Anjeli writes the equation (a+b)2=c2+4(12ab) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.

Equation of Anjeli is true.

Step-by-step explanation:

Triangle ABC right angle at C such that

Considering AB = c as (Hypotenuse), AC = b as (Longer leg), BC = a as (Shorter leg)

Proof:

(a+b)² = c²+ 4(1/2) ab

In the Triangle ABC,  by Pythagoras theorem, Plugin the values we will get,

Hypotenuse² = longer leg² + shorter leg²

AB² = AC²+ BC²

c² = b²+ a² ------ q

(a+ b)² can be written using the identity as,

(a+ b)²= a² + 2ab + b² ----LHS

Plugin the above identity in the eq. q we will get,

c²+ 2ab = c² + (4/2) ab --- RHS

So LHS = RHS.

Hence proved.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.