<h3>
Answer: Choice D. 4x^2 + 20x + 25</h3>
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Explanation:
Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2
So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.
Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.
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(a+b)^2 = a^2+2ab+b^2
(2x+5)^2 = (2x)^2+2*2x*5+5^2
(2x+5)^2 = 4x^2 + 20x + 25
Answer:
2 1/5 + 6 4/5
= 2/5 + 24/5
= 26/5
= <u>5</u><u>.</u><u>2</u>
Answer:
y - 6 = 3(x + 2)
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: m(slope) = 3, (6, -2)
(x1, y1) = (6, -2)
Input the given values of the slope and the point into the equation for point-slope form:
y - (-2) = 3(x - 6)
y + 2 = 3(x - 6)
The equation written in point-slope form is: y + 2 = 3(x - 6)
Answer:
X/5 - 5 = f(x) for the domain [0,infinity)
Step-by-step explanation:
Answer:
a=3
Step-by-step explanation:
opening the bracket, we have
4x-2x-2a=8
2x-2a=8
x=7
2(7)-2a=8
14-2a=8
collect like terms
-2a=8-14
-2a=-6
divide both sides by -2
a=3
