Find the square root of the following number by prime factorization: 65536
1 answer:
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Answer:
Transitive property of equality is not a justification for the proof.
Step-by-step explanation:
We draw a right angle ΔACB. CD is perpendicular to AB.
Let AC = a , BC = b , AB = c and CD = h
Now in ΔABC and ΔACD
∠C = ∠D and ∠A = ∠A
from AA similarity postulate
ΔABC similar to ΔACD.
Hence,
=
= c × x ·····················(1)
Now in ΔABC and ΔCBD
∠C = ∠D and ∠B = ∠B
from AA similarity postulates
ΔABC similar to ΔCBD
Hence,
= c × y······················(2)
Add equation (1) and (2)
+
= cx + cy
+
= c(x+y)
+
=
[because x+y=c]
Transitive property is not useful for this proof.
Answer:
The coordinates of the vertex are (-5, 41)
Step-by-step explanation:
For a quadratic function of the form
Where a, b and c are constants and represent the coefficients of the function, then the symmetry of the parabola always passes through its vertex.
In this case we have the following parabola
And we know that its axis of symmetry is the line
Then we know that this axis of symmetry passes through the vertex of the parabola.
Therefore, the x coordinate of the vertex is -5.
To find the coordinate in y of the vertex, we substitute x = -5 in the function.
Finally, the vertices are in the point (-5, 41).