What are the 12 rules of shading inequalities?

1 answer:

ivann1987 [24]3 years ago

3 0

I don't know all 12, but I can tell you some.

1. Shade the side of the line that satisfies the inequality.
2. If the inequality sign has an "or equal to" line under it, make the line on the graph connected.
3. If the inequality sign does not have an "or equal to" line under it, make the line on the graph dashed.
4. Isolate y (or the variable that is being used), and keep it on the left side of the inequality.

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Please solve much appreciated

tankabanditka [31]

Answer:

<u>Two equivalent fractions with whole numbers may be 180/150, or 6/5</u>

<u>The height of the tree is 39.6 feet.</u>

Explanation:

The diagram provides the proportion of the heights to the shadows:

$\frac{x}{33}=\frac{1.8}{1.5}$

From that you are asked (i) to simplify the fraction of the right side to one with whole numbers.

You can do that in two steps by multiplying both numerator and denominator by 10:

$\frac{1.8\times 10}{1.5\times 10}=\frac{180}{150}$

You can simplify that fraction if you divide by the greatest common factor of 180 and 150, which is 30:

$\frac{180/30}{150/30}=\frac{6}{5}$

The second part (ii) asks to find the height of the tree, that is x. To solve for x you can multiply both sides by the denominator of the fraction on the left and then simplify:

$\frac{x}{33}=\frac{6}{5}\\ \\ x=\frac{6\times 33}{5}\\ \\ x=\frac{198}{5}=39.6$