Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
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<h3>vector components</h3>
The components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
<h3>graphically</h3>
The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
Answer:
Step-by-step explanation:
(-1,5) (0,2)
y2= 2, y1 = 5, x2 = 0, x1 = -1
Slope m = [y2 - y1]/[x2 - x1]
m = {2 - 5}/{0+1}
m = -3/1
m = -3
And
y - y1 = m(x - x1)
y - 5 = -3(x + 1)
y - 5 = -3x - 3
y = -3x - 3 + 5
y = -3x + 2
Write and solve an equation of ratios:
vinegar 0.25 x
------------ = --------- = -----------
dressing 1.00 2 cups
Cross multiply. We get 0.5=x. Sue needs to use 1/2 cup of vinegar and 1 1/2 cups of the other ingredient(s).
I’m sort of confused. Do you mean how many cups of fruit juice she’ll get if she uses 2 cups of pineapple juice? If so it should be 3.