Hello:
(5x^3)(2x)^3 = (5x^3)(2)^3(x)^3 = <span>(5x^3)8x^3=40x^6 ... (answer C)</span>
The multiplication of the expression (x² + 3x + 2) (2x² + 3x + 1) is 2x⁴ + 9x³ + 14x² + 9x + 2
<h3>Multiplication</h3>
(x² + 3x + 2) (2x² + 3x + 1)
= 2x⁴ + 3x³ + x² + 6x³ + 9x² + 3x + 4x² + 6x + 2
= 2x⁴ + 3x³ + 6x³ + x² + 9x² + 4x² + 3x + 6x + 2
= 2x⁴ + 9x³ + 14x² + 9x + 2
Learn more about multiplication:
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19. 60* - a straight line is 180* - the other side which is 120* (supplementary)
20. 132* - the angle below is the same as the other side of this angle, 180* - 48* (same side interior angles)
21. 48* - these are the same angle just in different placements (corresponding angles)
22. 70* - same angles just different placement (alternate interior angles)
23. 85* - these are vertical angles so they’re the same
24. 114* - same angle just different placement (alternate exterior angles)
I would use the pythagorean theorem to find the lengths of each side. a² + b² = c².
Side AB is one we're looking for. If you make other right triangle with that same side you can see that one length is 4 and the other is 3. So, 4² + 3² = c² → 25 = c² → 5 = c. Side AB is length 5.
Side AC is another. Do the same with that side and you get that one length is 4 and the other is 3. (This is the same one as above) so side AC is length 5.
Side BC is the last one. One of the lengths is 1 and the other is 1 → 1² + 1² = c² → 2 = c² → 1.414213562 = c so side BC is approximately length 1.41.
Add each length up and you get a perimeter of roughly 11.4
Answer:
<h2>B) x = 2/3</h2>
Step-by-step explanation:
y = a - horizontal line (a - any real number) - slope = 0
x = a - vertical line (a - any real number) - undefined slope
y = mx + b - diagonal line (m - any real number except 0, b - any real number) - m - slope
