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4 years ago

Use parenthesis to make each number sentence true. 124 - 6 x 0 + 15 = 34

Mathematics

1 answer:

Natasha2012 [34]4 years ago

5 0

Answer:

12 - 6 x (0 + 15) = 34

How I got my answer

First, how i got my answer was that I had to solve the equation first, ignoring the answer. I got 0 x 6 = 0, then I did 124 - 0 = 124, then I did 124 - 15 = 109, which clearly isn't 34. I figured that we have to put the parentheses around the zero because if we don't, we are going have to multiply something by zero, which always gets zero. After that, I decided that I should put the parentheses around either the 6, or the 15. I did both, and saw which one was correct. If we put it around the 6, we get, 124 - (6 x 0) + 15 = 124 - 0 - 15 = 124 - 15 = 109, which isn't 34. Then I checked 124 - 6 x (0 + 15) = 124 - 6 x 15 = 124 - 90 = 34, and we just got the answer.

P.S. Sorry if it was confusing, I didn't really know how to explain it

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Answer:

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Step-by-step explanation:

Given:

The base of a triangle is 9 cm less than the three times the height. The area is 15 cm².

Now, to find the height and the base of the triangle.

Let the height of the triangle be $x.$

And then base of the triangle = $3x-9.$

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Now, we put formula to get the base and height of the triangle:

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Dividing both sides by 3 we get:

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Subtracting both sides by 10 we get:

$0=x^2-3x-10\\\\x^2-3x-10=0$

Now, solving the quadratic equation:

$x^2-5x+2x-10=0\\\\x(x-5)+2(x-5)=0\\\\(x-5)(x+2)=0\\\\\\x-5=0\ \ \ \ \ x+2=0\\\\x=5\ \ \ \ \ \ \ \ \ \ x=-2$

Hence, the negative result is not to be taken so, we take the positive result.

Thus, the height is 5 cm.

Now, substituting the value of $x$ to get the base:

$3x-9\\\\=3\times 5-9\\\\=15-9\\\\=6\ cm.$

Hence, the base is 6cm.

Therefore, the height is 6 cm and the base is 5 cm.

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