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:

J(4,5)J(4,5) and K(10,9)K(10,9) are the endpoints of a line segment. What is the midpoint MM of that line segment?\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Midpoint formula: find the midpointright chevron icon

Full solution

Q. J(4,5)J(4,5) and K(10,9)K(10,9) are the endpoints of a line segment. What is the midpoint MM of that line segment?\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)
  1. Identify Midpoint Formula: Identify the midpoint formula for a line segment.\newlineThe midpoint of a line segment with endpoints (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula:\newlineMidpoint M=(x1+x22,y1+y22)M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).
  2. Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints J(4,5)J(4,5) and K(10,9)K(10,9). Substitute (4,5)(4, 5) for (x1,y1)(x_1, y_1) and (10,9)(10, 9) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(4+102,5+92)M = \left(\frac{4 + 10}{2}, \frac{5 + 9}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(4+102,5+92)=(142,142)=(7,7)M = \left(\frac{4 + 10}{2}, \frac{5 + 9}{2}\right) = \left(\frac{14}{2}, \frac{14}{2}\right) = (7, 7).

More problems from Midpoint formula: find the midpoint

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 2 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 1 month 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 3 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 3 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 3 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 2 months ago

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

Posted 2 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 2 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 2 months ago

Question
Use the distributive property to write an equivalent expression.\newline7(2x+4y−5) 7(2 x+4 y-5) \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

View all (84)