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3 years ago

Consider the trianglular region with vertices (0,0) (6,0) and (0,6). find the x and y coordinates of the centroid

1 answer:

kondor19780726 [428]3 years ago

6 0

Let A=(0,0)(x₁,x₂), B=(6,0)(x₂,y₂) and C=(0,6)(x₃,y₃)

Centroid of ΔABC is given by,

G(x,y) = [x₁+x₂+x₃/3 , y₁+y₂+y₃/3] = [0+6+0/3 , 0+0+6/3] = [2,2]

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scoray [572]

Answer:

$n=\frac{189}{104}$

Step-by-step explanation:

7−2(8n−3)=4(n−2)(22)

Step 1: Simplify both sides of the equation.

7−2(8n−3)=4(n−2)(22)

7+(−2)(8n)+(−2)(−3)=88n+−176(Distribute)

7+−16n+6=88n+−176

(−16n)+(7+6)=88n−176(Combine Like Terms)

−16n+13=88n−176

Step 2: Subtract 88n from both sides.

−16n+13−88n=88n−176−88n

−104n+13=−176

Step 3: Subtract 13 from both sides.

−104n+13−13=−176−13

−104n=−189

Step 4: Divide both sides by -104.

$-\frac{104n}{104} =-\frac{189}{104} \\n=\frac{189}{104}$

Answer:

$n=\frac{189}{104} \\$

Hope this helps

7 0

3 years ago

Solve for x. 2(x + 14) + x = 70a. 11b. 12c. 14d. 17

Mariulka [41]

Hello!

To solve for the variable x, we need to follow the rules of SADMEP. SADMEP is ONLY used when solving algebraic equations. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents, and parentheses. Also, when solving for x, our main goal is to isolate x to one side of the equation.

2(x + 14) + x = 70 (use the distributive property)

2x + 28 + x = 70 (simplify - add)

3x + 28 = 70 (subtract 28 from both sides)

3x = 42 (divide both sides by 3)

x = 14

When solving ANY algebraic equation, we need check our answer. To check your answer, you substitute the x-value, which is 14 in this case, into the original equation and solve using PEMDAS.

2(x + 14) + x = 70 (substitute x = 14)

2(14 + 14) + 14 = 70 (simplify the terms inside the parentheses)

2(28) + 14 = 70 (simplify - multiply)

56 + 14 = 70 (simplify - add alike term)

70 = 70 | This is correct!

Therefore, your final answer is x = 14, which is choice C.

6 0

3 years ago

This trapezoid-based right prism has a volume of 30 cm 3 30 cm 3 30, start text, space, c, m, end text, cubed.What is the area o

Ne4ueva [31]

The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

Calculation of the area

Here we assume

a = 6

b = 5

c = 1

Now we know that

<h3>What is the area of the trapezoid-based right prism?</h3>

$Area=\frac{(a+b)}{2} \times c$

$Area=\frac{(6+5)}{2} \times 1\\Area=\frac{11}{2}\\ Area=5.5\\Area=6$

= 6

Hence, The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

To learn more about an area here:

brainly.com/question/24682685

#SPJ1

5 0

1 year ago

What happens if you decide to cash in your Certificate of Deposit (CD) before its maturity date?

goblinko [34]

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation:

I have a book on this kinda stuff! :D

4 0

2 years ago

Help me on 1,2,3,5,and 6 please

arlik [135]

Since most of these are mixed number you have to convert them into improper fractions.
For an example 2 3/4 x 1/2
First you would have the convert 2 3/4
You would add 2 to 3 then multiply 2 to 4
So it would be (2x4) + 3
You keep the denominator of the originally fraction so it would be 11/4
Then to finish you would multiply straight across so
11x1= 11
4x2=8
11/8
1 3/8
Hope this helps!!

8 0

3 years ago