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:
950 miles
the problem states that Mr. Lopez drove 77 more miles so just add 873+77 to get 950 miles
Answer:
0,1,2 and 3
Step-by-step explanation:
let the first number be b
therefore the second,third and fourth numbers are b+1,b+2 and b+3
b+b+1+b+2+b+3=b+6
4b+6=b+6
4b-b=6-6
3b=0
b=0
Answer:
D, B, F
Step-by-step explanation:
$2 each pound
x= pounds
y= total cost
1 pound= $2
the $2 : constant
the number of pounds: variable
the equation is y=2x
1 pound: $2
2 pounds: $4
4 pounds: $8
5 pounds: $10
these also could be written as coordinates
the coordinates are (1,2),(2,4),(4,8),(5,10)