Answer:
see explanation
Step-by-step explanation:
using the trigonometric identities
• sin2x = 2sinxcosx
• cos2x = 2cos²x - 1
• sin²x + cos²x = 1
sinx = ± 
= ± 
= ± 
= ± 
= ± 
since sinΘ > 0 then sinΘ = = 
sin2Θ = 2 × × - 
= - 
cos2Θ = 2 × (- )² - 1
= 2 × 
- 1
= 
- 1 = 
= 
Answer is:9x^2-12y^2-11x in other words D
Explanation: find all the common variables and combine. In this case since your adding adding you would add 8x^1 and x^2 to get 9x^ then add -9y^2 and -3y^2 to get -12y^2. And so on to get the rest of the problem. One tip to help make this simpler is circle one type of variable like circling all the x^2, boxing all the y^2, and underlining all the x. Hope this helps
Let r represent the radius of cylinder.
We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be 
.
We will use lateral surface area of pyramid to solve our given problem.
, where,
LSA = Lateral surface area of pyramid,
r = Radius,
h = height.
Upon substituting our given values in above formula, we will get:
Now we will find the total surface area of cylinder.
Therefore, the ratio of total surface area to lateral surface area is 
.
Answer:
Exponential
Step-by-step explanation:
This equation represents an exponential function because it will have exponential growth. The equation has a variable as an exponent which causes exponential growth. If it were linear there would be constant growth and a common difference.
Answer:
y ≤ 3/2 x - 3.
Step-by-step explanation:
4(x + y) - 10 ≥ x + 6y - 4
4x + 4y - 10 ≥ x + 6y - 4
4y - 6y ≥ x - 4x - 4 + 10
-2y ≥ -3x + 6
y ≤ 3/2 x - 3. (Note the inequality sign is reversed because we are dividing by a negative value)).
