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agasfer [191]
2 years ago
9

Hii can someone help with this pls :)

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
6 0

Answer:

R(x,y) = (0.8,-1.2)

Step-by-step explanation:

The coordinates of QS are:

Q(x_1,y_1) = (-2,-6)

S(x_2,y_2) = (5,6)

The ratio is represented as:

R_{m:n} = 2:3

Required

Find the coordinates of R

The coordinates of R is calculated by:

R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})

Substitute values for m, n, x's and y's

R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})

R(x,y) = (\frac{4}{5},\frac{-6}{5})

R(x,y) = (0.8,-1.2)

<em>None of the options is correct</em>

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What is BE ?<br> Please explain it in full dont just give me an answer
posledela
There are two methods to solve this problem. One of them is the typical method and the other one is the short-cut. I will explain the shortcut

Short-cut: 
This method is quick and easy, and works with ALL triangles, which is why I suggest you use this. You make proportions. Since the triangles are similar, we can use CPCTC. Thereafter,
\frac{AD}{CE}= \frac{DB}{EB}

Now, you just need to identify the terms, substitute, and solve for the unknown, which would be k. 

\frac{12}{3} = \frac{k+5}{k-7} \\ 12(k-7)=3(k+5) \\ 12k-84=3k+15 \\ 9k=84+15 \\ 9k=99 \\ k=11[/tex]

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Your answer is 4.





5 0
3 years ago
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