By using the F.O.I.L. method
Answer:
10.75 cm^2
Step-by-step explanation:
1. Area of semicircle, A= (pi x R^2) divided by 2
2. A= (3.14 x 5^2) divided by 2 = 39.25
3. Area of rectangle, A= l x w
4 A= 10 x 5 = 50
5. subtract
6. 50 - 39.25
7. 10.75
Answer:
When we have a graph of a function y = f(x) = 10^x
A vertical dilation can be made by multiplying the function by a scale factor a.
Then the dilated graph is y = g(x) = a*10^x
This means that the graph that shows the dilation is a graph that is dilated vertically in with a scale factor equal to a (if a is smaller than 1, this is called a compression).
You can look for easy points to see which is the correct graph.
For example, when x = 0, f(0) = 10^0 = 1
and the dilated graph: x = 0, g(0) = a*10^0 = a
So other characteristic of the new graph is that passes trhough the point (0, a)
The answer is X=8. Hope that helps.
Answer:
a = 16, b = 6, c = - 4, d = - 9
Step-by-step explanation:
Substitute the appropriate values of x into the equation and evaluate.
x = - 3 : y = 1 - 5(- 3) = 1 + 15 = 16 → a
x = - 1 : y = 1 - 5(- 1) = 1 + 5 = 6 → b
x = 1 : y = 1 - 5(1) = 1 - 5 = - 4 → c
x = 2 : y = 1 - 5(2) = 1 - 10 = - 9 → d
