The magnitude can be found by using the PythaGORAS THEOREM:-
PQ = √[ (-3 - (-5))^2 + (4 - 2)^2 ]
Slope = 1/2 y-intercept = 5/3 so y=1/2x+5/3
<em>Answer:</em>
<em>Muhammad ibn Musa al-Khwarizmi</em>
<em>Step-by-step explanation:</em>
<em>Muhammad ibn Musa al-Khwarizmi was a 9th-century Muslim mathematician and astronomer. He is known as the "father of algebra", a word derived from the title of his book, Kitab al-Jabr.</em>
A.The triangles are similar but not congruent
Step-by-step explanation:
In a congruent traingle:
the both triangles are same in shape and size
There are five theorems to see if the triangles are congruent
and neither particularly applies here
sss: the sides are not equal
as none of the sides are equal, then despite the angles, congruence is not possible
However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.