Yo guys help pls i really need help!!!!!!!!!!!!!!!!!!!!!! BTW I NEED THE ASNSWER ASAP

Mathematics

1 answer:

ivanzaharov [21]2 years ago

3 0

Answer:

(4,12)

Step-by-step explanation:

If you see in the box all the numbers are multiplied 3 times and in the choice of a,b,c,d only the value of a is multiplied 3 times so that's the answer.

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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:

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