The answer is 0.15 message me for more help
First we'll require the derivative (slope) function.
f'(x) = 6x + 1
Next evaluate the derivative function @ x = -2
f'(-2) = 6(-2) + 1
f'(-2) = -11
Thus the slope of the tangent line @ x = -2 is m = -11
Now we can use either y = mx + b or y - y1 = m(x - x1) to find the tangent equation.
y - 4 = -11(x - (-2))
y - 4 = -11(x + 2)
y - 4 = -11x - 22
y = -11x - 22 + 4
Thus
y = -11x - 18 or 11x + y + 18 = 0 is the equation of the required tangent.
The coordinate of the circumcenter of a triangle is (1,3).
Here we have to find the coordinates of the circumcenter of a triangle.
Given data:
The vertices of the triangle are:
A = (0,1)
B = ( 2,1)
C= ( 2,5)
The formula to find the distance between the two points:
Distance =
In the same manner distance between AB, BC, and AC are:
AB =
= 2
BC =
= 4
AC =
= 2√5
So by the Pythagoras, we get to know that the triangle is a right-angle triangle.
The circumcenter of a right-angle triangle is the midpoint of the hypotenuse.
Midpoint of AC = (0+2)/2 , (1+5)/2
= 2/2, 6/2
= 1,3
Therefore the coordinate of the circumcenter is (1,3).
To know more about the circumcenter refer to the link given below:
brainly.com/question/21299234
#SPJ4
Answer:
4.0
Step-by-step explanation:
when rounded the nine adds to the whole number making it 4
Answer:
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Step-by-step explanation: