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3 years ago

Formulas and Literal Equations

Mathematics

1 answer:

miskamm [114]3 years ago

7 0

Answer:

$x = 23$

Step-by-step explanation:

Given, $\frac{x - 5}{2} = 9$ , solve for x.

Multiply both sides by 2

$\frac{x - 5}{2} \times 2 = 9 \times 2$

$x - 5 = 18$

Add x to both sides

$x - 5 + 5 = 18 + 5$

$x = 23$

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6x-24y is the answer

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If W(4,6) and V(-3,-2) what is the length of VW

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Answer:

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Step-by-step explanation:

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3 years ago

Derive the equation of the parabola with a focus at (−2, 4) and a directrix of y = 6. Put the equation in standard form.

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4 years ago

Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are subs

Lera25 [3.4K]

Answer:

$130.2845\leq h\leq 137.7245$

Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

$|h - (2.47f + 54.10)| \leq 3.72$

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

$|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\$

If the modulus function is positive then:

$h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245$

If the modulus function is negative then:

$-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\$

multiply through by -1

$-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h$

combining the resulting inequalities, the estimate of the possible range of heights will be $130.2845\leq h\leq 137.7245$

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3 years ago