Answer:
A
Step-by-step explanation:
One easy way to determine if a coordinate is a function or not is to look at the number in the x's place only. There should not be the same number on the x's side for a different pair.
Every pair has a different number on the x's side, which is why A is the only possible answer.
Answer:
The correct answer is y = 20x.
Step-by-step explanation:
Answer:
The answer to your question is letter D
Step-by-step explanation:
Rational equation
Simplify
Cancel the denominators and expand
3x² + 1 + x² - x = 4x - 4 + 4
Simplify
4x² - x + 1 - 4x = 0
4x² - 5x + 1 = 0
Factor
4x² - 4x - 1x + 1 = 0
4x(x - 1) - 1(x - 1) = 0
(4x - 1)(x - 1) = 0
x₁ = 1/4 x₂ = 1
You would be right with 26 because the absolute value of -30 is 30 then you subtract 56-30 and get 26 which is the remaining temp you need to get to 56.
Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that
<em>u</em> = 4 cos(45°) <em>x</em> + 4 sin(45°) <em>y</em>
<em>v</em> = 2 cos(135°) <em>x</em> + 2 sin(135°) <em>y</em>
where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.
Then the sum is
<em>u</em> + <em>v</em> = (4 cos(45°) + 2 cos(135°)) <em>x</em> + (4 sin(45°) + 2 sin(135°)) <em>y</em>
and its magnitude is
||<em>u</em> + <em>v</em>|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)
… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))
… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))
… = √(16 + 16 cos(135° - 45°) + 4)
… = √(20 + 16 cos(90°))
… = √20 = 2√5
