Mapping Rule A mapping rule has the following form (x,y) → (x−7,y+5) and tells you that the x and y coordinates are translated to x−7 and y+5. Translation A translation is an example of a transformation that moves each point of a shape the same distance and in the same direction.
Answer:-5
Step-by-step explanation:
2x+3=-7
2x=-7-3
x=-10/2
so,
x=-5
(1 h)/(11 qt) * (12 qt)/(1 barrel) * (120 barrels/pickup) * (1 day)/(24 h)
.. = 12*120/(11*24) day/pickup
.. = 5 5/11 days/pickup
120 barrels will be filled every 5 5/11 days. Some trips will be 5 days apart, some trips will be 6 days apart.
This problem involves using the Pythagorean Theorem which is a^2+b^2=c^2
We already have the values of a and c, but b is unknown. So we plug in: 11^2+b^2=20^2
121+b^2=400
b^2=279
b=sqrt(279)
b=16.7
So the answer is about 16.7 ft
Hope this helped!
Answer:
the matrix described in the question is a linearly independent matrix, and linearly dependent matrix has a unique solution. <em>see further explanation below</em>
Step-by-step explanation:
For any matrix to have a pivot column in all its column, it means that the matrix must be linearly dependent
Thus, as the columns are linearly independent , the system of equation have a unique solutions
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