Given:
Consider the three number are given by:
To find:
The three numbers are the Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
We have,
Substituting 4 for x and 1 for y, we get
Similarly,
And,
The three three numbers are the Pythagorean triple are 8,15 and 17.
Therefore, the correct option is C.
Given :
This means that △ABC≅△ADC under the SAS congruence criterion because according to this criterion if two sides and one included angle is equal two triangles are congruent and since these two triangles fulfill these rules they are said to be congruent under the SAS congruence criterion. But they are also congruent under the ASA congruence criterion which states that if two angles and one included side is equal two triangles are congruent. Since △ABC and △ADC fulfill these rules too they can said to be congruent under the ASA congruence criterion.
Answer:
Option 3 is correct.
Step-by-step explanation:
Given the functions we have to select the correct transformation of the quadratic function shifted eight units to the left and one unit down.
As we know, to create a new function to apply vertical shift up we have to add the number of shift to that function or vertical shift down we have to subtract that from the given function.
Similarly, to create a new function to apply horizontal shift left we have to add the number of shift to that function of x or shift right we have to subtract that from the given function.
If we have to transform the quadratic function shift one unit down then we have to subtract 1 from the function.
And If we have to transform the quadratic function shift eight units to the left we have to add the shift to x.
Hence, the new function becomes,
Option 3 is correct.