4m.
You can get this answer by setting the legs equal to x and x+4 and the hypotenuse as 2x-4. Then use the Pythagorean Theorem and the quadratic equation to solve.
Answer:
1/6
Step-by-step explanation:
Make the denominators the same by finding the lcm(least common denominator). The least common demominator would be 24. So multiply both numbers in 1/8 by 3. This would eaqual 3/24. Multiply both numbersin 4/3 by 8. This would equal
=
. Simplify 96/576 by dividing both numbers by 96.
<u>96</u> ÷ 96 = <u> 1 </u> 576 ÷ 96 = 6 and that becomes 1/6.
.08 cents per ounce, because 2.40 ÷30 =.08
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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A n =?
If the arithmetic sequence is:-20, - 16, - 12 , - 8 ...
a 1 = -20, d = 4 ( a 2 = -20 + 4 = -16, a 3 = -16+4 = -12,...)
And the formula for nth term is:
a n = a 1 + d (n -1)
a n = -20 + 4( n -1) (n=1.2.3...)