Answer:
Step-by-step explanation:
substitute x = r*cos(θ), y = r*sin(θ) ==> r²(cos²(θ) + sin²(θ)) = 2r²cos(θ)sin(θ). Cancel the r² on both sides. On the left, use pythagorean identity cos²(θ) + sin²(θ) = 1. On the right apply double angle identity sin(2θ) = 2cos(θ)sin(θ).
This yields 1=sin(2θ). (I assume you meant to type sin(2θ) on the right hand side of the equation).
Step-by-step explanation:
Answer:
2x - 19
Step-by-step explanation:
Perimeter = sum of sides
First let's simplify each side
We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.
2(x + 5)
Distribute by multiplying x and 5 by 2
2 * x = 2x and 2 * 5 = 10
2x + 10
1/2(4x + 8)
Distribute by multiplying 4x and 8 by 1/2
1/2 * 4x = 2x and 1/2 * 8 = 4
2x + 4
-3(2x + 11)
Distribute by multiplying 2x and 11 by -3
-3 * 2x = -6x
-3 * -33
-6x - 33
Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )
2x + 10 + 2x + 4 - 6x - 33
Combine like terms
2x + 2x - 6x = -2x
10 + 4 - 33 = -19
Perimeter: -2x - 19
Answer:
The correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3
Step-by-step explanation:
Consider the provided information.
Point P on the number line shows Lara's score after the first round of a quiz:
Point P is shown on 3.
That means after the first round her total was 3.
In round two, she lost 4 points.
Therefore, she score −4 points in 2nd round
To find the total points at the end of round 2, we need to add -4 to 3.
3+(−4)=−1
Here −1 is 4 units to the left of 3.
Hence, the correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3
line up your decimals and then multiply like usual, next count how many places after the decimal your problem(s) was and place it to your answer