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3 years ago

What is the slope of line 4x+6y=24

1 answer:

3 0

Y=mx+b
m is the slope
you need to get y on one side and all other numbers on the other
so here's the easiest way to do it:
just kinda take 4x (which is a positive number) and move it to the other side and change the sign. so then it turns into 6y=-4x+24 and then you divide both sides by 6 so then you get y=-4/6x+4 (4 over 6 like a fraction)
-4/6 is the slope

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MatroZZZ [7]

Answer:

The formula for the area of the triangle is:

$\displaystyle A=24x^2$

When x = 3, the area is 216 square centimeters.

When x = 2.4, the area is 138.24 square centimeters.

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Step-by-step explanation:

We are given a right triangle with a height of 8x and a base of 6x.

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 x = 2.4, the area will be:

$A(2.4)=24(2.4)^2=138.24\text{ cm}^2$

When x = 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

$a^2+b^2=c^2$

So:

$(40)^2+(30)^2=c^2$

The hypotenuse will be:

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Eva8 [605]

Answer:

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0.10 or 10% of the students take all 3 courses.

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