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vaieri [72.5K]
2 years ago
9

Six times the difference of a number and three is equal to three less than the number.

Mathematics
1 answer:
icang [17]2 years ago
3 0

Answer:

x=3

Step-by-step explanation:

lets take x as the number

so

6(x-3)=x-3

since it says "6 times" we know that we will have to multiply the difference by 6  and it says the difference of a number and 3 is equal to 3 less than the number so we know that we are subtracting 3 from x

6x-18=x-3

6x-x=18-3

5x=15

x=3

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using the pythagorean theorem we have that

\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}

Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.

Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.

Finally we add up all the areas:

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<u>Step-by-step explanation:</u>

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The only graph that matches is the last one, <em>which I called graph D.</em>

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