Answer with explanation:
It is given that, point W (-4, 7) is translated to W'(-2,4).
The Student Wrote this translation rule as:
(x,y)→(x-3, y+2)
So,if we apply the translation rule in W ,then
W(-4,7)→W'(-4 -3, 7 +2)=W'(-7, 9)
We are not getting the original coordinates of point after applying this translation rule.
So,the translation rule that student wrote is incorrect.
So,the translation rule should be ,
(x,y)→(x+2,y-3)
that is , W(-4,7)→W'(-4+2,7-3)=W'(-2,4)
it is 0.25 / 1 cause everytime you use 1 with dividing or multiply , it comes out the same like 10 * 1 = 10 hope this helps
The time-duration "63-months" in years can be expressed as 5.25 years.
To determine the length of 63 months in years, we divide 63 by the number of months in a year, which is 12.
Dividing 63 by 12 yields a quotient of 5 with a remainder of 3.
This means that 63 months is equivalent to 5 years and 3 months.
To express it completely in years, we consider the fraction of the year represented by the remaining 3 months.
Since there are 12 months in a year, 3 months is equivalent to 3/12 which 1/4 of a year = 0.25 year.
Therefore, 63 months is approximately 5.25 years.
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4*-9+-4= -40
-36-4= -40
-40=-40
I hope that's help:)
a = 4i + 3j, b = -4i + 4j
The required dotproduct of the given vector is given as -4.
Given that,
a = 4i + 3j, b = -4i + 4j
a • b is to be determined.
The dot × of twovectors is described as the sum of the products of the relevant directionalvector.
Here,
a.b = (4i + 3j).(-4i + 4j)
a.b = 4×-4 (i.i) + 3×4 (j.j) + 4×4 (i.j) + 3×-4(i.j)
a.b = -16 + 12
a.b = -4 (since i.j or j.i for dot product gives zero.)
Thus, the required dotproduct of the given vector is given as -4.
Learn more about dot product here:
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