The answer is <span>5, 4, 2
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Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
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8x - 40
(x - 5) * 8 = 8x - 40 Sutract
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0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
The line segments AB and CD are perpendicular to each other.
Step-by-step explanation:
Segment AB falls on line 2x − 4y = 8.
Rearranging the equation into slope-intercept form we get, ............. (1)
Therefore, slope of the line segment AB is
Now, the segment CD falls on line 4x + 2y = 8.
Rearranging the equation into slope-intercept form we get, ............. (2)
Therefore, the slope of the line segment CD is, N = - 2
So, M × N =
Hence, we can conclude that the line segments AB and CD are perpendicular to each other
<span>First, find what are the numbers that can be divided to 10 and 85. The numbers 10 and 85 can be divided by 5. 10 divided by 5 is equals to 2 and 85 divided by 5 is equals to 17. Ratio is just like a fraction, you need to reduce its terms if you need to. Let’s say 10:85 is a fraction and since it is obvious that it can be divided by 5, you just need to reduce its term. 10/85 can be reduced into 2/17 which is just the same with ratios 10:85 is equals to 2:17.<span>
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