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:
There are 203069 people in the crowd
Step-by-step explanation:
The first step in solving this problem is to ensure that we are working with the same units throughout the solution process. To do this, we will have to convert 4 miles to feet. (<em>This is because every other unit is in feet).</em>
<em>Note: ( 1 mile =5280 feet)</em>
4 miles = 21120 feet.
The next step is to calculate the area that the entire parade is occupying. This can be done by multiplying the length of the parade by the breadth. In this case, it will be 21120ft X 5 ft = 105600 square feet.
We can now at this point, find the area occupied by only one person.
if 13 people occupy 25 square feet <em>(5ft X5 ft)</em>
1 person will occupy 25/13 = 1.92 square feet
We can finally get the number of people in the crowd by multiplying the area occupied by the whole crowd by the area of one person. This will be
105600 X 1.92= 203069 people in the crowd
Answer:
11.7
Step-by-step explanation:
add all the numbers then divide the answer with the number of how many numbers they are
12 +15+ 6+ 8 +12+17 +10+8+ 7+ 13+ 14 +16 +8+18+11=175
175/15=11.6666666667
round the answer to the nearest whole number=11.7
Answer:
V = (-5, 2)
Step-by-step explanation:
Translating it left or right changes the X value, while up and down changes the Y. Which means (-2, 2) translated 3 units left would be (-5, 2)
