Answer:
x= -43 or x=57
Step-by-step explanation:
Apply absolute value rule: If |u|=a, a>0 then u=a or u=-a
So applying that to our equation:
|x-7|=50, x-7 can either equal +50 or -50 so we solve for both
x-7= -50 ---> x= -43
or
x-7=50 ---> x=57
I hope this helps!
Answer:
4.550.
Step-by-step explanation:
Converting to decimal form:
9/2 = 4.5
4 1/2 = 4.5
4.505
4.550
The largest is 4.550.
Answer: Our required answer will be
![11x^2y^3-4xy^2](https://tex.z-dn.net/?f=11x%5E2y%5E3-4xy%5E2)
Step-by-step explanation:
Since we have given that
![(4x^y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y)](https://tex.z-dn.net/?f=%284x%5Ey%5E3%2B2xy%5E2-2y%29-%28-7x%5E2y%5E3%2B6xy%5E2-2y%29)
We need to get the difference:
1) We first open the second bracket and make appropriate change in signs :
![4x^y^3+2xy^2-2y+7x^2y^3-6xy^2+2y](https://tex.z-dn.net/?f=4x%5Ey%5E3%2B2xy%5E2-2y%2B7x%5E2y%5E3-6xy%5E2%2B2y)
2) Gather the like terms together :
![4x^2y^3+2xy^2-2y+7x^2y^3-6xy^2+2y\\\\=4x^2y^3+7x^2y^3+2xy^2-6xy^2-2y+2y\\\\=11x^2y^3-4xy^2](https://tex.z-dn.net/?f=4x%5E2y%5E3%2B2xy%5E2-2y%2B7x%5E2y%5E3-6xy%5E2%2B2y%5C%5C%5C%5C%3D4x%5E2y%5E3%2B7x%5E2y%5E3%2B2xy%5E2-6xy%5E2-2y%2B2y%5C%5C%5C%5C%3D11x%5E2y%5E3-4xy%5E2)
Hence, our required answer will be
![11x^2y^3-4xy^2](https://tex.z-dn.net/?f=11x%5E2y%5E3-4xy%5E2)
2x^2+2x-4=2(2x^2+2x-4)/2=[2(2x^2)+2(2x)-2(4)]/2=[2^2x^2+2(2x)-8]/2
2x^2+2x-4=[(2x)^2+2(2x)-8]/2=(2x+4)(2x-2)/2=2(2x/2+4/2)2(2x/2-2/2)/2
2x^2+2x-4=2(x+2)(x-1)
Answer: Option B. 2(x+2)(x-1)
Answer:
420 cm, 4.3 meters, 4600 mm, 0.04 km
Step-by-step explanation:
We can solve this by converting each to the same unit. I will be using meters.
0.04 km
1 km = 1000 meters
1000 meters / 1 km = 1
multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out
0.04 km * 1000 meters / 1 km = 40 meters
420 cm
100 cm = 1 meter
1 meter / 100 cm = 1
multiply 420 cm by this, keeping cm at the bottom so it crosses out
420 cm * 1 meter / 100 cm = 4.2 meters
4600 mm
1000 mm = 1 meter
1 meter / 1000 mm = 1
4600 mm * 1 meter / 1000 mm = 4.6 meters
Therefore, our order is
420 cm, 4.3 meters, 4600 mm, 0.04 km