Is y= -9/5x + 1/5 perpendicular to y= 5/9x + 2/9
1 answer:
The given lines are perpendicular to each other.
Further explanation:
Given lines are:
Line 1: y= -9/5x + 1/5
Line 2: y= 5/9x + 2/9
As the lines are in slope=intercept form, the co-efficient of x are their slopes
Let m1 be the slope of line 1 and m2 be the slope of line 2
Then
As we can see that the product of slopes of both lines is -1. The product of slopes of perpendicular lines is -1.
The given lines are perpendicular to each other.
Keywords: Slope, slope-intercept form
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This is assuming the die is from 1 - 5
Step-by-step explanation:
Tails: 0.5
Vowel:
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Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:
That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17