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Kitty [74]
3 years ago
12

Write the equation the line in slope-intercept form. Slope is 3, and (1, 5) is on the line. m = ? To find b (the y-intercept), s

ubstitute ? in for m, ? in for x and ? in for y into y=mx+ b. b = ? The equation should be y= ? x + ?
Mathematics
1 answer:
Katen [24]3 years ago
4 0

Answer:

The value of b is 2  and The equation of line is y = 3 x + 2 .  

Step-by-step explanation:

Given as :

The slope of line is 3

The points through which line passes is ( x , y ) = ( 1 , 5 )

Now,

The equation of line in slope-intercept form

y = m x + c

Where x and y are the points on axis

m is the slope of line

c is the constant term

∵ Line y = m x + b , passes through point ( 1 , 5 ) having slope m = 3

So ,  5 = 3 × 1 + b

Or,   5 =  3 + b

∴  b = 5 - 3

I.e b = 2

So, The equation can be written as

y = 3 x + 2

Hence The value of b is 2  and The equation of line is y = 3 x + 2 .  Answer

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Evaluate the expression when p = 4. p^2+5 no links pls ​
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An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri’s Principle to calculate
kotegsom [21]

Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

<h3>What is the height of the oblique cylinder?</h3>

From Cavalieri's principle, the volume of an oblique cylinder is expressed as;

V = base area × h

V = πr² × h

Given that;

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V = πr² × h

486πcm³ = π × ( 9cm )² × h

486πcm³ = π × 81cm² × h

486πcm³ = 81πcm² × h

h = 486πcm³ / 81πcm²

h = 6cm

Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

Learn more on volume of cylinder here: brainly.com/question/16788902

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6 0
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56/90

" / " means divide

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2 years ago
Read 2 more answers
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