A = bh
b = 4h
A = 324
324 = 4h * h
324 = 4h^2
324/4 = h^2
81 = h^2
sqrt 81 = h
9 = h
b = 4h
b = 4(9)
b = 36
so the height (h) = 9 cm and the base (b) = 36 cm
19.(3/4)/(1/32)=24
20.(3/4)/(1/14)=21/2
21.(1/2)/(1/72)=36
2x - 45 = x +4
Add 45 to each side:
2x = x + 49
Subtract 1x from each side:
x = 49
Step-by-step explanation:
Length of rectangle = 4 * 3.5cm = 14cm.
Perimeter of rectangle = 2(14 + 3.5) = 35cm.
Area of rectangle = 14 * 3.5 = 49cm².
9514 1404 393
Answer:
f^-1(x) = 4+∛((x-6)/5)
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
then write the answer in functional form.
![\displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3Df%28y%29%5C%5C%5C%5Cx%3D5%28y-4%29%5E3%2B6%5C%5C%5C%5Cx-6%3D5%28y-4%29%5E3%5C%5C%5C%5C%5Cfrac%7Bx-6%7D%7B5%7D%3D%28y-4%29%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%3Dy-4%5C%5C%5C%5Cy%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%5C%5C%5C%5C%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%7D)
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The graph shows the function and its inverse to be reflections of each other in the line y=x, as they should be.