Select the polynomial that is a perfect square trinomial.
2 answers:
Answer:
Option D. It's a perfect square trinomial.
Step-by-step explanation:
(a) 36x² - 4x + 16
= (6x)² - 2(2x) + (4)²
It's not a perfect square trinomial
(b) 16x² - 8x + 36
= (4x)² - 2x(4x) + (6)²
It's not a perfect square trinomial
(c) 25x² + 9x + 4
= (5x)² + 2 + (2)²
It's not a perfect square trinomial
(d) 4x² + 20x + 25
= (2x)² + 2(10x) + (5)²
= (2x+5)²
It's a perfect square trinomial.
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Based on the CPCTC theorem, the complete statement is: RQ ≅ RT.
<h3>What is the CPCTC Theorem?</h3>According to the CPCTC theorem, if two triangles are said to be congruent, then all the corresponding parts of both triangles are congruent.
Given that ΔPQR ≅ ΔSTR, RQ corresponds to RT. Therefore, both sides are congruent to each other.
Thus, the complete statement is: RQ ≅ RT.
Learn more about the CPCTC theorem on:
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Answer:
Step-by-step explanation:
y=mx+c
where m is the gradient and c is the y-intercept of the line
Let's find the gradient of the line first.
Using the above formula,
Subst. the gradient into m:
Now, find the value of c by substituting a coordinate into the above equation.
when x=-1, y=3,
Therefore the equation of the line is