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2 years ago

What are the coordinates of the centroid of a triangle with vertices

2 answers:

6 0

$\bf ~~~~~~~~\textit{Centroid of a Triangle}\\\\
\begin{array}{llll}
P(x_1,y_1)\quad Q(x_2,y_2)\quad R(x_3,y_3)\\ \quad \\
\left(\cfrac{x_1+x_2+x_3}{3}\quad ,\cfrac{y_1+y_2+y_3}{3}\quad \right)
\end{array} ~~ \begin{array}{llll}
P(-4,-1)\quad Q(2,2)\quad R(2,-3)\\ \quad \\
\left(\cfrac{-4+2+2}{3}\quad ,\cfrac{-1+2-3}{3}\quad \right)
\end{array}$

IceJOKER [234]2 years ago

4 0

First let's find the lengths if the sides:
$PQ = 3 \sqrt{5} \\ pr = 2 \sqrt{13} \\ qr = 5$

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What number is its own oppoite

SashulF [63]

The number that is its own opposite is zero. Zero is both a positive and a negative number at the same time.

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2 years ago

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The expression 148 – 24d gives the number of pizzas a store has in stock, where d is the number of days. How many pizzas will th

Feliz [49]

Explanation

A function is defined as a relation between a set of inputs having one output each,in this case our independent variable is the number of days( d) and the dependent variable would be the number of pizzas

Step 1

let the function

$\begin{gathered} P=148-24d \\ where\text{ P is the number of pizzas } \\ and\text{ d is the number of days} \end{gathered}$

therefore, to know the number of pizzas are in the stock after 5 days we need to evaluate the equation for d=3

$\begin{gathered} P=148-24d \\ let\text{ d=5 and evaluate} \\ P=148-24(5) \\ P=148-120=28 \\ P=28 \end{gathered}$

so, after five day there willbe 28 pizzas in stock

I hope this helpsyou

6 0

9 months ago

If sin(A+B)=1/2 & sin(A-B)=1/3 find sin(2A)

timofeeve [1]

Answer:

sin(2A) = (2√2 + √3) / 6

Step-by-step explanation:

2A = (A+B) + (A−B)

sin(2A) = sin((A+B) + (A−B))

Angle sum formula:

sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)

sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)

Pythagorean identity:

sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]

sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)

sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)

sin(2A) = 1/3 √2 + 1/6 √3

sin(2A) = (2√2 + √3) / 6

6 0

2 years ago

Terry is an up-and-coming florist who specializes in weddings. He uses 5 roses, 3 daisies, and 4 bundles of green filler to make

weeeeeb [17]

If r is the cost of roses which he use 5 d is daisies which he used 3 and f is green filler and he used 4 the cost of 75 more is 234

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2 years ago

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the height of a stack of books ,h inches,is directly proportional to the number of books, n.Tbe height of a stack of 10 books is

kotegsom [21]

Step 1

$\begin{gathered} \text{Height(h)}\propto number\text{ of books(n)} \\ H\propto n \\ \text{Adding k the constant of proportionality} \\ H\text{ = kn} \\ k=\frac{H}{n} \end{gathered}$

Step 2

A)Find the constant of proportionality K when n = 10 books and h = 12 inches

$k=\frac{12}{10}=1.2$

Step 3

B) Write an equation that relates H and n by substituting for k

$H=1.2n$

Step 4

C) Find the height, H of the stack of 24 books

$\begin{gathered} H\text{ }=\text{ 1.2 }\times24 \\ H=28.8\text{inches} \end{gathered}$

8 0

3 months ago