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....
Answer:
6.025 as a mixed number is 6 1/40
Answer:
x ≈ 13.5
Step-by-step explanation:
Using the sine rule in the triangle, then
=
( cross- multiply )
x × sin27° = 11 × sin34° ( divide both sides by sin27° )
x =
≈ 13.5 ( to the nearest tenth )
Answer:
The arrangement of the given equation in the slope - intercept form are

Step-by-step explanation:
Given:
x + y = 4 and
y - 2x = -5
Slope - intercept form :

Where,
m is the slope of the line.
c is the y-intercept.
When two points are given say ( x1 , y1 ) and ( x2 , y2) we can remove slope by
Slope,

Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.
So, the Slope -intercept form of
x + y = 4 is 
and
y - 2x = -5 is