Use distributive property:
(a + b)(c + d) = ac + ad + bc + bd
(y + 1)(y² + 2y + 3) = (y)(y²) + (y)(2y) + (y)(3) + (1)(y²) + (1)(2y) + (1)(3)
= y³ + 2y² + 3y + y² + 2y + 3 = y³ + (2y² + y²) + (3y + 2y) + 3
= y³ + 3y² + 5y + 3
Answer:
40
Step-by-step explanation:
Can fit 4 length wise, 5 width wise, and 2 depth wise. So 40 packages total.
What do you need help with
Right of the bat, I know the measure of angle C equals 73° because of the Isosceles Base Angle Theorem. Then, due to the Triangle Sum Theorem, I know that all of the measures in the triangle must add to 180°. To find this, just subtract 73 and 73 from 180. Finally, because angle B equals (6x + 4) and 34°, just set them equal to each other to find the value of x.
180 - 73 - 73 = measure of angle B
34° = measure of angle B
6x + 4 = 34
- 4 - 4
6x = 30
6x / 6 = 30 / 6
x = 5
Hope this helps!