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2 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

ELEN [110]2 years ago

7 0

The answer is A) (3,2)

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How do you write 53% as a fraction in lowest terms

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Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers

AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

$A = \frac{1}{2}\cdot n \cdot (n+1)$

$A = \frac{1}{2}\cdot (n^{2}+n)$

$A = \frac{n^{2}}{2}+\frac{n}{2}$

$n^{2}+n = 2\cdot A$

Where $n$ is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

$n^{2}+n -2\cdot A = 0$ (1)

If we know that $A = 17.5\,cm^{2}$ , then the shortest length of the triangle is:

$n_{1} = 5.437\,cm$ and $n_{2} \approx -6.437\,cm$

Since length is a positive variable, the only possible solution is:

$n\approx 5.437\,cm$

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

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2 years ago

From the set 1/2/3/4/5 which values make the inequality n + 1 > true?

saul85 [17]

Hi there!

To make n+1>4 true, you must have n be a numebr greater than 3...

The reason why is because if it is less than 3 or 3, it’ll have to be <.

The two numbers that can make this equation true is 4 and 5...

$4+1=5>4$

$5+1=6>4$

And if it is 1,2, and 3 it would be:

$1+1=2$

$2+1=3$

$3+1=4=4$

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