Basically you find the data points and fill in the values. For Point J it is (2,4). They want you to do this: (2-4,4-6)...it then becomes (-2,-2).
So
J: (-2,-2)
K: (-1, -4)
I: (-2, -5)
Those are your new points. I hope this helps love! :)
So for the cranberry muffin, for every 12 (a dozen) it's $3
Banana nut muffin: for every 12, it's $4.32
take the $3 and divide it by 12 which is $0.25 for every cranberry muffin
take $4.32 divide by 12 and you get $0.36 for every banana nut muffin
so $0.25 + $0.36 = $0.61
Therefore the answer is B
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:
$ 14.9
Step-by-step explanation:
we can create an equation
use variables:
pies = p
sauce = s
3.5p + 0.45s
3.5 (4) + 0.45(2)
<u>= $ 14.9</u>
Answer: She bought 28 daises and 10 Tulips.
Step-by-step explanation:
Let x represent the number of daises bought.
Let y represent the number of tulips bought.
Your friend want to have 38 of her favorite flowers. This means that
x + y = 38
Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that
1.5x + 2.5y = 67 - - - - - - - - - - - - 1
Substituting x = 38 - y into equation 1, it becomes
1.5(38 - y) + 2.5y = 67
57 - 1.5y + 2.5y = 67
- 1.5y + 2.5y = 67 - 57
y = 10
x = 38 - y = 38 - 10
x = 28