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sweet [91]
3 years ago
12

100k3 – 75k2 + 120k – 90

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0

Answer:

\boxed{\bold{270k-90}}

Step By Step Explanation:

Multiply: \bold{100\cdot \:3=300}

\bold{300k-75\cdot \:2k+120k-90}

Multiply: \bold{75\cdot \:2=150}

\bold{300k-150k+120k-90}

Combine: \bold{300k-150k+120k=270k}

\bold{270k-90}

- Mordancy

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A square room will have corners that meause 90°, so we need to see if any of the vertices of the bookcase measure 90°.  All right triangles have a 90° in them, so we can use Pythagorean Theorem to solve this.

 Pythagorean Theorem is  a² + b² = c²,    where a and b are the legs, and c is the hypotenuse.  Since the hypotenuse is always the longest side, for our bookshelf, 10 and 12 are the legs, and 18 would be the hypotenuse if it is a right triangle.   Plug the values in to see if the equation is true or false

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