Answer:
Minor Sector
Step-by-step explanation:
Answer:
y = 1/3x + 7
Step-by-step explanation:
Perpendicular slope is opposite reciprocal so it will be 1/3
Use the slope and point given and plug into y = mx + b
4 = 1/3 (-9) + b
4 = -3 + b
7 = b
write new equation with new b and m
y = 1/3x + 7
Answer:
(6,-2)
Step-by-step explanation:
2x + 3y = 6
x + y = 4
Multiply the second equation by -2 to eliminate x
-2(x+y) = -2*4
-2x-2y = -8
Add this to the first equation
2x + 3y = 6
-2x -2y = -8
---------------------
y = -2
Now we need to find x
x+y = 4
x-2 = 4
Add 2 to each side
x-2+2 = 4+2
x = 6
(6,-2)
9514 1404 393
Answer:
(a) a^4/(4b^2)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
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Your expression simplifies as follows.
![\dfrac{3a^2b^{-4}}{12a^{-2}b^{-2}}=\dfrac{3}{12}\cdot\dfrac{a^{2-(-2)}}{b^{-2-(-4)}}=\boxed{\dfrac{a^4}{4b^2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B3a%5E2b%5E%7B-4%7D%7D%7B12a%5E%7B-2%7Db%5E%7B-2%7D%7D%3D%5Cdfrac%7B3%7D%7B12%7D%5Ccdot%5Cdfrac%7Ba%5E%7B2-%28-2%29%7D%7D%7Bb%5E%7B-2-%28-4%29%7D%7D%3D%5Cboxed%7B%5Cdfrac%7Ba%5E4%7D%7B4b%5E2%7D%7D)