Answer:
-3x^6 -x^4 +2x^3 -8x +8
Step-by-step explanation:
Use the distributive property 4 times.
(-3x^3 + 2x - 4)×(x^3 + x - 2)
= -3x^3(x^3 +x -2) +2x(x^3 +x -2) -4(x^3 +x -2) . . . . once
= -3x^6 -3x^4 +6x^3 +2x^4 +2x^2 -4x -4x^3 -4x +8 . . . . 3 more times
= -3x^6 +x^4(-3+2) +x^3(6 -4) +2x^2 +x(-4 -4) +8 . . . . group like terms
= -3x^6 -x^4 +2x^3 -8x +8
Personally, I would recommend reading this as a fraction, and splitting up mantissa from the power of 10. (Mantissa refers to the number 1.23 in
.)
![\left(3.6 \times 10^{-5}\right) \div \left(9 \times 10^{-7}\right) = \dfrac{3.6 \times 10^{-5}}{9 \times 10^{-7}} = \dfrac{3.6}9 \times \dfrac{10^{-5}}{10^{-7}}](https://tex.z-dn.net/?f=%5Cleft%283.6%20%5Ctimes%2010%5E%7B-5%7D%5Cright%29%20%5Cdiv%20%5Cleft%289%20%5Ctimes%2010%5E%7B-7%7D%5Cright%29%20%3D%20%5Cdfrac%7B3.6%20%5Ctimes%2010%5E%7B-5%7D%7D%7B9%20%5Ctimes%2010%5E%7B-7%7D%7D%20%3D%20%5Cdfrac%7B3.6%7D9%20%5Ctimes%20%5Cdfrac%7B10%5E%7B-5%7D%7D%7B10%5E%7B-7%7D%7D)
Now just reduce each fraction:
![\dfrac{3.6}9 = \dfrac{36}{90} = \dfrac25 = 0.4](https://tex.z-dn.net/?f=%5Cdfrac%7B3.6%7D9%20%3D%20%5Cdfrac%7B36%7D%7B90%7D%20%3D%20%5Cdfrac25%20%3D%200.4)
![\dfrac{10^{-5}}{10^{-7}} = 10^{-5-(-7)} = 10^{-5+7} = 10^2](https://tex.z-dn.net/?f=%5Cdfrac%7B10%5E%7B-5%7D%7D%7B10%5E%7B-7%7D%7D%20%3D%2010%5E%7B-5-%28-7%29%7D%20%3D%2010%5E%7B-5%2B7%7D%20%3D%2010%5E2)
So
![\left(3.6 \times 10^{-5}\right) \div \left(9 \times 10^{-7}\right) = 0.4 \times 10^2 = \boxed{4 \times 10^1}](https://tex.z-dn.net/?f=%5Cleft%283.6%20%5Ctimes%2010%5E%7B-5%7D%5Cright%29%20%5Cdiv%20%5Cleft%289%20%5Ctimes%2010%5E%7B-7%7D%5Cright%29%20%3D%200.4%20%5Ctimes%2010%5E2%20%3D%20%5Cboxed%7B4%20%5Ctimes%2010%5E1%7D)
since
.
Answer:
23cm
Step-by-step explanation:
to convert from millimetres to centimetres, you divide by 10.
10mm= 1cm.
so 230mm = 23cm.
Answer:
Correct answer is figure D.
Step-by-step explanation:
According to the attached image Figure D is correct option.
In a reflection transformation, all the points of an object are reflected or flipped. It is a type of transformation where the new image is the mirror image of the original and x-coordinates and y-coordinates changes the place.
Figure A is rotation and translation and Figure B and C are translation
Thus the correct option is Figure D....
multiply 300 by 7 and then you should be able to finish the equation