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:
The area of a rhombus is 
square units.
Step-by-step explanation:
Side length of rhombus = 6 units.
Interior angle of rhombus = 120°
another Interior angle of rhombus = 180°-120° = 60°.
Draw an altitude.
In a right angled triangle
Multiply both sides by 6.
The height of the rhombus is 
.
Area of a rhombus is
Therefore, the area of a rhombus is square units.
Answer:
1256 cm
Step-by-step explanation:
First we must find the perimeter, because the perimeter is equal to 1 revolution.
The perimeter of any circle is Pi(Diameter)
3.14*20
62.8 cm is the perimeter of the bike wheel.
Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:
1256 cm
If we let x be the price for soft tacos and y be that of double deckers,
then from the question, we'll have
3x + 3y = 11.25
x + y = 11.25/3
x + y = 3.75 (1)
in addtion, we also have
4x + 2y = 10.00
2x + y = 5.00
y = 5.00 - 2x (2)
<span>Substituting y from equation (2) into equation (1),
x + (5.00 - 2x) = 3.75
-x = 3.75 - 5.00
x = 1.25
y = 5.00 - 2(1.25) = 2.50
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