Answer:
X = 0.272
Step-by-step explanation:
Firstly, use a common log on the 25 to undo it. Secondly, use the log25(144) on the other side to get ~ 0.54. Move the 1 over with subtraction and then divide out the 2. This will leave you with X= 0.272
Average speed = (distance covered) / (time to cover the distance)
= (500 miles) / (6.7 hours)
= (500 / 6.7) (mile/hour)
= 74.63 miles per hour.
I imagine there were quite a number of pit stops included in that.
This is faster than I expected when I first read your question.
That's really gettin' with it for cars in 1911 !
A. A square is a special type of parallelogram, so every square is a parallelogram. A. is true.
B. Every parallelogram has two sets of opposite sides parallel, but not all angles are right angles. Only some parallelograms are rectangles, not all. B. is false.
C. A parallelogram with 4 congruent sides is a rhombus. A rhombus is a special type of parallelogram, so every rhombus is a parallelogram. C. is true.
D. A rectangle is a special type of parallelogram, so every rectangle is a parallelogram. D. is true.
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
Answer:
Incorrect
Step-by-step explanation:
The correct answer is A.
The slope-intercept form is y-y₁=m(x-x₁)
The problem with B is that if you take out the coordinates for x₁ and y₁, you get the coordinates (1,4). This coordinate does not land on the line.
The coordinates for A is (-1,4). This point does land on the line.