Answer:
<h2>Step-by-step explanation:
To find f(19) , substitute the value of x that's 19 into f(x). That is for every x in f (x) replace it with 19
We have
We have the final answer as
Hope this helps you
ΔABC underwent a sequence of rigid transformations to give ΔA′B′C′. Which transformations might have taken place?
2 answers:
Answer: The correct option is second, a rotation clockwise about the origin followed by a reflection across the x-axis.
Explanation:
From the given figure it is noticed that the vertices of ΔABC are A(-6,4), B(-4,6), C(-2,2) and vertices of ΔA'B'C' are A'(4,-6), B(6,-4), C(2,-2).
It means if the point is P(x,y) then after transformation it will be P'(y,x).
If a point P(x,y) reflection across the y-axis followed by a reflection across the x-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.
If a shape is rotated clockwise about the origin then the point P(x,y) will be P'(y,-x) and after that reflect across the x-axis, so the point after transformation will be P'(y,x), therefore it is the correct option.
If a shape is rotated clockwise about the origin then the point P(x,y) will be P'(-y,x) and after that reflect across the x-axis, so the point after transformation will be P'(-y,-x), therefore it is not the correct option.
If a point P(x,y) reflection across the x-axis followed by a reflection across the y-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.
Hence, the correct option is second, a rotation clockwise about the origin followed by a reflection across the x-axis.
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When there is a multiplication involving exponents, we need to evaluate the numbers and each variables separately. In this case, we have 5 and 4 as the numbers, and w and h for the variables.
When we multiply 5 and 4 we get:
For w, we have
, 
, 
. While we are multiplying the w's, we need to add the exponents together to get the final answer: 
For h's, there are
, 
, 
. When we apply the same thing to h's, we get 
For the final step, we need to write all of these together:
When we multiply 5 and 4 we get:
For w, we have
For h's, there are
For the final step, we need to write all of these together:
The graph of the inequality, x > 2 is the graph attached below.
<h3>How to Find the Graph of Inequality?</h3>Given the inequality as, x > 2, it means all possible values of x must be greater than 2.
Thus, the graph that will show all possible values of x that would be greater than 2 would be a vertical line indicating the values are over 2 and upwards.
Therefore, the graph that represents x > 2 is shown in the image attached below.
Learn more about the graph of inequality on:
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