![Jaaaack](/avatars/39960.jpg)
Jaaaack
26.01.2021 •
Mathematics
A line segment has the endpoints (-7, -4) and (9,8). What are the coordinates of the midpoint
of this line segment?
A. (2, 4)
B.
(-1,2)
C. (-1,-6)
D.
(-8, 2)
E.
(-2,-4)
F.
(1, 2)
Solved
Show answers
More tips
- P Philosophy What is Something for you?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
Answers on questions: Mathematics
- M Mathematics Acopy machine makes 165 copies in three minutes and 45 seconds how many copies of them make per minute...
- M Mathematics Pls help me i will mark brainlist !! :)...
- M Mathematics Solve for w: 7w -42...
- M Mathematics Section 1: Selected Response - Question 2Which equation or equations are true? 1.) 3/10 + 15/100 = 18/1002.) 4/10 + 32/100 = 72/1003.) 7/10 + 2/100 = 27/100 4.) 6/10 + 27/100...
- M Mathematics How much are these coins worth?...
- M Mathematics The hu family goes out for lunch, and the price of the meal is $45. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total...
- M Mathematics Will mark brainliest please help me with...
- M Mathematics Use the drop-down menus below to state the sequence of transformations that maps Figure Q onto Figure R in the animation below. Then use those transformations to determine: are...
- M Mathematics What number is 150% more than 2/3...
- M Mathematics How do i evaluate 5/8-(1/4^2...
Ответ:
F
Step-by-step explanation:
to find x coordinate for midpoint, add both the x coordinates then divide by two. we get x=1
to find y coordinate for midpoint, add both the y coordinates then divide by two. we get y=2
so the coordinates of midpoint is (1,2), which is F
Ответ:
We have, a. ortho (ab) = a.b - a.b/[a]² . /a/²
The /a/² cancel off each other, therefore,
a. ortho (ab) = a.b - a.b
a. ortho (ab) = 0
Therefore, the final result is 0.
Step-by-step explanation:
It should be noted that the orthogonal projection of a vector B onto A is given by a given formula known as:
proJ(ab) = a.b/[a]² . a equation (1)
Where [a] is the magnitude of the vector a,
therefore, [a]² = a.a equation (2)
Which means that if we have a dot product between a vector and the sum of vector, it can be distributed to each vector.
That is : a . (c - d + b )
a.b - a.d + a.b equation (3)
and since it is given that Ortho (ab) = b - proJ(ab)equation (4)
and in order to show that a two vector are orthogonal, we need to show that their dot product is zero.
Where : a.b = /a//b/ cos ( Ф)
and if the dot product is zero (0), this will imply that ,
cos (Ф) = 0
Now moving forward to the proof,,
The first thing we do is substitute equation (1) into equation (4)
That will give us : ortho (ab) = b - a.b/[a]² . a
and in order to show that vector a and orth(ab) are orthogonal, we need to show that their dot is zero
Therefore, a . ortho (ab) = a . b - a.b/[a]² . a equation (5)
Now, substituting equation (2) into (5),
We have, a. ortho (ab) = a.b - a.b/[a]² . /a/²
The /a/² cancel off each other, therefore,
a. ortho (ab) = a.b - a.b
a. ortho (ab) = 0
Therefore, the final result is 0.