Answer:
<K = 34.8°
Step-by-step explanation:
sin K = 4/7
K = 
(4/7)
<K = 34.8°
The one is a vertical translation of the parent function to the left of one
making it -1.
The vertices T<4, 1> (DEF) are D' = (5, 4), E' = (6, -3) and F' = (1, 2)
<h3>How to determine the vertices?</h3>
The vertices of the triangle are given as:
D(1, 3), E(2, -4), and F(-3, 1).
The transformation represented by T<4, 1> (DEF) is:
(x,y) = (x + 4, y + 1)
So, we have;
D' = (1 + 4, 3 + 1)
D' = (5, 4)
E' = (2 + 4, -4 + 1)
E' = (6, -3)
F' = (-3 + 4, 1 + 1)
F' = (1, 2)
Hence, the vertices T<4, 1> (DEF) are D' = (5, 4), E' = (6, -3) and F' = (1, 2)
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The student solved the problem incorrectly. The student should add 12.7 to both sides of the equation to isolate the variable, y.
The simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
<h3>How to simplify the expression?</h3>
The algebraic statement is given as:
(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6
Rewrite the algebraic statement as:
[(x^0 y^2/3 z^-2y)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the like factors
[(x^0 y^(2/3+1) z^-2)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the sum
[(x^0 y^5/3 z^-2)^2/3]/[(x^2 z^1/2)^-6]
Expand the exponents
[(x^(0*2/3) y^(5/3 * 2/3)z^(-2*2/3)]/[(x^(2*-6) z^(1/2*-6)]
Evaluate the products
[(x^0 y^(10/9) z^(-4/3)]/[(x^(-12) z^(-3)]
Apply the quotient law of indices
x^(0+12) y^(10/9) z^(-4/3+3)
Evaluate the sum of exponents
x^(12) y^(10/9) z^(-1/3)
Hence, the simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
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