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.
The slope (m) and the ordered pairs are given.
In order to arrive at the standard form : AX + BY = C, we need to form the slope-intercept form first : y = mx + b
Substitute the values in order to get the intercept (b)
y = mx + b
5 = 5/4 * 4 + b
5 = 5 + b
b = 0
So given the m = 5/4, b = 0
y = mx + b
y = 5/4x+ 0
Converting it to Standard Form
y = 5/4x + 0
5/4x - y = 0 (multiply both sides by 4)
5x - 4y = 0
So the Standard form is 5x - 4y = 0
Word Problem:
Jim is building a garden in one corner of his yard. The garden is in the shape of an equilateral triangle. If one side is 18 feet, how much fencing should he buy to enclose the garden?
Answer:
P = 18 + 18 + 18 = 54 ft
Explanation:
Equilateral triangle has all sides equal
X=-8 is your answer for this problem
So you for the answer you have to add all alike-variables, which all of them are alike in this question. 5c+8c=13c. 13c+3c= 16c, so 16c would be your answer
