Answer:
angle G = angle I
HGI=HIJ by RHS fact
HGI=HIJ corresponding angles are alwyas congurrent
Answer:
Step-by-step explanation:
Given:
Length of ladder, y = 10 ft
θ = π/3 rad
Using cosine rule,
Sin θ = opposite/hypotenuse
Sin θ = x/y
Sin θ = x/10
Differentiating both sides with respect to dθ,
10 × cos θ × dθ = dx
10 cos θ = dx/dθ
dx/dθ = 10 × cos π/3
= 5 ft/radians.
Answer:
Step-by-step explanation:
x-intercepts are SOLUTIONS to a quadratic whereas when you put those solutions into factor form (in a set of parenthesis), you have the FACTORS of the quadratic. They are the same thing generally, they are just written in different forms. For example, if a solution to a quadratic is x = 3, it has been understood that x = 3 when y = 0. Therefore, if x - 3 = y and y = 0, then x - 3 = 0. Solving that for x, you get x = 3. That factor of x = 3 is (x - 3).
Following that logic, for a:
If the x intercepts are x = 0 and x = 3, it is understood that x + 0 = 0 so x = 0 and the factor is (x + 0) (it could also be x - 0 since adding 0 is the same as subtracting 0); if x = 3 it is understood that x - 3 = 0 and the factor is (x - 3).
For b:
If the x-intercepts are x = -1 and x = 1, then originally the factors were (x + 1) and (x - 1). Again, set each of those equal to 0 and solve for x (THE X-INTERCEPT EXISTS WHERE Y = 0!)
For c:
If the x-intercepts are x = -5 and x = 10, then originally the factors were (x + 5) and (x - 10).
For d:
If the x-intercept is a fraction, do the same thing:
x = 1/2 so
x - 1/2 = 0 Now multiply both the x and the 1/2 by a 2 to get the factor (2x - 1) and the other factor from x = 4 is (x - 4)
If my simplification is valid the answer is:
1.4 % growth each minute
I don’t feel like the representation
P = 120(1.82) is important in this certain problem.
So P the predicted number of bacteria is not practical with this problem.
Use the 82% per hour and divide it by 60 because there are 60 minutes in an hour.
When doing this you find the rate in which bacteria grows which is about 1.4%.
The prediction is about 1.82 percent for 120 something it’s not clarified, but I’m guessing that’s minutes.
So you can prove that the prediction is over the rate in which bacteria grows per minute.
