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 (1,6)(1,6) and (4,2)(4,2).\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 (1,6)(1,6) and (4,2)(4,2).\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline______ units
  1. Distance Formula Explanation: To find the distance between two points in a coordinate plane, we use the distance formula, which is derived from the Pythagorean theorem. The distance formula is: (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}. For the points (1,6)(1,6) and (4,2)(4,2), we have (x1,y1)=(1,6)(x_1, y_1) = (1, 6) and (x2,y2)=(4,2)(x_2, y_2) = (4, 2).
  2. Calculate X-coordinate Difference: First, we calculate the difference in the x-coordinates: (4−1)2(4-1)^2. This gives us (3)2=9(3)^2 = 9.
  3. Calculate Y-coordinate Difference: Next, we calculate the difference in the y-coordinates: (2−6)2(2-6)^2. This gives us (−4)2=16(-4)^2 = 16.
  4. Add Squares of Differences: Now, we add the squares of the differences in the xx and yy coordinates to find the square of the distance: 9+169 + 16.\newlineThis gives us 2525.
  5. Find Square Root: Finally, we take the square root of the sum to find the distance: 25\sqrt{25}. This gives us 55.

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