<span>-x^2 y^2 + x^4 + 4y^2 - 4x^2
= </span>x^4 -x^2 y^2 - 4x^2 + 4y^2<span>
= x^2 (x^2 - y^2) - 4 (x^2 - y^2)
= (x^2 - y^2)(x^2 - 4)
= (x + y)(x - y) (x + 2)(x - 2) (....using a^2 - b^2 = (a+b)(a-b) )
hope it helps</span>
Answer:
Step-by-step explanation:
To add fractions you need equal denominators
7/100+(1/10)(10/10)
7/100+10/100
17/100 (or 0.17 as a decimal)
Answer: 7 pies
Step-by-step explanation: Since the club split the pies into 5 pieces and then had a total of 45 slices, you would first divide 45 by 5 and you would get 9. The question stated that the cafeteria gave 2 pies and they are asking how much the club made. So you would subtract 9 by 2 to get 7. This concludes to that the club made 7 pies in total. Hope that helps!
Answer:
(a). $20,000
(b). The estimate will be lower than the actual amount.
Step-by-step explanation:
We have been given that Michael saves $423 dollars a month for college.
(a). We know that 1 year equals 12 months.
4 years = 4*12 months = 48 months.
![\text{Actual amount saved}=\$423\times 48](https://tex.z-dn.net/?f=%5Ctext%7BActual%20amount%20saved%7D%3D%5C%24423%5Ctimes%2048)
Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:
![423\approx 400\\\\48\approx 50](https://tex.z-dn.net/?f=423%5Capprox%20400%5C%5C%5C%5C48%5Capprox%2050)
![\text{Actual amount saved}=\$400\times 50](https://tex.z-dn.net/?f=%5Ctext%7BActual%20amount%20saved%7D%3D%5C%24400%5Ctimes%2050)
![\text{Actual amount saved}=\$20,000](https://tex.z-dn.net/?f=%5Ctext%7BActual%20amount%20saved%7D%3D%5C%2420%2C000)
Therefore, Michael will save approximately $20,000 in 4 years.
(b).
The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.
Therefore, the estimate will be lower than the actual amount.
Answer:
(x - 6) meters
Step-by-step explanation:
x² - 12x + 36
x² - 2(x)(6) + 6²
(x - 6)² = side²
side = x - 6