Answer:
First option, relation 1 and relation 4
Step-by-step explanation:
Because they both cross one of the two axes once, which from what I remember, makes it a function.
Hope this makes sense, and please correct me if I'm wrong :)
26*37=962sqft
Add 4 ft to both numbers (2ft per side)
30*41=1230sqft
Subtract out the garden area
1230-962=268sqft
The path is 268 sq ft
Answer: He will pick up a signal from the transmitter 29.43 miles of the drive.
Step-by-step explanation:
Since we have given that
Radius = 29 mile
So, equation of circle would be
![x^2+y^2=29^2=841](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D29%5E2%3D841)
There is a straight line from a city 32 miles north i.e. (0,32) to a second city 40 miles east of the transmitter i.e. (40,0)
So, equation of line would be
![y-32=\dfrac{0-32}{40-0}(x-0)\\\\y-32=\dfrac{-32}{40}x\\\\y-32=-0.8x\\\\y+0.8x=32\\\\y=32-0.8x](https://tex.z-dn.net/?f=y-32%3D%5Cdfrac%7B0-32%7D%7B40-0%7D%28x-0%29%5C%5C%5C%5Cy-32%3D%5Cdfrac%7B-32%7D%7B40%7Dx%5C%5C%5C%5Cy-32%3D-0.8x%5C%5C%5C%5Cy%2B0.8x%3D32%5C%5C%5C%5Cy%3D32-0.8x)
So, we will put this value in the equation of circle.
![x^2+(32-0.8x)^2=841\\\\x^2+1024+0.64x^2-51.2x=841\\\\1.64x^2-51.2x=841-1024\\\\1.64x^2-51.2x=-183\\\\1.64x^2-51.2x+183=0](https://tex.z-dn.net/?f=x%5E2%2B%2832-0.8x%29%5E2%3D841%5C%5C%5C%5Cx%5E2%2B1024%2B0.64x%5E2-51.2x%3D841%5C%5C%5C%5C1.64x%5E2-51.2x%3D841-1024%5C%5C%5C%5C1.64x%5E2-51.2x%3D-183%5C%5C%5C%5C1.64x%5E2-51.2x%2B183%3D0)
So, x= 4.12 and x = 27.1
So, y = 28.7, y = 10.32
So, distance between them would be
![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(27.1-4.12)^2+(28.7-10.32)^2}\\\\=29.43](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%5C%5C%5C%5C%3D%5Csqrt%7B%2827.1-4.12%29%5E2%2B%2828.7-10.32%29%5E2%7D%5C%5C%5C%5C%3D29.43)
Hence, he will pick up a signal from the transmitter 29.43 miles of the drive.
Answer:
2.75
Step-by-step explanation:
Many square roots, cube roots, etc are also irrational numbers. Examples:
√3 = 1.7320508075688772935274463415059 (etc)
√99 = 9.9498743710661995473447982100121 (etc)