Answer:
The supplementary angle would be 40°.
Step-by-step explanation:
Supplementary angles equal 180°
180 - 140
40
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<span>Instead of k, k+1, k+2, you should use k, k+2, k+4 with the constraint that k is even (i.e. if you return an odd integer for k, or a non-integer, then return no solution).
</span><span>k + (k+2) + (k+4) = 4k
</span><span>3k + 6 = 4k
k = 6
</span><span>Indeed, 6+8+10 = 4*6.</span>
Answer:
B. y = 0.097x + 11.142
Step-by-step explanation:
In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.
The equation of the line can be written as
![y=mx+q](https://tex.z-dn.net/?f=y%3Dmx%2Bq)
where m is the slope and q the y-intercept.
In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:
(1900, 196)
and
(2200, 225)
The slope of the line is calculated as:
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{225-196}{2200-1900}=0.097](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B225-196%7D%7B2200-1900%7D%3D0.097)
So, the slope of the line is 0.097.
Therefore, the correct option is the only one having a slope of 0.097, which is:
B. y = 0.097x + 11.142
Answer:
That is the answer step by step in exponents hope that helped
By the chain rule,
![\dfrac{\partial w}{\partial u}=\dfrac{\partial w}{\partial x}\cdot\dfrac{\partial x}{\partial u}+\dfrac{\partial w}{\partial y}\cdot\dfrac{\partial y}{\partial u}+\dfrac{\partial w}{\partial z}\cdot\dfrac{\partial z}{\partial u}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20u%7D%3D%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20x%7D%5Ccdot%5Cdfrac%7B%5Cpartial%20x%7D%7B%5Cpartial%20u%7D%2B%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20y%7D%5Ccdot%5Cdfrac%7B%5Cpartial%20y%7D%7B%5Cpartial%20u%7D%2B%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20z%7D%5Ccdot%5Cdfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20u%7D)
![\dfrac{\partial w}{\partial u}=2xv+2y\cos v+2z\sin v](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20u%7D%3D2xv%2B2y%5Ccos%20v%2B2z%5Csin%20v)
We also have
![x(9,0)=0](https://tex.z-dn.net/?f=x%289%2C0%29%3D0)
,
![y(9,0)=9](https://tex.z-dn.net/?f=y%289%2C0%29%3D9)
, and
![z(9,0)=0](https://tex.z-dn.net/?f=z%289%2C0%29%3D0)
, so at this point we get