Answer: 36 units squared.
Explanation:
Area of a traingle is given by,
| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |
Accepting the values of the coordinates in x's and y's,
x1 =0, y1=0
x2=3, y2=8
x3 =9, y3=0
= | 0.5 × (-72)|
= 36 unit squared.
Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:

Transformation 1:

Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:

Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).
First of all you need to get rid of the -27 on the left side, to do so you add 27 to both sides so it becomes:
5/8a=20
Now you can divide it by 5 to get:
1/8a=4
Now multiply it by 8 to get:
a=32
Hope this helps :)
Answer:
Step-by-step explanation:
x² - 38x + 72 = (x-2)(x-36)
Answer:
a) 47 people (count each leaf)
b) 66 - 1 = 65 (max - min)
c) 4 (occurs the most)