Solve the equation d = gh - f for h.

Mathematics

2 answers:

m_a_m_a [10]3 years ago

5 0

Answer:

h = (d + f)/g

Step-by-step explanation:

Here, we simply want to make h the formula subject;

d = gh - f

d + f = gh

divide both sides by g

h = (d + f)/g

Romashka [77]3 years ago

3 0

Answer: C h=d+f/g

Step-by-step explanation:

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Solve the equation 6w2 – 7w – 20 = 0.

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For this case we have the following quadratic equation:

$6w ^ 2-7w-20 = 0$

Where:

$a = 6\\b = -7\\c = -20$

Its roots will be given by:

$w = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\w = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (6) (- 20)}} {2 (6)}\\w = \frac {7 \pm \sqrt {49 + 480}} {12}\\w = \frac {7 \pm \sqrt {529}} {12}\\w = \frac {7 \pm23} {12}$

The roots are:

$w_ {1} = \frac {7 + 23} {12} = \frac {30} {12} = \frac {15} {6} = \frac {5} {2}\\w_ {2} = \frac {7-23} {12} = \frac {-16} {12} = - \frac {8} {6} = - \frac {4} {3}$