Answer:-12
Step-by-step explanation:
Answer:
option: C is correct.
Step-by-step explanation:
since, we are given a parent function f(x) as: f(x)=x.
We are asked to find what change will occur in the function when the parent function f(x) is replaced by f(9x).
let g(x) be the function formed by replacing f(x) with f(9x) i.e.
g(x)=f(9x)=9x.
clearly the slope of the function g(x)=f(9x) is 9. ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).
whereas the slope of the function f(x)=x is 1.
Hence there is an increment of slope by a factor of 9.
Hence, option C is correct.
Answer:
1. B 2. B 3. D 4. A 5. A 6. A 7. B 8. C
Step-by-step explanation:
1. 6 and 8 are right next to each other. Making them 'adjacent angles' as 'adjacent' means 'next to'
2. 2 and 3 are vertically opposite angles, and these angles are equal to each other
3. 3 and 6 are alternate angles. These angles form a 'Z' shape
4. Similar to q2, 1 and 4 are vertically opposite angles
5. Yes they are similar because there are two angles which equal
6. The angles of the big triangle will correlate to the small triangle, therefore x is 40
7. Similar triangles will have the same angles. The top angle of the small triangle is 60, as stated in the big triangle, and 70 is given. The sum of interior angles of a triangle is 180. So, add 60 and 70, then minus from 180
8. Again, same concept as q7, the angles are given to you and you just need to correspond each angle to its respective area, then minus the total of the two given angles from 180
Hope this helped you!!
Answer:
105.12 feets
Step-by-step explanation:
From the figure x we can identify a rectangle and a semicircle :
Area of rectangle = Length * width
Area = 8 * 10 = 80 feet²
The Area of a semicircle = 1/2πr²
Radius, r = 8 /2 = 4 feets
A = 1/2 * 3.14 * 4²
A = 3.14 * 8
A = 25.12 feet²
Area of figure = 80 + 25.12 = 105.12 feets
