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 
Answer:
it is a polynomial
3a^2+a^2= 4a^2
4a^2+6
Step-by-step explanation:
3a^2 +a^2 = 4a^2+6
=4a^2+6
Answer: C. Y = 5x + 5
Step-by-step explanation:
We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. <em>See attached for a visual</em>.
First, we will find our slope. We will use 
for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.
-> Slope = 5
Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.
-> Y-intercept = 5
Lastly, we will write our equation and decide on an answer.
y = <em>m</em>x + <em>b</em>
y = (5)x + (5)
Y = 5x + 5
C. Y = 5x + 5
On month -------- 10%
12 month ---------- x %
-------------------------------
x = 12*10/1 = 12*10 = 120%
Answer:
2.7
Step-by-step explanation:
3% × 90 =
(3 ÷ 100) × 90 =
(3 × 90) ÷ 100 =
270 ÷ 100 = 2.7
