There's no equation represent the pythagorean theorem in the options. The option A is closed to pythagorean theorem, except the b² should be under root.
Pythagorean Theorem is supposed to be like this
Answer:
The possible original values of both products are ₹2 or ₹1
Step-by-step explanation:
The question is a word problem leading to simultaneous equations
Let 'x' represent the initial value of the pen and pencil
Therefore;
The final cost of the pen = x + ₹4
The final cost of the pencil = 5·x - ₹6
x + ₹4 > 5·x - ₹6
∴ ₹4 + ₹6 > 5·x - x
₹10 > 4x
₹10/4 > x
₹2.5 > x
Given that x is a natural number, therefore
x ≤ ₹2
The possible original values of both products are ₹2 or ₹1
Hello there!

Add 5x to both sides:

Add 14 to both sides:

Now divide both sides by 8:

In our last step, we will simplify 16/8:

Hope this helps!

Answer:

Step-by-step explanation:
If we are given a function <em>f</em> and we want to shift it <em>a</em> units horizontally, the resulting function will be f(<em>x</em> - <em>a</em>), where a positive <em>a</em> is a shift rightwards and a negative <em>a</em> is a shift leftwards.
We have the function:

And we want to shift it two units to the left.
Since we want to shift it two units to the left, <em>a</em> = -2. Therefore, our new function, let's call it <em>g</em>, must be f(<em>x</em> - (-2)) or f(<em>x</em> + 2). Substitute:

Simplify. Expand:

Combine like terms. Hence:

Answer:
the total number of fabric need is 3 and 1/2 because 2 1/4 and 1 1/4 equals 3 1/2.