Explanation:
The expression is given below as

Concept:
We will apply the bsolute rule below

By applying the concept, we will have

Hence,
The final answer is
Answer:
$512
Step-by-step explanation:
If each crown is 2 dollars, then 256 x 2 would be the answer. The answer would be 512.
Answer:
A translation by 1 units to the right and 3 units down.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Component form of a vector is given by
, where
represents change in x-value and
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector
, the magnitude is
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being
, one leg being
, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:

To find the other leg,
, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

Verify that
Therefore, the component form of this vector is 