea he poet's attitude toward the residents of the city? Describe his attitude
Get tutor helpright-arrow

Posted 7 hours ago

Question
Consider the following quadratic function.\newlinef(x)=−2x2−8x−13 f(x)=-2 x^{2}-8 x-13 \newline(a) Write the equation in the form f(x)=a(x−h)2+k f(x)=a(x-h)^{2}+k . Then give the vertex of its graph.
Get tutor helpright-arrow

Posted 7 hours ago

View all (8)