<span>The property that is shown in the expression given in the question is commutative property. The word commutative has basically been taken from the word "commute". This means moving around and in case of this problem, it means moving around for doing the addition and getting to the right answer. I hope it helps you.</span>
Answer:
B. 61
Step-by-step explanation:
7, 10, 13, 16...
ok so were starting with 7 and adding 3 every time
im going to do 3 times 19 like as if we started with 3 then im going to add 4
3 x 19 = 57
57 + 4 = 61
the 19th term is 61
The formula of the dot product of two vectors:
![\overrightarrow{u}\circ\overrightarrow{v}=|\overrightarrow{u}|\cdot|\overrightarrow{v}|\cos\alpha](https://tex.z-dn.net/?f=%20%5Coverrightarrow%7Bu%7D%5Ccirc%5Coverrightarrow%7Bv%7D%3D%7C%5Coverrightarrow%7Bu%7D%7C%5Ccdot%7C%5Coverrightarrow%7Bv%7D%7C%5Ccos%5Calpha%20)
We have:
![|\overrightarrow{u}|=2\\|\overrightarrow{v}|=\dfrac{1}{9}\\\alpha=\dfrac{\pi}{4}\to\cos\dfrac{\pi}{4}=\dfrac{\sqrt2}{2}](https://tex.z-dn.net/?f=%20%7C%5Coverrightarrow%7Bu%7D%7C%3D2%5C%5C%7C%5Coverrightarrow%7Bv%7D%7C%3D%5Cdfrac%7B1%7D%7B9%7D%5C%5C%5Calpha%3D%5Cdfrac%7B%5Cpi%7D%7B4%7D%5Cto%5Ccos%5Cdfrac%7B%5Cpi%7D%7B4%7D%3D%5Cdfrac%7B%5Csqrt2%7D%7B2%7D%20)
Substitute:
![\overrightarrow{u}\circ\overrightarrow{v}=9\cdot\dfrac{1}{9}\cdot\dfrac{\sqrt2}{2}=\dfrac{\sqrt2}{2}](https://tex.z-dn.net/?f=%20%5Coverrightarrow%7Bu%7D%5Ccirc%5Coverrightarrow%7Bv%7D%3D9%5Ccdot%5Cdfrac%7B1%7D%7B9%7D%5Ccdot%5Cdfrac%7B%5Csqrt2%7D%7B2%7D%3D%5Cdfrac%7B%5Csqrt2%7D%7B2%7D%20)
Answer:
slope = 10/1
Step-by-step explanation:
slope is the vertical rise over the horizontal rise
if you select two points on the line -- I used (10, 0) and (20, 20) -- and subtract the y-values you will get the vertical rise (20 - 0 = 20); if you now subtract the x-values (20 - 10 = 10) you will get the horizontal rise
so, 20/10 or 10/1
if you go from point (10, 0) to (20, 20) then you go up by 10 and over to the right by 1
(-3, 5) i think, this is just a guess and I haven’t done this stuff since 8th grade mb