5a - 4a = -9 - 8a
a = -9 - 8a
9a = -9
a = -1
For two lines to be perpendicular, their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, in this case our reference line has a slope of -3 so:
-3m=-1 divide both sides by -3
m=-1/-3
m=1/3
So the perpendicular line will have a slope of 1/3
B) negative. Is the answer
Answer:
if a varible is by itself with no key it would mean a 1 but this would most likely mean multiplication although there is no parenthesies my awnser would be 6!
Step-by-step explanation:
but that would be the same as the question.
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
To learn more on quadratic equations: brainly.com/question/2263981
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