answer:If (m - 8) is a factor of m^2 - hm - 24, then by the factor theorem, the polynomial m^2 - hm - 24 must equal zero when m = 8. Let's substitute m = 8 into the polynomial: (8)^2 - h(8) - 24 = 0 64 - 8h - 24 = 0 40 - 8h = 0 Now, let's solve for h: 8h = 40 h = 40 / 8 h = 5 Therefore, the value of h is boxed{5} .

answer:**Analysis** This question mainly examines the properties of sine and cosine functions. **Solution** Let's consider when T=pi, we have f(x+pi)=sin(x+pi)|cos(x+pi)|=-sin x|cos x| neq f(x), When T=2pi, we have f(x+2pi)=sin(x+2pi)|cos(x+2pi)|=sin x|cos x|=f(x), Therefore, the minimum positive period is 2pi. Hence, the answer is boxed{2pi}.

answer:Given that a is the opposite of 2, we have: 1. a = -2 because being the opposite means taking the negative value. 2. Then, we calculate a + 2 as follows: [ a + 2 = -2 + 2. ] 3. Simplifying the expression, we get: [ -2 + 2 = 0. ] Therefore, the correct answer is boxed{D}.

answer:If the total cost of the mountain cabin and the land is 30,000 and the cabin itself costs 6,000, then the cost of the land is 30,000 - 6,000 = 24,000. To find the ratio of the land cost to the cabin cost, we divide the land cost by the cabin cost: Land cost / Cabin cost = 24,000 / 6,000 = 4 So the ratio of the land cost to the cabin cost is boxed{4:1} .