<img src="https://tex.z-dn.net/?f=26%20-%202%2810%20-%201%29%20%2B%20%283%20%2B%204%20%5Ctimes%2011%29" id="TexFormula1" title="

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Molodets [167]

3 years ago

26 - 2(10 - 1) + (3 + 4 \times 11)" alt="26 - 2(10 - 1) + (3 + 4 \times 11)" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

$26-2\left(10-1\right)+\left(3+4\cdot 11\right)$

$26-(2)(9)+3+(4)(11)$

$26-18+3+(4)(11)$

$8+3+(4)(11)$

$8+3+44$

$8+47$

$55$

"55 is correct answer".

Hope this helps!

Thanks!

-Charlie

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We have that
A(-2,-4) B(8,1) 

let
M-------> the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3

we know that

A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
distance MB is equal to (3/5) AB
so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
Mx=-2+(2/5)*10-----> Mx=2

step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2

the coordinates of point M is (2,-2)

see the attached figure