According to the graph, what is the value of the constant in the equation below?
2 answers:
<h3>Answer: A) 20</h3>
Explanation:
The equation rearranges to
To find the constant, we simply multiply the x and y coordinates of any of the point shown:
- constant = x*y = 4*5 = 20
- constant = x*y = 5*4 = 20
- constant = x*y = 10*2 = 20
- constant = x*y = 20*1 = 20
The general equation is y = 20/x, which rearranges to xy = 20.
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Answer:
The value of x is 5 centimeters.
Therefore, option 3 is correct.
Step-by-step explanation:
A triangle has three sides 3,x and 4 cms
Since the triangle is right angle triangle so, it will follow the Pythagoras theorem:
(1)
We have been given three sides x,3 and 4
On substituting the values in (1) we get:
Hence, the value of x is 5 centimeters.
Therefore, option 3 is correct.
Please look at the attachment for the figure.
Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.
We have to determine the equation of the line passing through the point (2,-5) and parallel to the line
When two lines are parallel, then the slopes of the two lines are equal.
Equation of line with point and slope 'm' is given by:
Since, we have to determine the equation of a line with point (2,-5).
So, the equation of the line is :
Since, the line is parallel to the line
So,
So, slope of the line 'm' is .
Therefore, the equation of the line is:
Therefore, is the required equation of the line.