3 years ago

What is the solution?

Mathematics

1 answer:

sesenic [268]3 years ago

7 0

Answer:

C that is the answer hope I helped you guys

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Find the point that is 1/5 the way from A to B where<br> A(-7,4) and B(3, 10).

mestny [16]

Answer:

The coordinates of the point that is 1/5 the way from A to B is $(x,y) = (-5,\frac{26}{5})$

Step-by-step explanation:

Here, the given points are: A (-7,4) and B (3,10)

Let us assume the point M(x,y) on AB is such that

AM : AB = 1 : 5

⇒ AM : (AB - AM) = 1 : (5-1) = 1: 4

⇒ AM : MB = 1 : 4

Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

$(x,y) = (\frac{m_2x_1+m_1x_2}{m_1+m_2} ,\frac{m_2y_1+m_1y_2}{m_1+m_2} )$

Here, in the given equation, m1: m2 = 1:4

So, the coordinates M(x,y) is given as:

$(x,y) = (\frac{(-7)(4) + 1 (3)}{1+ 4} ,\frac{4(4) + 1(10)}{1+4} )\\\implies (x,y) = (\frac{-28+3}{5} ,\frac{16+10}{5} ) = (\frac{-25}{5} ,\frac{26}{5} )\\\implies (x,y) = (-5,\frac{26}{5} )$

Hence, the coordinates of the point that is 1/5 the way

from A to B is $(x,y) = (-5,\frac{26}{5})$

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3 years ago

Can’t figure it out

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

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-22 points is what she lost

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