15. The formula is a^2+b^2=c^2. So you just plug in the 9 and 12 in the a and b. You get 225. You then take the square root of that and get 15.
y = 2x
Step-by-step explanation:
The linear functions are given by:
y = mx+b
To find the slope, we have to find the change in x and y
The change in x is:

The change in y is:

The slope is:

Putting slope in equation of linear function

To find the value of b, we will put any pair of input and output in the slope-intercept form
So, putting (14,28)

Hence,
the linear equation for function is:
y = 2x
Keywords: Linear function, slope intercept form
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Answer : Remaining two observation becomes 97 and 107.
Explanation :
Since we have given that
Mean = 100
Modal value = 98
Range = 10
As we know that ,
Range = Highest-Lowest
Let highest observation be x
Let lowest observation be y
So equation becomes x-y=10 ----equation 1
So, observation becomes
x,98,98,y
Now, we use the formula of mean i.e.
Mean = 
So, mean =
So our 2nd equation becomes
x+y=204
On using elimination method of system of linear equation on these two equation we get,
x=97
and

Hence , remaining two observation becomes 97 and 107.
In this number 800 is 10 times as much as what number. To answer the query we can illustrate this problem into a mathematical equation of
1. 10 x N = 800
2. 10N = 800
3. N = 800/10
4. N = 80
the answer is 80.
Hope this helps!