Step-by-step explanation:
I think that is the right answer I hope ut helps
Answer:
it's negative and positive and negative + positive is -ive or +ive but in this case they are in equal distance from the number line which makes the answer zero
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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Answer:
Pi is irrational and the square root of 13 is irrational
Step-by-step explanation:
This is because those two numbers have an unpredictable and infinite pattern for their decimal.
Hope this helped!
Answer:
side length of sculpture = 9 cm
height of sculpture = 6cm
Step-by-step explanation:
Given that,
volume of sculpture = 162cm³
side length of sculpture = x
height of sculpture = x-3
formula for volume of sculpture
<h3>V=1/3 a²h</h3>
by putting values, the equation can be used to find the length of the sculpture’s base
162 = 1/3 (x)² (x-3)
162(3) = (x)² (x-3)
486 = x²(x-3)
486 = x³ - 3x²
x³ - 3x² - 486 = 0
x = 9 <em>(using a graph tool / calculator equation mode)</em>
side length of sculpture = 9 cm
height of sculpture = 9 - 3
= 6cm
