Respuesta:
2+16=20m + 64m = 84 m broooo
Determine whether each trinomial is a perfect square trinomial. Write yes or no.
If so, factor it.
1. m2 + 16m + 64 2. 9r2 - 6r + 1 3. 4y2 - 20y + 25
yes; (m + 8)2
yes; (3r - 1)2
yes; (2y - 5)2
4. 16p2 + 24p + 9 5. 25b2 - 4b + 16 6. 49k2 - 56k + 16
yes; (4p + 3)2 no yes; (7k - 4)2
Factor each polynomial, if possible. If the polynomial cannot be factored, write
prime.
7. 3p2 - 147 8. 6x2 + 11x - 35 9. 50q2 - 60q + 18
3(p + 7)(p - 7) (2x + 7)(3x - 5) 2(5q - 3)2
10. 6t3 - 14t2 - 12t 11. 6d2 - 18 12. 30k2 + 38k + 12
2t(3t + 2)(t - 3) 6(d2 - 3) 2(5k + 3)(3k + 2)
13. 15b2 - 24bf 14. 12h2 - 60h + 75 15. 9n2 - 30n - 25
3b(5b - 8f) 3(2h - 5)2
prime
16. 7u2 - 28m2
17. w4 - 8w2 - 9 18. 16a2 + 72ad + 81d2
7(u - 2m)(u + 2m) (w2 + 1)(w + 3)(w - 3) (4a + 9d)
2
Solve each equation. Check the solutions.
19. 4k2 - 28k = -49 20. 50b2 + 20b + 2 = 0 21. (1
−
2 t - 1)
= 0
{7
2} {-
1
5} {2}
22. g2 +
3 g +
9 = 0 23. p2 -
6
5 p + −
9
25 = 0 24. x2 + 12x + 36 = 25
{-
3} {3
5} {-11, -1}
25. y2 - 8y + 16 = 64 26. (h + 9)2 = 3 27. w2 - 6w + 9 = 13
{-4, 12} {-9 ± √3 } {3 ± √13 }
28. GEOMETRY The area of a circle is given by the formula A = πr2
, where r is the radius.
If increasing the radius of a circle by 1 inch gives the resulting circle an area of
100π square inches, what is the radius of the original circle? 9 in.
29. PICTURE FRAMING Mikaela placed a frame around a print that
measures 10 inches by 10 inches. The area of just the frame itself
is 69 square inches. What is the width of the frame? 1.5 in. 10
10
x
=80
Explicación paso a paso:
Lo hice como sea, gracias por los puntos
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Respuesta:
2+16=20m + 64m = 84 m broooo
Respuesta:
Determine whether each trinomial is a perfect square trinomial. Write yes or no.
If so, factor it.
1. m2 + 16m + 64 2. 9r2 - 6r + 1 3. 4y2 - 20y + 25
yes; (m + 8)2
yes; (3r - 1)2
yes; (2y - 5)2
4. 16p2 + 24p + 9 5. 25b2 - 4b + 16 6. 49k2 - 56k + 16
yes; (4p + 3)2 no yes; (7k - 4)2
Factor each polynomial, if possible. If the polynomial cannot be factored, write
prime.
7. 3p2 - 147 8. 6x2 + 11x - 35 9. 50q2 - 60q + 18
3(p + 7)(p - 7) (2x + 7)(3x - 5) 2(5q - 3)2
10. 6t3 - 14t2 - 12t 11. 6d2 - 18 12. 30k2 + 38k + 12
2t(3t + 2)(t - 3) 6(d2 - 3) 2(5k + 3)(3k + 2)
13. 15b2 - 24bf 14. 12h2 - 60h + 75 15. 9n2 - 30n - 25
3b(5b - 8f) 3(2h - 5)2
prime
16. 7u2 - 28m2
17. w4 - 8w2 - 9 18. 16a2 + 72ad + 81d2
7(u - 2m)(u + 2m) (w2 + 1)(w + 3)(w - 3) (4a + 9d)
2
Solve each equation. Check the solutions.
19. 4k2 - 28k = -49 20. 50b2 + 20b + 2 = 0 21. (1
−
2 t - 1)
2
= 0
{7
−
2} {-
1
−
5} {2}
22. g2 +
2
−
3 g +
1
−
9 = 0 23. p2 -
6
−
5 p + −
9
25 = 0 24. x2 + 12x + 36 = 25
{-
1
−
3} {3
−
5} {-11, -1}
25. y2 - 8y + 16 = 64 26. (h + 9)2 = 3 27. w2 - 6w + 9 = 13
{-4, 12} {-9 ± √3 } {3 ± √13 }
28. GEOMETRY The area of a circle is given by the formula A = πr2
, where r is the radius.
If increasing the radius of a circle by 1 inch gives the resulting circle an area of
100π square inches, what is the radius of the original circle? 9 in.
29. PICTURE FRAMING Mikaela placed a frame around a print that
measures 10 inches by 10 inches. The area of just the frame itself
is 69 square inches. What is the width of the frame? 1.5 in. 10
10
x
x
=80
Explicación paso a paso:
Lo hice como sea, gracias por los puntos