What is the length of the shorter leg of a right triangle whose other two sides lengths are 8ft and 10ft long
1 answer:
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Answer: The correct option is A.
Explanation:
The slope intercept form is,
Where m is slope.
The point slope form is,
Where m is slope.
On Comparing the first equation with slope intercept form, we get m = -8.
On Comparing the second equation with point slope form, we get m = -2.
On Comparing the third equation with slope intercept form, we get m = 7.
On Comparing the Fourth equation with point slope form, we get m = 6.
The steepest line have greatest absolute slope value.
Since the equation 1 has greatest absolute slope value,i.e., 8 therefore option A is correct.
Given:
The function is:
The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.
To find:
The effect on the graph of the function.
Solution:
The transformation is defined as
.... (i)
Where, k is stretch factor and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:
...(ii)
On comparing (i) and (ii), we get
, it means the graph is vertically stretched by a factor of 2.
, it means the graph is shifted up 3 units.
Therefore, the correct option is D.