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2 years ago

What is the slope of a line whose equation is 5y + 6 x - 2 =0

Mathematics

2 answers:

RoseWind [281]2 years ago

8 0

5y= -6x+2
5y/5 =-6x/5 +2/5
y = -1.2x +0.4

the slope is -1.2 and y intercept is 0.4

Svetlanka [38]2 years ago

5 0

5y+6x-2=0 ---------------Original Equation

2+5y+6x-2=0+2 --------Add 2 on both sides of the equal sign

5y+6x=2

6x-5y+6x=2-6x----------Subtract 6x on both sides of the equal sign

5/5y= -6x+2/5-------------Divide by 5 on both sides of the equal sign

y= -6/5x+2/5

<h3>So the slope would be -6/5.</h3>

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The Halloween conical hat, with given height, circular base and brim

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Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

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Known parameters;

Height of the conical portion, h = 18 inches

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Part a. Slant height of the conical portion; Required

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The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

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According to Pythagoras's theorem, we have; s² = r² + h²

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s = The slant height of the cone

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Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

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The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

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