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Tanzania [10]
3 years ago
14

A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?

Mathematics
1 answer:
DiKsa [7]3 years ago
8 0
If the line passes through the points (-5,2) and (10,-1), then the equation of the line will be y= -1/5x+1
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Answer:

The formula for the area of the triangle is:

\displaystyle A=24x^2

When <em>x</em> = 3, the area is 216 square centimeters.

When <em>x </em>= 2.4, the area is 138.24 square centimeters.

And when <em>x</em> = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8<em>x</em> and a base of 6<em>x</em>.

The area of a triangle is given by the formula:

\displaystyle A=\frac{1}{2}bh

So, by substitution:

\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2

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\displaystyle A(3)=24(3)^2=216\text{ cm}^2

And when <em>x</em> = 2.4, the area will be:

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By the Pythagorean Theorem:

a^2+b^2=c^2

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The hypotenuse will be:

c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}

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