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....
64^x=16^x-1====> Make the bases the same
4^3(x)=4^2(x-1)=> Solve for x by bringing down the exponent without the base.
3(x)=2(x-1)=====> Distribute
3x=2x-2======> Now solve for x
3x = 2x-2
-2x -2x
x=-2
Therefore x is negative two
Answer:
21,22,23
Step-by-step explanation: i love fried chicken look at my skin color
Answer:
A = 413 sq feet
Step-by-step explanation:
The area of the yard = area of rectangle - area of semicircle
The radius of the semicircle, r = 10 feet
The length of the rectangle = 38.5 - 10 = 28.5 feet
So,
The area of the yard = lb - (πr²/2)
So, the required area is equal to 413 sq feet.
Quartic => polynolial degree 4, i.e. the highest exponent of the variable is 4
trinomial=> three terms
leading coefficient = the coefficient in front of the term with the highest exponent.
standard form=> ax^4 + bx^3 + c^2 + dx + e
Solution:
2x^4 + x^3 + 0x^2 + 0x + 30
which is equal to 2x^4 + x^3 + 30: this is a quartic trinomial with leading coefficient 2, written in standard form.
