Answer:
9
Step-by-step explanation:
Just substitute the value of x onto the x variables in the equation
; 4(1)^2 + 5(1)
; 4 + 5
; 9
Divide the 30 from the 4 and you will get 7.5 and then divide the 45 from the 2 and you will get 22.5 and then times 7.5 by 9 and then you will get 67.5 and then do the same with the 22.5 with the 6 and then add them up and you will get 202.5
Circumference: 21.991 feet
Area: 38.485 feet
You find slope by having two coordinates okay, for example the two could be ( 1,3 ) & (2,4) theres a x1, y1 which 1 is x1 and y1 is 3. and there’s x2 and y2 where x2 is 2 & y2 is 4. and now you use this equation m= y2-y1 / x2-x1 where m means slope. and there’s your answer. so for the example i put the answer would be 1. because 4-3 = 1 over 2-1 = 1. so that’s 1 over 1. which is just one. please tell me if this explanation helped!
Factor the following:
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)