9514 1404 393
Answer:
see below
Step-by-step explanation:
Starting from the point-slope equation ...
y -y1 = m(x -x1)
Solving for y gives ...
y = mx +(y1 -m·x1)
So, the slope-intercept form equation is fairly easily found:
y = mx +b . . . . where m = m, and b = y1-m·x1
This is the equation we have used for 'b' in the attached spreadsheet.
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Of course, the formula for slope is ...
m = (y2 -y1)/(x2 -x1)
This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)
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The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)
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I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:
y = mx +b
1. y = 2x -7
3. y = 2/3x +4
8. y = 1/3x -5
9. y = -5/2x +4
Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:

where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:

The ratio of the lateral area of the cone to the lateral area of the cylinder is:

Canceling out, we have:

Hence the Answer is option B
Answer:

Step-by-step explanation:
Answer:
150
Step-by-step explanation:
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Answer:
1/7 is greater than 1/10 using coordinates and its area of the division concept.
Step-by-step explanation:
We have to draw two identical rectangles and have to shade them.
Here is the diagram attached with.<em> (With some approximation)</em>
We can see that
.
Rectangles are identical.
When we look upon
it can be observed that each division on the coordinate plane have 2 boxes only...
Where as
fraction consists more than 2 boxes ..
So we can say that the area covered for each division in
is more than that of
.
Mathematical concept:
If the numerator are same then to compare fractions we look upon denominators values.
Greater the denominator lesser is the fraction values.
So,
Finally we can say that 1/7 is greater than 1/10 .