Answer:
The right answer to your question is the third option
Step-by-step explanation:
5 √12xm³
First find the prime factors of 12
12 2
6 2
3 3
1 Then 12 = 2² 3
and m³ = m m²
So 5 √ 2² 3 x m m²
and 5 (2)(m) √ 3xm
10 m √ 3xm
Answer:
D
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 5, - 12)
r = 
= 
= 
= 
= 13 → D
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Step-by-step explanation:
previous =£400
present=£504
percentage=(£504-£400)/£504*100
=104/£504*100
=20.63%
