When you see "is the same", that means the left side of the equation equals the right side.
4 times a number. Set up 4x.
Increased by 2. Add 2 to set up 4x + 2.
10 more than 2 times is 2x + 10.
Solve for x: 4x + 2 = 2x + 10
:)
Answer:
Step-by-step explanation:
-11
Answer:
points on the boundary line: (0, 10), (20, 0)
solution points not on the boundary line: (100, 100)
Step-by-step explanation:
We cannot tell from the posted picture whether the boundary line is solid or dashed, so the answer above is split into two parts. If the boundary line is solid (x+2y≥20), all three listed points are in the solution set. If the boundary line is dashed (x+2y>20), only (100, 100) is in the solution set
Answer:
−1/cotθ
1/cot(−θ)
tan(−θ)
Step-by-step explanation:
The tangent function is a the ratio for an angle defined as opposite / adjacent. A negative applied to −tan θ will give the opposite value. This is also true for the function when taken on a negative angle. tan(−θ) = −tan θ. This identity is also true for sin, sec, and cot. Recall that cotangent is the reciprocal of tangent and is defined as the ratio adjacent / opposite. Taking the reciprocal of cotangent will be the same as tangent. Using this information the following are equivalent:
1/cotθ
−1/cotθ ----> The reciprocal of Cot is Tan
1/cot(−θ)
----> The reciprocal of Cot is Tan and cot(−θ) = −cot θ.
−1/cot(−θ)
tan θ
tan(−θ)----> tan(−θ) = −tan θ
A fraction in simplest form I believe would be 5/18