1. C = ⁵/₉F - 32
9C = 9(⁵/₉F - 32)
9C = 9(⁵/₉F) - 9(32)
9C = 5F - 288
- 5F - 5F
9C - 5F = -288
- 9C - 9C
-5F = -9C - 288
-5 -5
F = 1⁴/₅C + 57.6
2. [tex]H = w + \frac{50}{m^{2}}[/tex]
[tex]m^{2}(H) = m^{2}(\frac{50}{m^{2}})[/tex]
[tex]Hm^{2} = 50[/tex]
[tex]\frac{Hm^{2}}{H} = \frac{50}{H}[/tex]
[tex]m^{2} = \frac{50}{H}[/tex]
[tex]\sqrt{m^{2}} = \sqrt{\frac{50}{H}}[/tex]
[tex]m = \frac{\sqrt{50}}{\sqrt{H}}[/tex]
[tex]m = \frac{5\sqrt{2}}{\sqrt{H}}[/tex]
[tex]m = \frac{5\sqrt{2}}{\sqrt{H}} * \frac{\sqrt{H}}{\sqrt{H}}[/tex]
[tex]m = \frac{5\sqrt{2H}}{H}[/tex]
3. A = 5 + 4√x
- 5 - 5
A - 5 = 4√x
(A - 5)² = (4√x)²
A² - 10A + 25 = 16x
16 16
¹/₆A² - ⁵/₈A + 1⁹/₁₆ = x
4. [tex]A = \frac{b + c}{b}[/tex]
[tex]Ab = b(\frac{b + c}{b})[/tex]
[tex]Ab = b + c[/tex]
[tex]Ab - b = c[/tex]
[tex]b(A) - b(1) = c[/tex]
[tex]b(A - 1) = c[/tex]
[tex]\frac{b(A - 1)}{A - 1} = \frac{c}{A - 1}[/tex]
[tex]b = \frac{c}{A - 1}[/tex]
