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 (0,3)(0,3) and (8,9)(8,9).\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
Algebra 1right chevron icon
Distance between two pointsright chevron icon

Full solution

Q. Find the distance between the points (0,3)(0,3) and (8,9)(8,9).\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline______ units
  1. Identify Coordinates and Formula: Identify the coordinates of the two points and the formula to use.\newlineWe have the points (0,3)(0,3) and (8,9)(8,9). To find the distance between two points in a plane, we use the distance formula: (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}.
  2. Substitute into Distance Formula: Substitute the coordinates into the distance formula.\newlineUsing the points (0,3)(0,3) as (x1,y1)(x_1, y_1) and (8,9)(8,9) as (x2,y2)(x_2, y_2), we get:\newlineDistance =((8−0)2+(9−3)2)= \sqrt{((8-0)^2 + (9-3)^2)}.
  3. Calculate Differences and Squares: Calculate the differences and square them.\newlineCalculate (8−0)2(8-0)^2:\newline(8−0)2=82=64(8-0)^2 = 8^2 = 64.\newlineCalculate (9−3)2(9-3)^2:\newline(9−3)2=62=36(9-3)^2 = 6^2 = 36.\newlineNow we have:\newlineDistance = 64+36\sqrt{64 + 36}.
  4. Add and Find Square Root: Add the squares and find the square root.\newlineAdd 64+3664 + 36 to get 100100.\newlineNow take the square root:\newlineDistance = 100=10\sqrt{100} = 10.\newlineThe distance between the points (0,3)(0,3) and (8,9)(8,9) is 1010 units.

More problems from Distance between two points

Question
Find the sum of the first 99 terms in the following geometric series.\newlineDo not round your answer.\newline64+32+16+… 64+32+16+\ldots
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the sum of the first 77 terms in the following geometric series. Do not round your answer.\newline1024+512+256+… 1024+512+256+\ldots
Get tutor helpright-arrow

Posted 3 months ago

Question
Vector u⃗ \vec{u} has an initial point (−5,−8) (-5,-8) and a terminal point (6,2) (6,2) .\newlineFind the components of vector u⃗ \vec{u} .\newlineu⃗=(□,□) \vec{u}=(\square, \square)
Get tutor helpright-arrow

Posted 8 months ago

Question
Vector b⃗ \vec{b} has an initial point (−2,7) (-2,7) and a terminal point (9,4) (9,4) .\newlineFind the components of vector b⃗ \vec{b} .\newlineb⃗=□,□) \vec{b}=\square, \square)
Get tutor helpright-arrow

Posted 9 months ago

Question
The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is 22.66 .\newlineWhich is the principal value of arctan⁡(2.6) \arctan (2.6) ?\newlineChoose 11 answer:\newline(A) −111.0∘ -111.0^{\circ} \newline(B) 69.0∘ 69.0^{\circ} \newline(C) 249.0∘ 249.0^{\circ} \newline(D) 429.0∘ 429.0^{\circ}
Get tutor helpright-arrow

Posted 9 months ago

Question
The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is −16-16 .\newlineWhich is the principal value of arctan⁡(−16) \arctan (-16) ?\newlineChoose 11 answer:\newline(A) −626.4∘ -626.4^{\circ} \newline(B) −446.4∘ -446.4^{\circ} \newline(C) −266.4∘ -266.4^{\circ} \newline(D) −86.4∘ -86.4^{\circ}
Get tutor helpright-arrow

Posted 9 months ago

Question
Use the distributive property to write an equivalent expression.\newline4(f−2g+1) 4(f-2 g+1) \newlineAnswer:
Get tutor helpright-arrow

Posted 8 months ago

Question
Use the distributive property to write an equivalent expression.\newline9(g+3) 9(g+3) \newlineAnswer:
Get tutor helpright-arrow

Posted 8 months ago

Question
Use the distributive property to write an equivalent expression.\newline3(2n+10p−4) 3(2 n+10 p-4) \newlineAnswer:
Get tutor helpright-arrow

Posted 8 months ago

Question
Use the distributive property to write an equivalent expression.\newline4(4k−7m+10) 4(4 k-7 m+10) \newlineAnswer:
Get tutor helpright-arrow

Posted 8 months ago

View all (140)

Related topics

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