That would be B) B
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Answer:
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Step-by-step explanation:
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ans : A) y= 0.25x + 3
B) y= 0.25x - 4.5
C) y= 4x + 18
D) y= 4x - 42
Correct Answer:
Option A
Solution:
f(x) = 7x + 9
g(x) = 7x - 4
We can re-write g(x) as:
g(x) = 7x + 9 - 13
Since 7x+9 is equal to f(x), we can write:
g(x) = f(x) - 13
This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
Here it is given that the triangles ABP and DCR are similars, therefore we use the ratio rule which states that
corresponding sides of similar triangles are in same proprtion .

that gives
7/10 = BP/11
7*11=10BP
BP=7.7
Again using the ratio rule

7/10 = AP/6
42 = 10AP
AP = 4.2
Perimeter= AB+BP+AP = 7+7.7+4.2 = 18.9
Correct option is A.
We have to prove that
is irrational. We can prove this statement by contradiction.
Let us assume that
is a rational number. Therefore, we can express:

Let us represent this equation as:

Upon squaring both the sides:

Since a has been assumed to be rational, therefore,
must as well be rational.
But we know that
is irrational, therefore, from equation
the expression
must be irrational, which contradicts with our claim.
Therefore, by contradiction,
is irrational.