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Svetlanka [38]
3 years ago
6

Use inverse operation to solve the question 2/3z = -4 Z= ?

Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer:

z=(-6)

Step-by-step explanation:

(2/3)*z=(-4)

2*z=3*(-4) --> We move the 3 from the left to the right part of the equation. It was dividing, so we move it multiplying.

2*z=(-12)

z=(-12)/2 --> It's the inverse case of before. 2 was multiplying, so we move it to the right by dividing it.

z=(-6)

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
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The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

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Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

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Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

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