Look at the picture.
<h3>Answer: S(a, 0).</h3>
The coordinate of the point T after the given transformations is; T''(-2, -4)
<h3>How to carry out Translation Transformations?</h3>
We are given the coordinates of the rectangle STUV as;
S(-7, 6)
T(-2, 6)
U(-2, 1)
V(-7, 1)
Now, we are told that all these coordinates are translated using the transformation rule; (x, y) → (x − 2, y − 4)
Thus, the new coordinates using this transformation rule are;
S'(-9, 2)
T'(-4, 2)
U'(-4, -3)
V'(-9, -3)
Now, we are told that these new points are rotated 90° counterclockwise and as such the new coordinates formed will follow the pattern (x, y) → (-y, x).
Thus, our final coordinates are;
S''(-2, -9)
T''(-2, -4)
U''(3, -4)
V''(3, -9)
Thus, the coordinate of the point T after the given transformations is; T''(-2, -4)
Read more about Translation Transformation at; brainly.com/question/4289712
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Answer:
0
Step-by-step explanation:
First, you plug -9 into g(x) and you get g(-9) = - 1. After that, you solve f(-1), which you then reach the solution of 0 by solving.
Answer:
5.2 x 10^-2
Step-by-step explanation:
Scientific notation is used to simplify very large or very small numbers.
The formula for scientific notation is (a x 10^ n)
(a) is a number that is both greater than 1 and less than 10
(n) is the number of places the decimal place moves. This number can be positive or negative depending on the number you are converting. If the original number is greater than 1 (n) will be positive, and if the number is less than 1 (n) will be negative.
First you should write out the number.
0.052
Then, you should determine the number places the decimal point must move, and create a number greater than 1 and less than 10. (You should also pay attention to the direction the decimal point moves)
For this problem you will move the decimal place 2 places to the right to create the number 5.2.
Last, substitute the values into the formula. For this problem (a)= 5.2 and (n)= -2. This gives us the expression 5.2 x 10^-2.