3 years ago

Which point is the incenter of the triangle?

Mathematics

1 answer:

marissa [1.9K]3 years ago

3 0

Answer:

C): D

Because you can easily see D is center of Incircle.

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If a + b + c.= 5 and ab + bc +ca = 10 , then prove that a3+ b3+ c3-3abc = -25

Alex Ar [27]

Start with

$(a+b+c)^3=a^3+b^3+c^3+3(a^2b+a^2c+ab^2+ac^2+b^2c+bc^2)+6abc$

Given that $a+b+c=5$ , we know $(a+b+c)^3=125$ .

Also, $ab+bc+ca=10$ , so

$a^2b+a^2c+ab^2+ac^2+b^2c+bc^2=a(ab+ac)+b(ab+bc)+c(ac+bc)$

$=a(10-bc)+b(10-ca)+c(10-ab)$

$=10(a+b+c)-3abc$

$=50-3abc$

So we have

$125=a^3+b^3+c^3+3(50-3abc)+6abc$

$125=a^3+b^3+c^3+150-9abc+6abc$

$\implies -25=a^3+b^3+c^3-3abc$

QED

3 0

3 years ago

1/6divid by 5 and I need help for my sis that is 2

elixir [45]

Answer:

The answer is 5/6

Step-by-step explanation:

1/6 x 5 is 5/6. You can do 1 x 5 which is 5. You don't need to multiply anything else. The answer is 5/6

6 0

4 years ago

Mario travels 180 miles in 2.5 hours if Mario travels at the same re how for can Mario travel in 7.5 hours

Andreyy89

Answer: 540

Step-by-step explanation:

2.5 x 3 is 7, so if he travels at the same rate, you must increase the miles by the same amount. So in this case its 180 x 3, which is 540.

8 0

4 years ago

Help please anyone ??

viva [34]

Answer:

x=83

Step-by-step explanation:

97+x=180

x=83

3 0

3 years ago

Read 2 more answers

2) 3=r+17<br> pls solve for r

Elan Coil [88]

Answer:

r = -14

Step-by-step explanation:

3 = r + 17

r + 17 = 3

r + 17 - 17 = 3 - 17

r = -14

6 0

3 years ago