Answer:
Step-by-step explanation:
Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0: 2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.
Now do the same thing with
-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4. Thus, this function is not continuous at x = 2.
We must reject statement A.
Statement B: as x increases without bound, (1/2)x + 3 also increases without bound. This statement is true.
Statement C: False, because the quadratic -x^2 - 4x + 1 has a maximum at
x = -b/[2a], or x = -(-4)/[-2], or x = -2
Statement D: True: there are no limitations on the values of the input, x.
Answer: 8.75 is the correct answer
Step-by-step explanation:
I'm big brain.
The correct answer is: (x + 2)^2 + (y - 1)^2 = 25
Step-by-step explanation:
Given
Point on circle = P = (-5,-3)
Centre = C = (-2,1)
The distance between C and P is the radius of circle.
So,
Hence,
r = 5 units
The general form of equation of circle is:
Here (h,k) are the coordinates of circle
(h,k) = (-2,1)
Putting the values in standard equation
Hence,
The correct answer is: (x + 2)^2 + (y - 1)^2 = 25
Keywords: Circle, equation of circle
Learn more about equation of circle at:
#LearnwithBrainly
Answer.
It is Important to open the compass more than half the length so that the arcs made would meet.
Explanation.
When you want to construct a perpendicular line to a line segment, say line AB, the follow steps are taken;
1) Open your compass to a radius greater than half the line AB.
2) With A as your center make an arc on top and below line AB.
3) Using the same radius and with B as our center, make other arcs on top and below line AB to meet the first arcs on both sides of the line.
4) Join the two intersection of the two arcs to cut line AB at M.
In so doing the line AB is said to be bisected perpendicularly. If the compass was opened less than half line AB, then the arcs could not have meet.
