Answer:
A <u>postulate</u> is accepted to be true without proof, while a <u>theorem </u>is an assertion that can be proven using the rules of logic.
Explanation:
In mathematics, a postulate is a statement that is considered to be true without looking for any proof of that statement. Other hypotheses or statements can be tested using a postulate as a standard. A postulate is not only significant in mathematics but also plays an important role in understanding the concept of physics.
A theorem can be described as a statement that can be proved right by using logical pieces of evidence.
Answer:
x= 3
y= 3
Step-by-step explanation:
Step: Solve−x+y=0 for y:
−x+y=0
−x+y+x=0+x (Add x to both sides)
y=x
Step: Substitute x for y in 4x−3y=3:
4x−3y=3
4x−3x=3
x=3 (Simplify both sides of the equation)
Step: Substitute 3 for x in y=x:
y=x
y=3
Answer:
-49x - 18 is the final answer!
Answer:
600 is the answer
Step-by-step explanation:
I literally just took the test! Hope dis helps.
Answer:
1. sinα = +2√5/5 2. cosα = +√5/5 3. cotα = +1/2 4. secα = +√5 5. cosecα = +√5/2.
Step-by-step explanation:
1. Since tan(α) = 2 and 1 + cot²α = cosec²α
1 + 1/tan²α = 1/sin²α
1 + 1/2² = 1/sin²α
1 + 1/4 = 1/sin²α
5/4 = 1/sin²α
sinα = ±√(4/5)
sinα = ±2/√5
sinα = ±2√5/5
Since 0<α<π/2, sinα = +2√5/5
2. sin²α + cos²α = 1
(2/√5)² + cos²α = 1
4/5 + cos²α = 1
cos²α = 1 - 4/5
cos²α = 1/5
cosα = ±1/√5
cosα = ±√5/5
Since 0<α<π/2, cosα = +√5/5
3. cotα = 1/tanα = 1/2
Since 0<α<π/2, cotα = +1/2
4. secα = 1/cosα = 1/±1/√5 = ±√5
Since 0<α<π/2, secα = +√5
5. cosecα = 1/sinα = 1/±2/√5 = ±√5/2
Since 0<α<π/2, cosecα = +√5/2