Answer: The answer would be A. 5
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You can use (a+b)2 = a2+2ab+b2.
(2x - 3)2 = (2x)2 + 2(2x)(-3) + (-3)2 = 4x2 - 12x + 9
Or you can use FOIL.
(2x - 3)2 = (2x - 3)(2x - 3) = (2x)2 + (2x)(-3) + (-3)(2x) + (-3)2 = 4x2 - 12x + 9
hope I could be helpful
Answer:
x=2.5 or x=-4
Step-by-step explanation:
factorisation= factors:1, 2, 4, 5, 10, 20 (only the positive factors)
We will use the factors 4 and 5.
=(2x-5)(x+4)=0
2x-5=0 || x+4=0
2x=+5 || x=-4
x=2.5 or x=-4
Answer:
y = (1/3)x + 7
Step-by-step explanation:
The general structure form of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.
The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.
m = 1/3
x = -3
y = 6
y = mx + b <----- Slope-intercept form
6 = (-3)(1/3) + b <----- Insert values
6 = -1 + b <----- Multiply -3 and 1/3
7 = b <----- Add 1 to both sides
Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.
y = (1/3)x + 7
The Geometric mean of 4 and 10 is 6.32
<u>Explanation:</u>
Given:
Two numbers are 4 and 10
Geometric mean, GM = ?
We know,
GM = ![\sqrt[n]{a_1 X a_2}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba_1%20X%20a_2%7D)
Where,
n = 2
Substituting the value we get"
![GM = \sqrt[2]{4 X 10} \\\\GM = \sqrt[2]{40} \\\\GM = 6.32](https://tex.z-dn.net/?f=GM%20%3D%20%5Csqrt%5B2%5D%7B4%20X%2010%7D%20%5C%5C%5C%5CGM%20%3D%20%5Csqrt%5B2%5D%7B40%7D%20%5C%5C%5C%5CGM%20%3D%206.32)
Thus, the Geometric mean of 4 and 10 is 6.32