Answer:
x= -10
Step-by-step explanation:
................
(3,-4) (3,5) (3,6)
These all hav the x cord of 3
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Answer:
Cost of the first house : $480,000
Cost of the second house : $320,000
Step-by-step explanation:
An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)
The prices of the house has a ratio of
6:4:3
Sum total = 6 + 4 + 3 = 13
Cheapest house = $240,000
The sum total cost of the 3 houses = x
x is calculated as:
= 3/13 × x =$ 240,000
= 3x = $240,000 × 13
x = $240,000 × 13/3
x = $1,040,000
The Cost of the first house =
6/13 × $1,040,000
= $480,000
Cost of the second house
= 4/13 × $1,040,000
=$320,000
Therefore,
Cost of the first house : $480,000
Cost of the second house : $320,000
The area of a circle is pi * radius squared, thus the area of the circle is 64(pi). Since we have a sector with 90 degree angle, the area of the sector is exactly 1/4 the area of the entire circle, or 16(pi)
Answer:
Step-by-step explanation:
Given that acceleration of an object is
![\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D-2v%5C%5C%5Cfrac%7Bdv%7D%7Bv%7D%20%3D-2dt%5C%5Cln%20v%20%3D%20-2t%2BC%5C%5C)
is the solution to the differential equation
Since v(0) =7
we get ln 7 = C
Hence ![lnv = -2t+ln 7\\v=7e^{-2t}](https://tex.z-dn.net/?f=lnv%20%3D%20-2t%2Bln%207%5C%5Cv%3D7e%5E%7B-2t%7D)
since velocity is rate of change of distance s we have
![v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bds%7D%7Bdt%7D%20%3D7e%5E%7B-2t%7D%5C%5Cs%3D%20%5Btex%5Ds%28t%29%20%3D%5Cfrac%7B-7%7D%7B2%7D%20%28e%5E%7B-2t%7D%29%2BC%29%5B)
substitute t=0 and s=0
![C=7/2](https://tex.z-dn.net/?f=C%3D7%2F2)
So solution for distance is
![s(t) =\frac{-7}{2} (e^{-2t}-1)](https://tex.z-dn.net/?f=s%28t%29%20%3D%5Cfrac%7B-7%7D%7B2%7D%20%28e%5E%7B-2t%7D-1%29)