Answer:
See below
Step-by-step explanation:
13*1 = 13
13*2 = 26
13*3 = 39
13*4 = 52
13*5 = 65
13*6 = 78
13*7 = 91
13*8 = 104
13*9 = 117
13*10 = 130
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
Answer:
The function would be linear because the rate of change is constant.
Step-by-step explanation:
Given
per minute
See attachment for complete question and options
First, we write the function that calculates the cost (C(t)) for t minutes.
This is calculated as:
Rewrite as:
A function that has the above format is referred to as a linear function which has the general format
Where
m represents the slope/rate and it is constant
From the list of given options, (a) is correct.
A 90 degree clockwise rotation will leave the sides with the same length,
will leave the angles the same , it will only change the position of the triangle.
The rotated triangle will be congruent to the original triangle
Answer:
Step-by-step explanation:
we know hat
<u><em>Vertical Angles</em></u> are the angles opposite each other when two lines cross. They are always congruent.
In this problem
----> by vertical angles
we have
---> given problem
therefore
