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solniwko [45]
3 years ago
12

Line segment AB has endpoints A(7, 4) and B(2, 5). Find the coordinates of the point that divides the line segment directed from

A to B in the ratio of 1:3. A) (7, 7 2 ) B) ( 9 2 , 5) C) ( 13 4 , 13 2 ) D) ( 23 4 , 17 4 )
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0

Answer:

(23/4, 17/4)

Step-by-step explanation:

The vector from A to B is ...

... V = B - A = (2-7, 5-4) = (-5, 1)

Point P that divides AB the way you want is 1/4 of that from A:

... P = A + (1/4)×V = (7, 4) + (-5/4, 1/4)

... P = (5 3/4, 4 1/4) = (23/4, 17/4)

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Answer:

1/4

Step-by-step explanation:

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3 years ago
Simplify cos^4x+2cos^2xsin^2x+sin^4x
KonstantinChe [14]

Answer: 1

Step-by-step explanation:

5 0
2 years ago
What is the equation of the line that passes through (4,3) and (-4,-1)?
german
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 4 &,& 3~) 
%  (c,d)
&&(~ -4 &,& -1~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-3}{-4-4}\implies \cfrac{-4}{-8}\implies \cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=\cfrac{1}{2}(x-4)
\\\\\\
y-3=\cfrac{1}{2}x-2\implies y=\cfrac{1}{2}x+1
6 0
3 years ago
Urgent please help..
Strike441 [17]

Answer:

b = 7√3

Step-by-step explanation:

This 30°- 60°- 90° triangle has the proportions:

side opposite of the 30° angle = x

side opposite of the 60° angle = x√3

side opposite of the 90° angle = 2x

____________________________

Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.

Since x = 7, x√3 = 7√3, and therefore

b = 7√3.

8 0
2 years ago
What is 31 = -4v - 5?
FrozenT [24]
31 = -4v - 5

31 (+5) = -4v -5 (+5)

36 = -4v

36/(-4) = -4v/(-4)

36/ -4 = v

v = -9 is your answer

hope this helps
4 0
3 years ago
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