Answer:
a² + 2ah + 3a + 3h + 5 + h²
Step-by-step explanation:
to evaluate f(a + h) substitute x = a + h into f(x)
f(a + h)
= (a + h)² + 3(a + h) + 5 ← distribute
= a² + 2ah + h² + 3a + 3h + 5
Answer:
Step-by-step explanation:
using sine formula
let ∠ADB=y
then ∠CDB=180-y
∠DAB =180-(35+y)

We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:
5x² - 5x - 100 let the problem equal to zero such as:
5x² - 5x - 100 = 0 , factor out 5 from the given trinomial
5(x²-x-20) = 0
5 (x-5)(x+4) = 0
The correct factor is 5(x-5)(x+4).
Answer:
The fourth line will have 15 marbles
Step-by-step explanation:
The third line has 7 marbles. So, you double that and add one in order to find the number of marbles in the fourth line.
7*2=14
14+1=15
16x² - 8x + 1 = (4x)² - 2 · 4x · 1 + 1² =(4x - 1)²
Used: (a - b)² = a² -2ab + b²