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PolarNik [594]
4 years ago
10

Given points A(-7, 4) and B(5, 12), find the point P that partitions directed line segment top enclose A B end enclose in the ra

tio of 3:1. Type your answer as an ordered pair (x,y).
Mathematics
1 answer:
Akimi4 [234]4 years ago
6 0

Answer:

Therefore,

P(x,y)=(2,10)

Step-by-step explanation:

Given:

Let Point P ( x , y ) divides Segment AB in the ratio 3 : 1 = m : n (say)

point A( x₁ , y₁) ≡ ( -7 , 4)  

point B( x₂ , y₂) ≡ (5 , 12)  

To Find:  

point P( x , y) ≡ ?  

Solution:  

IF a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as

x=\dfrac{(mx_{2} +nx_{1}) }{(m+n)}\\ \\and\\\\y=\dfrac{(my_{2} +ny_{1}) }{(m+n)}\\\\

Substituting the values we get

x=\dfrac{(3\times 5 +1\times -7) }{(3+1)} \ \ \ and\ \ \ y=\dfrac{(3\times 12 +1\times 4) }{(3+1)}\\\\\\\therefore x = \dfrac{8}{4}=2 \ \ and\ \ \therefore y = \dfrac{40}{4}=10\\\\\\\therefore P(x,y) = (2 , 10)

Therefore,

P(x,y)=(2,10)

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Reika [66]

Answer:

it's 0

Step-by-step explanation:

Simplify 3√a0x2√15

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apply radical rule √a√a=a

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4 0
4 years ago
What quadratic function does the graph represent?
nekit [7.7K]

Answer:

f(x)=-\frac{1}{3}(x-2)^2+4,

Step-by-step explanation:

The function of the graph can be written in the vertex form as

f(x)=a(x-h)^2+k, where V(h,k)=V(2,4) is the vertex of the quadratic function.

We substitute the value to obtain;

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The point (5,1) lies on the graph so we use it to determine the value of a.

1=a(5-2)^2+4,

1-4=a(3)^2,

-3=9a,

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The required equation is

f(x)=-\frac{1}{3}(x-2)^2+4,

5 0
3 years ago
Which number has the greatest absolute value?<br> a. –20<br> b. 10<br> c. 0<br> d. –10
stich3 [128]
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4 0
3 years ago
I am not understanding this question.
vredina [299]

Answer:

boardgamegeek.com/boardgame/245655/kings-dilemma

Step-by-step explanation:

7 0
4 years ago
8x = 8+2(x-10)+3x hurry please ill give you brain lesst
rewona [7]

Answer:

x = -4

Step-by-step explanation:

8x = 8 + 2(x-10) + 3x

simplify

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simplify again

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3 years ago
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