Answer:
(2 x - 3)^2 thus it's True
Step-by-step explanation:
Factor the following:
4 x^2 - 12 x + 9
Factor the quadratic 4 x^2 - 12 x + 9. The coefficient of x^2 is 4 and the constant term is 9. The product of 4 and 9 is 36. The factors of 36 which sum to -12 are -6 and -6. So 4 x^2 - 12 x + 9 = 4 x^2 - 6 x - 6 x + 9 = 2 x (2 x - 3) - 3 (2 x - 3):
2 x (2 x - 3) - 3 (2 x - 3)
Factor 2 x - 3 from 2 x (2 x - 3) - 3 (2 x - 3):
(2 x - 3) (2 x - 3)
(2 x - 3) (2 x - 3) = (2 x - 3)^2:
Answer: (2 x - 3)^2
The two angles given are vertical angles which mean they are the same.
x +40 = 60
Subtract 40 from both sides:
x = 20
Answer:
17m³
Step-by-step explanation:
==>Given:
Prism with right triangular base with the following dimensions:
Height = 17m
Base area = area of the right triangle = ½×2×1 = 1m²
==>Required:
Volume of prism
==>Solution:
Volume of prism = Base area × height of prism
Volume of prism = 1m² × 17m
Volume = 17m³
Answer:
Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar
Step-by-step explanation:
Cuatro estampas de tres dolares cada una es:
3 × 4 = 12
Ahora necesitamos encontrar cuantas estampas mas Patricia puede comprar. Podemos hacer esto restando 12 a 18, que es el costo total de las estampas menos del valor encontrado
18 - 12 = 6
Ahora sabemos que Patricia necesita 6 dolares de estampas ($1 estampas) para acompletar las 10 estampas dando un total de $18 dolares.
6 × 1 = 6 < sumar 6 de 12
12 + 6 = 18
Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar
