X= shift tan 0.3
x=16.6992≈17
6 days* 24 hours per day= 144 hours
Final answer: 144 hours
Answer:
y = -4/5x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation in slope-intercept form
5y = -35 - 4x
y = -7 - 4/5x
Step 2: Write parallel line equation
y = -4/5x + 5
A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.
Answer:4
Step-by-step explanation:
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
