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3 years ago

5

Which system of equations is represented by the matrix below?

1 answer:

algol133 years ago

3 0

Answer:

C

Step-by-step explanation:

the x,y matrix will have the form of some x coefficient value, some y coefficient value and then the answer. if one of these values are missing you use a 0 as placeholder. look at the coefficients here. you know one equation will have an x coefficient of 2 and a y coefficient of -3 with a solution of 8 and the other equation will have x coefficient of 5 and no y at all with a solution of 10. only option c meets these criteria

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Find the centroid of the triangle with these vertices: P (-1,7), Q (9,5), and R (4,3).

Mumz [18]

Answer:

The coordinates of the centroid are:

$O\:=\:\left(4,\:5\right)\:\:$

The diagram is also attached below.

Step-by-step explanation:

Given the vertices

P (-1, 7)

Q (9, 5)

R (4, 3)

We know that the intersection of medians brings the centroid of the triangle.

The centroid of a triangle is given by

$O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)$

In this example,

$P_x=-1,\:P_y=7$

$Qx=9,\:Q_y=5$

$Rx=4,\:R_y=3$

substituting in the formula

$O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:$

$O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:$

$O\:=\:\left(4,\:5\right)\:\:$

Therefore, the coordinates of the centroid are:

$O\:=\:\left(4,\:5\right)\:\:$

The diagram is also attached below.

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