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stich3 [128]
2 years ago
10

Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2). y =

x +
Mathematics
1 answer:
Vika [28.1K]2 years ago
6 0

Answer:

y = x+12

Step-by-step explanation:

Parallel => <u><em>This means it has the same slope as this one.</em></u>

Slope = m = 1

Now,

Point = (x,y) = (-6,2)

So, x = -6, y = 2

<u><em>Putting this in slope intercept form to get b</em></u>

y = mx+b

=> 2 = (1)(-6) + b

=> b = 2+6

=> b = 8

<u><em>Now putting m and b in the slope-intercept form to get the required equation:</em></u>

=> y = mx+b

=> y = x+12

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The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder wi
klasskru [66]

The number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

In the question, we are given that the radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.

We are asked to find the number of times one needs to use the completely filled cone to completely fill the cylinder with water.

The volume of a cylinder is calculated using the formula, V = πr²h.

The volume of a cone is calculated using the formula, V = (1/3)πr²h.

In both the formulas r is the radius and h is the height.

The volume of the given cylinder using the formula is π(10)²(20) cm³ = 2000π cm³.

The volume of the given cone using the formula is (1/3)π(5)²(10) cm³ = (250/3)π cm².

The number of times one needs to use the completely filled cone to completely fill the cylinder with water =

The volume of the given cylinder/The volume of the given cone,

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = {2000π cm³}/{(250/3)π cm²},

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = 24.

Thus, the number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

Learn more about the volume of a cylinder and cone at

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8 0
1 year ago
"8% of a number is 20."
andreyandreev [35.5K]

Answer: 250

Step-by-step explanation:

5 0
2 years ago
If √6 is the geometric mean between 4 and another number, then the number is
joja [24]
If you have two numbers x, y.  The geometric mean is:  √xy

For 4 and x.  Geometric Mean =  √4x  and this is equal to √6

             √4x  =  √6     Square both sides.  The square root disappears.

               4x = 6 
                 x  = 6/4 = 3/2 = 1.5

The other number is 1.5.

 
4 0
2 years ago
Which method is better for solving the following equation?<br> 4x2+7x -8= 0
julsineya [31]
Order of operations
7 0
2 years ago
What is the slope of the line that is perpendicular to the line whose equation is 2x+y=4??
zmey [24]

Answer:

The slope would be 1/2

Step-by-step explanation:

y= mx +b

m= slope

perpendicular lines have slopes that are multiplied in order to get -1

<em>these are important</em>

<em></em>

2x + y = 4

<u><em>subtract 2x</em></u>

y=-2x +4

your slope is -2

-2 * ? = -1

? = -1/-2

? = 1/2

6 0
2 years ago
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