Answer:
12.5π units²
Step-by-step explanation:
Area of a semi-circle = πr²/2
Radius = diameter/2
Radius = 5
Therefore, the area of the semi-circle = 12.5π units²
Answer:
y = {1, 3, 7}
Step-by-step explanation:
Given
y = ½x + 3
Domain: {-4, 0, 8}
Required
Determine the range of the function
To do this, we simply substitute each value of the domain in the given expression
We start with the first
Substitute -4 for x in y = ½x + 3
y = ½ * -4 + 3
y = -2 + 3
y = 1
Then 0
Substitute 0 for x in y = ½x + 3
y = ½ * 0 + 3
y = 0 + 3
y = 3
Lastly, 8
Substitute 8 for x in y = ½x + 3
y = ½ * 8 + 3
y = 4 + 3
y = 7
Hence, the range of the function is:
y = {1, 3, 7}
Answer:
0
Step-by-step explanation:
Simplifying
x2 + -4x + -12 = 0
Reorder the terms:
-12 + -4x + x2 = 0
Solving
-12 + -4x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-2 + -1x)(6 + -1x) = 0