Answer:
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√x+8 f - 1 ( x ) = x 3 + 8 is the inverse of f(x)=(x−8)3 f ( x ) = ( x - 8 ) 3 .
<h3>
Question: </h3><h3>
In the diagram below of Δ ABC, side BC is extended to point D, m∠A = x , m∠B = 2x+15, and m∠ACD = 5x+5 , what is m∠B ?</h3>
Answer: 3) m∠B = 25º
Step-by-step explanation:
Since m∠C is supplementary to m∠ACD
m∠C = 180º - m∠ACD
m∠C = 180º -(5·x + 5)
m∠C = 180º -5 -5·x
m∠C = 175º - 5·x
The sum of the angles of a triangle = 180º
m∠A + m∠B + m∠C = 180º
x + 2·x + 15º + 175º - 5·x = 180º
3·x - 5·x +190º = 180º
-2·x = 180º - 190º
-2·x = -10º
x = -10º/-2 = 5º
Now we can substitute this value of x in m∠B
m∠B = 2x+15
m∠B = 2·x + 15º = 2·5º + 15º = 10º + 15º = 25º
Answer: 3) m∠B = 25º
<h2><em>Spymore</em></h2>
1000 times 1000 times 1000 times 1000 is 1,000,000,000,000
Answer:
Part a) The rule of the translation is (x,y) -----> (x-3,y-4)
Part b) The coordinates of vertex C after translation is (5,-1)
Step-by-step explanation:
Part a) Which rule represents the translation
we know that
The triangle is translated 4 units down ----> That means that the new y-coordinate is equal to the original y-coordinate minus 4
The triangle is translated 3 units left ----> That means that the new x-coordinate is equal to the original x-coordinate minus 3
so
The rule of the translation is
(x,y) -----> (x-3,y-4)
Part b) Find the coordinates of vertex after translation
Applying the rule of the translation to vertex C
C(8.3) -----> C'(8-3,3-4)
C(8.3) -----> C'(5,-1)
