Please helppppp!! Find the midpoint of the segment with the following end points (-2,7) and (2,3)
Answers
Answer:
[tex] \huge{ \boxed{ \bold{ \tt( \: 0 \: ,5 \: )}}}[/tex]
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☞ First, Let's explore about Midpoint :
Midpoint of the segment simply means middle point of a line segment. Formula of Midpoint :
[tex] \boxed{ \sf{(x _{ \: m \: } ,\: y_{m}) = ( \frac{x_{1} + x_{2}}{2} ,\: \frac{y_{1} + y_{2}}{2} )}}[/tex]
where ,
[tex]( \sf{x_{ \: m \: } ,\: y _{ \: m \: })}[/tex] = co-ordinates of the midpoint[tex]( \sf{ x_{ \: 1 \: }, \: y_{ \: 1 \: }})[/tex] = co-ordinates of the first point[tex] \sf{(x _{ \: 2 \: } ,\: y_{ \: 2 \: })}[/tex] = co-ordinates of the second pointThe Midpoint Formula is used to find the exact center point between two defined points in a line segment. The Midpoint formula is quite simple , so you should easily be able to remember it. It won't matter which point you pick to be the 'first" point you plug in. Just make sure that you're adding both an x to an x and a y to a y. Hence, keep in mind , in order to find the midpoint of a line segment, the first step is to add both ' x - co-ordinates' and divide it by 2 and then the second step is to add both ' y - co-ordinates ' and divide it by 2.
Now, Let's solve it!
☯ Question :
Find the midpoint of the segment with the following end points ( - 2 , 7 ) and ( 2 , 3 ).☯ Step - by - step explanation :
Let P ( x , y ) divide the line joining the points A ( - 2 , 7 ) and B ( 2 , 3 ). Now, let :
A ( - 2 , 7 ) → ( x₁ , y₁ )B ( 2 , 3 ) → ( x₂ , y₂ )Apply midpoint formula , then plug the values and lastly simplify it :
[tex] \sf{ midpoint \: = \: ( \frac{x _{ \: 1 \: } + x _{ \: 2 \: }}{2} , \: \frac{y_{ \: 1 \: } + y _{ \: 2\: }}{2} })[/tex]
➺ [tex] \sf{midpoint = ( \frac{ - 2 + 2}{2}, \: \frac{7 + 3}{2} )}[/tex]
➺ [tex] \sf{midpoint = ( \frac{0}{2} , \: \frac{10}{2} )}[/tex]
➺ [tex] \boxed{ \sf{ midpoint = ( \: 0 \: , 5})}[/tex]
Hence , The midpoint of the segment with the end points A ( - 2 , 7 ) and B ( 2 , 3 ) is ( 0 , 5 ) .
Hope I helped!
Have a wonderful time ッ
~TheAnimeGirl ♡
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Related Questions
Marissa wants to blend candy selling for $1.80 per pound with candy costing $1.20 per pound to get a mixture that costs her $1.40 per pound to make. She wants to make 90 pounds of the candy blend. How many pounds of each type of candy should she use?
Answers
Answer: 30 lb of $1.80 candy
60 lb of $1.20 candy
Step-by-step explanation:
let ( x )represent the pounds of $1.80 candy.
Then 90-x will be pounds of $1.20 candy, • Total mix
= 1.80x + 1.20(90-x)
But because we the value to be same as 90 pounds of $1.40 per pound mix, so the equation
= 1.80x + 1.20(90 -x) = 1.40(90)
Simply the equation
= 1.80x + 108 - 1.20x = 126
= 0.60x + 108 = 126
0.60x = 126 - 108
0.60x = 18
divide both sides by 0.60
x = 30.
30 lb is the pounds of $1.80 candy
Substitute x into 90-x
90 - 30
= 60.
pounds of $1.20 candy Is 60 lb.
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[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the AP.
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Answer:
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Given mixed fraction is [tex]\boldsymbol{2\frac{4}{9}}[/tex]
[tex]2\frac{4}{9}=\frac{\left ( 9\times 2 \right )+4}{9}[/tex]
[tex]=\frac{22}{9}[/tex]
So, mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]
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Given that,
To Convert the mixed fraction to an improper fraction. 2 4/9
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
Her profit will increase be 6 dollars.
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Given that Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit.
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Answer:
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Answer:
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Answer:
-6 11/21
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given
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Time = 4years
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Step-by-step explanation: