Answer:
Step-by-step explanation:
(-2)(1)(3)(-1) - (1)(3)(-1)(-2)
6 - 6 = 0
Use the cross product to find the orthogonal vector, solve the parametric equation to see at which (t) the point + orthogonal vector intersects the plane, the distance is (t) * norm of vector
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.
Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:
12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24
It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
Twenty seven minus ten plus four
Answer:
E
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
8x + 15 is an external angle of the triangle, thus
8x + 15 = 3x + 20 + 4x + 5, that is
8x + 15 = 7x + 25 ( subtract 7x from both sides )
x + 15 = 25 ( subtract 15 from both sides )
x = 10
Thus none of them on the list → E
