2 years ago

Put into slope intercept form:(-4, 1); m= -2/3

1 answer:

7 0

Y = mx + b
slope(m) = -2/3
(-4,1)...x = -4 and y = 1
now we sub and find b, the y int
1 = -2/3(-4) + b
1 = 8/3 + b
1 - 8/3 = b
3/3 - 8/3 = b
-5/3 = b

so ur equation is : y = -2/3x + (-5/3) which can be written as : y = -2/3x - 5/3

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A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer

choli [55]

<h2>Answer:</h2>

The area of the top surface of the washer is: 160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

$Area=\pi (R^2-r^2)$

where R is the outer radius and r is the inner radius.

Here we have:

$R=10\ mm\\\\and\\\\r=7\ mm$

Hence, we have:

$Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2$