All categories

3 years ago

P is the centroid of triangle MNO. MP=14x+8y. write expressions to represent PR and MR number 22 on sheet

Mathematics

1 answer:

gavmur [86]3 years ago

7 0

Answer:

PR = 7x +4y
MR = 21x +12y

Step-by-step explanation:

The centroid is 1/3 the distance from the side to the opposite vertex. Hence ...

... PR = (1/3)(MP + PR)

... 3PR = MP + PR . . . . . . multiply by 3

.. 2PR = MP . . . . . . . . . . . subtract PR

... PR = MP/2 = (14x +8y)/2 . . . . . divide by 2, substitute for MP

... PR = 7x +4y

Of course, MR = MP + PR, so ...

... MR = (14x +8y) + (7x +4y)

... MR = 21x +12y

You might be interested in

2. LIST THREE DIFFERENT TYPES OF ORGANISMS THAT USE CELLULAR RESPIRATION? MAKE THEM AS DIFFERENT AS POSSIBLE.

OLEGan [10]

<h2>1) Plants</h2><h2>2) Animals</h2><h2>3) Humans</h2>

7 0

3 years ago

The area of a rectangle is 120m squared the length of the rectangle is 15m what is the width?

jeka57 [31]

Area of a rectangle = <em>width × length
</em>Width of a rectangle = $\frac{Area}{Length}$ <em>
</em><em />The width of this rectangle = $\frac{120}{15}$
= 8 cm

3 0

3 years ago

5x + 4m = 43my + 6 solve for m

pav-90 [236]

9514 1404 393

Answer:

m = (5x -6)/(43y -4)

Step-by-step explanation:

Subtract 4m+6 to separate m-terms from other terms.

5x +4m -(4m +6) = 43my +6 -(4m +6)

5x -6 = 43my -4m

5x -6 = m(43y -4) . . . . factor out m

(5x -6)/(43y -4) = m . . . . divide by the coefficient of m

7 0

3 years ago

out of 18 people in the glee club, 11 have dogs and 7 have cats. four people have both cats and dogs. how many club members have

Maslowich

$Ans.\ 3\ people\ have\ only\ cats$

6 0

3 years ago

Read 2 more answers

3x -4y -2 +2x+6 simplify each expression

jasenka [17]

Answer:

5x-4y+4

Step-by-step explanation:

3x-4y-2+2x+6

Gathers like terms together:

3x+2x= 5x

-4y= -4y

-2+6= 4

Put it together:

5x-4y+4

8 0

3 years ago