Afew days after his birthday, a retired mathematics teacher was musing. he realised that his age was a prime number. he then noticed that a year ago, his age was the product of 3 distinct prime numbers and, a year hence his age would be the product of a square number, and a cube number. how old is he?

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

In the given triangle, ∠aed ∼ ∠ abc, ad = 6.9, ae = 7.2, de = 5.2, and bc = 10.2. find the measure of bd and ce. round your answer to the nearest tenth.

What’s 8y+48 and factor each expression completely