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3 years ago

Which point of concurrency is the center of gravity in a triangle

Mathematics

1 answer:

ipn [44]3 years ago

3 0

Answer: centroid
Reasoning: The centroid is the point of concurrency of the three medians in a triangle.

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1 a. A truck is carrying orange juice, mango juice, and peach juice bottles in a ratio of

sattari [20]

84/6 = 14 mango juice bottles

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3 years ago

Plz..... Solve this questions for me...

faust18 [17]

$6.\\\text{We know}\ 9=3^2.\ \text{Therefore}\\\\9^2=(3^2)^2\\\\\text{use}\ (a^n)^m=a^{nm}\\\\9^2=(3^2)^2=3^{2\cdot2}=3^4\\\\\boxed{3^4=9^2}\\=================$

$7.\\METHOD\ 1:\\\\\sqrt{7^4}=\sqrt{7^{2\cdot2}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(7^2)^2}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=\boxed{7^2}\\\\METHOD\ 2:\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt{7^4}=7^\frac{4}{2}=\boxed{7^2}\\=================$

$8.\\5^a\times5^b=5^{11}\\\\a)\\\text{use}\ a^n\times a^m=a^{n+m}\\\\5^a\times5^b=5^{a+b}\\\\5^{a+b}=5^{11}\Rightarrow a+b=11\\\\11\ \text{is odd. The sum of even and odd is odd. Therefore}\ a\ \text{and}\ b\ \text{can't be even.}\\--------------------\\\\b)\\5\ \text{solutions}\\\\11=5+6\\11=4+7\\11=3+8\\11=2+9\\11=1+10$

3 0

3 years ago

The equation 3/x=5/7 is equivalent to the equation

katrin2010 [14]

Answer:

Step-by-step explanation:

3/x=5/7 is the same as A 21=5x Both equal to 21/5 or 4 1/5

7 0

3 years ago

What is 7p-(-5)+(-1)

nika2105 [10]

7p-(-5)+(-1)
7p+5-1
7p+4

7 0

3 years ago

Read 2 more answers

Explain: What is the solution to this system of equations? <br><br> 2x+y=20 <br> 6x-5y=12

bazaltina [42]

Answer:

solution set is (x,y) = (7,6)

Step-by-step explanation:

solving by substitution method

2x +y=20--------------1

6x-5y=12---------------2

from equation 1, solve for y

2x+y=20

y= 20-2x------equation 3

adding value of y in equation 2

6x-5y=12

6x-5(20-2x)=12

6x-100+10x=12

16x= 12+100

16x= 112

x= 112/16

x=7

adding value of x in equation 3

y= 20-2x

y= 20- 2(7)

y=20-14

y=6

so solution set (x,y) = (7,6)

3 0

3 years ago