Answer:
(3/2,0)
Step-by-step explanation:
Substitute 0 for y and solve for x
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.
Given:
1 m : 25 cm
8 in : 1 ft
12 in : 1 ft
First, we convert each
variable given on the right:
1 m : 0.25 m (this means that
1 meter is made to represent 25 cm)
8 in : 12 feet (this means
that 8 in is made to represent 1 feet)
12 in : 12 in (this means
that 12 in is made to represent 1 feet)
<span>After converting the
variables, we can now know if the ratios are enlargement, reduction or
preservation. Therefore:
1 m : 25 cm = Enlarge</span>
<span>8 in : 12 feet = Reduce
12 in = 1 ft = Preserve</span>
The third one is the correct choice because the solutions are 2 and -2