Answer:
The correct option is:
h = 1, k = 16
Step-by-step explanation:
y=4x^2-8x+20 =0
It is a quadratic formula in standard form:
ax^2+bx+c
where a = 4 , b = -8 and c=20
The vertex form is:
a(x − h)2 + k = 0
h is the axis of symmetry and (h,k) is the vertex.
Calculate h according to the following formula:
h = -b/2a
h= -(-8)/2(4)
h = 8/8
h = 1
Substitute k for y and insert the value of h for x in the standard form:
ax^2+bx+c
k = 4(1)^2+(-8)(1)+20
k = 4-8+20
k=-4+20
k = 16
Thus the correct option is h=1, k=16....
We have two points describing the diameter of a circumference, these are:
Recall that the equation for the standard form of a circle is:
Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.
For this we use the following equation:
Now, we replace and solve:
The center of the circle is (-8,-7), so:
On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:
In this case, we will solve the delta with the center coordinate and the B coordinate.
Therefore, the equation for the standard form of a circle is:
In conclusion, the equation is the following:
If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.
- Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.
- To find the average, sum all the values in the set. Then divide the total by the number of values.
We have the current examination mean, xold = 97.2
Now, we receive, x = 99 on the next examination, the new mean will be:
xnew = (xold + x)/N
xnew = (97.2+99)/2
xnew = 196.2/2
xnew = 98.1
The new average is 98.1
98.1 > 97.2
So if you score 99 on your next exam, your average will increase.
Learn more about mean here
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