Answer:
4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x - 7 ← is in slope- intercept form
with slope m = 4
For a linear function the slope is the measure of it's rate of change.
Thus rate of change is 4
The area of a rectangle is simply width * length,
well, you have both, so is just their product
Answer:
Please see the explanation.
Step-by-step explanation:
Let
By the first principle
![=\lim _{h\to 0}\left[\frac{cos\:x\:cos\:h-sin\:x\:sin\:h\:-\:cos\:x}{h}\right]](https://tex.z-dn.net/?f=%3D%5Clim%20_%7Bh%5Cto%200%7D%5Cleft%5B%5Cfrac%7Bcos%5C%3Ax%5C%3Acos%5C%3Ah-sin%5C%3Ax%5C%3Asin%5C%3Ah%5C%3A-%5C%3Acos%5C%3Ax%7D%7Bh%7D%5Cright%5D)
![=\lim _{h\to 0}\left[\frac{-cos\:x\left(1-cos\:h\right)-sin\:x\:sin\:h\:}{h}\right]](https://tex.z-dn.net/?f=%3D%5Clim%20_%7Bh%5Cto%200%7D%5Cleft%5B%5Cfrac%7B-cos%5C%3Ax%5Cleft%281-cos%5C%3Ah%5Cright%29-sin%5C%3Ax%5C%3Asin%5C%3Ah%5C%3A%7D%7Bh%7D%5Cright%5D)
![=\lim _{h\to 0}\left[\frac{-cos\:x\left(1-cos\:h\right)\:}{h}-\frac{sin\:x\:sin\:h}{h}\right]](https://tex.z-dn.net/?f=%3D%5Clim%20_%7Bh%5Cto%200%7D%5Cleft%5B%5Cfrac%7B-cos%5C%3Ax%5Cleft%281-cos%5C%3Ah%5Cright%29%5C%3A%7D%7Bh%7D-%5Cfrac%7Bsin%5C%3Ax%5C%3Asin%5C%3Ah%7D%7Bh%7D%5Cright%5D)
G(9,-3) being dilated by a scale factor of 1/3 is G'(3,-1) so D. All I did was divide the coordinates by 3 and there you go.
Answer:
$12,500
Step-by-step explanation:
There are 125 people that bought a season pass so just multiply the number of people by the cost that each pass costs.
