The line y=x+4 is given in slope-intercept form (y=mx+b) where m is slope and b is the y-intercept.
Parallel lines have the same slope, so we know the line will have a slope of 1. To find the equation of the new line we can plug the slope and given point into the point-slope equation defined as y-k = m(x-h) given point (h,k).
y-5 = 1(x-6)
Now solve the equation for y.
The answer is: y = x - 1
None of the choices are correct.
Dilation is one of the several means by which we can transform a graph. A function is dilated when is stretched away from an axis or compressed towards an axis. So this means there are 2 types of dilation: a) Stretch (Enlargement) and b) Compression.
Depending on the direction of Dilation, we have Horizontal Dilation and Vertical Dilation.
For a function y = f(x), horizontal dilation is achieved when x is replaced by 
and vertical dilation is achieved when y is replaced by 
where A is the scale factor.
In each of these cases, the function will be stretched if |A| > 1 and will be compressed if |A| < 1.
Therefore, the answer to the given question is:
A dilation is an enlargement if the scale factor is greater than 1.
9514 1404 393
Answer:
24.3 ft
Step-by-step explanation:
If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...
h² +6² = 25²
h² = 625 -36 = 589
h = √589 ≈ 24.3
The ladder reaches about 24.3 feet up the tree.
<span>
A)
C(102) = 102^2 – 400 = 10004
</span>C(100) = 100^2 – 400 = 9600
average rate of change = (10004<span>- 9600)/(102 - 100) = 404/2 = 202
</span>B)
C' = 2x = 2 (100) = 200
