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3 years ago

Square ABCD has a diagonal of 8 inches long. How many square inches is the area of the shape?

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

4 0

Area A of a square with side length a: A = a².

Pythagoras theorem: a² + b² = c²

2*a² = 8²

A = 8²/2

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3 years ago

What is the equation of the line that passes through (-3,-1 ) and has a slope of 3/5

vfiekz [6]

The point-slope form:

$y-y_1=m(x-x_1)$

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$y-(-1)=\dfrac{3}{5}(x-(-3))\\\\y+1=\dfrac{3}{5}(x+3)\qquad\text{use distributive property}\\\\y+1=\dfrac{3}{5}x+\dfrac{9}{5}\qqua\text{subtract 1 from both sides}\\\\y=\dfrac{3}{5}x+\dfrac{4}{5}\qquad\text{multiply both sides by 5}\\\\5y=3x+4\qquad\text{subtract 3x from both sides}\\\\-3x+5y=4\qquad\text{change the signs}\\\\3x-5y=-4$

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