Answer:
11 cm, 19 cm, 27 cm
Step-by-step explanation:
Triangles have 3 sides and perimeter is the sum of all side lengths. So the equation is x + (2x-3) + (2x+5) = 57.
x + (2x-3) + (2x+5) = 57
x + 2x - 3 + 2x + 5 = 57
x + 2x + 2x - 3 + 5 = 57
5x + 2 = 57
5x = 57 -2
5x = 55
x = 11
Now that we know the value of x, we can figure out the side lengths. The first side (x) is 11 cm long, the second side (2x - 3) is 19 cm, and the third side (2x + 5) is 27 cm long.
Answer:
Part A: after 9 days the radius of the algae would be 12.81mm so the domain is 9. you would plot the domain at (0,9)
Part B: the y-intercept (the 9) represents the amount of algae the experiment started off with.
Part C: the rate of change is 0.
Step-by-step explanation:
Answer: 22
Step-by-step explanation: Perimeter of a rectangle is 2H + 2B = P
if each side has 28 feet then 28* 2 = 56. We take 100 - 56 = 44. Then we take 44/2 to find one remaining side = 22.
50% since you have a half chance of getting 1 to 4 and other half is 4-8
Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
