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3 years ago

Simplify the rational expression. State any restrictions on the variable.

Mathematics

2 answers:

german3 years ago

5 0

Simplify the rational expression. State any restrictions on the variable.

A. t + 4; t ≠ 8 B. - t + 4; t ≠ - 8 C. t - 4; t ≠ - 8 D. - t - 4; t ≠ 8
I think it would be C.

11111nata11111 [884]3 years ago

4 0

T^2 -4t -32 = (t+4)(t-8)

so

t^2 -4t -32
-------------
t-8

= (t+4)(t-8)
--------------
t-8

= t+4

answer is A. t + 4; t ≠ 8

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What are the coordinates of the centroid of a triangle with vertices P(−4, −1) , Q(2, 2) , and R(2, −3) ?

Alenkasestr [34]

Answer:

$(x,y)=(0,\frac{-2}{3})$

Step-by-step explanation:

Given : Vertices of Triangle $P(x_1,y_1)=(-4,-1)$ , $Q(x_2,y_2)=(2, 2)$ and $R(x_3,y_3)=(2,-3)$

To find : Centroid of a triangle

The centroid of a triangle is the point of intersection of the three medians of the triangle.

The formula to calculate the centroid of a triangle is:

$(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

Where, $x_1,x_2,x_3,y_1,y_2,y_3$ are the coordinates of the centroid

Substituting the values in the formula gives us:

$(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

$(x,y)=(\frac{-4+2+2}{3},\frac{-1+2-3}{3})$

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Therefore, $(x,y)=(0,\frac{-2}{3})$

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IRISSAK [1]

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