Answer:
Below.
Step-by-step explanation:
Yes - those are 2 semicircles so their combined area = πr^2
= 3^2π
= 9π.
Answer:
B. x < -4 and x > 3
Step-by-step explanation:
Factor and set = to 0
= 0
x = - 4 or x = 3 I call these critical values
The two numbers would divide a number line into 3 intervals. Pick a value in one of the intervals and put it in the original expression. If it makes the function positive, then all the values in that interval make the function positive. If the value you picked makes the function negative, then the values in the other intervals will make the function negative. Let's pick the value of 0 and substitute it into the function
We get
+ 0 - 12 = -12 which is not positive. Therefore, all the values between -4 and 3 will make the function negative. So, the values less than -4 or greater than 3 will make the function positive. Therefore, B is the correct answer.
Another way to do this problem is to graph the function and see where the graph is above the x-axis. But, sometimes it is not easy to graph the function.
Do 360/5 and you will get your answer
Answer:
The equation of this line would be y = 4x - 5
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is 4, which means the new slope will also be 4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line.
y - y1 = m(x - x1)
y - 3 = 4(x - 2)
y - 3 = 4x - 8
y = 4x - 5
Tan 32 = f/18
f = 18 × tan 32
= 11.25
= 11 ( to 2 sf)
Hope it helped