Answer:
B
Step-by-step explanation:
the product (2x² - 3x - 8)(3x² + 5x + 1) is required
multiply each term in the second factor by each term in the first factor.
= 2x²(3x² + 5x + 1) - 3x(3x² + 5x + 1) - 8(3x² + 5x + 1) ← distribute
= 6
+ 10x³ + 2x² - 9x³ - 15x² - 3x - 24x² - 40x - 8
collecting like terms gives
6 + x³ - 37x² - 43x - 8 → B
Yes, for triangles to similar two angles have to be the same, in this case, they both have 55 and 30 degrees), this makes the third angle the same. Triangles angles add up to 180 degrees and if you subtract 30 and 55 from 180..
180-30=150-55=95
95+30+55=180
Let x be the initial width, then the initial length is x+20.
<span>If Elise decreases this length by 8 feet, she will get the new length x+20-8=x+12.
</span>
If Elise increases the width by 10 feet, <span>she will get the new width x+10.
</span><span>
</span><span>The new perimeter will be x+12+x+12+x+10+x+10=4x+44=172, 4x=172-44, 4x=128, x=128÷4, x=32.
</span><span>
</span><span>The initial width is 32 ft and the initial length is 32+20=52 ft.
</span><span>
</span><span>The new width will be 32+10=42 ft, the new length will be 32+12=44 ft.
</span>
The answer is 17
4x3=12
3x2=6
12+6=18
18-1=17
