If a + b + c = 18 and a2 + b2 + c2 = 134, find the value of ab + bc + caSelect an answerA458B229C190D95
Question
If a + b + c = 18 and a² + b² + c² = 134, find the value of ab + bc + ca
Select an answer
A) 458
B) 229
C) 190
D) 95
Solution
To solve this problem, we can use the formula (a+b+c)² = a² + b² + c² + 2(ab+bc+ca).
Given that a + b + c = 18 and a² + b² + c² = 134, we can substitute these values into the formula:
(18)² = 134 + 2(ab+bc+ca) 324 = 134 + 2(ab+bc+ca)
Subtract 134 from both sides:
190 = 2(ab+bc+ca)
Finally, divide both sides by 2 to solve for ab+bc+ca:
ab+bc+ca = 190/2 = 95
So, the answer is D. 95.
Similar Questions
If a + b + c = 18 and a2 + b2 + c2 = 134, find the value of ab + bc + caSelect an answerA458B229C190D95
In the figure below, B lies between A and C.Find the location of B so that AB is 16 of AC.A−27C3B?
The number a is 190% greater than the number b. The number bis 80% less than 24. What is the value of a?
The product of two numbers is 144, and their sum is 24. What are the two numbers?
A, B and C are integers and represent the digits of the numbers given below.If 6ABC + 6BC + 7C = 6670,then B = ?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.