Answer:
T = 3
Step-by-step explanation:
To find the period, find the distance it takes to complete one cycle.
Answer:
Least common multiple (LCM) of 12 and 24 is 24.
Step-by-step explanation:
Answer:
140°
Step-by-step explanation:
The sum of angle of a triangle is equal to 180°.
Two of the angles measured 20°.
We need to find the measure of the third angle of Nora’s triangle. let the third angle is x. So,
20+20+x = 180
40+x = 180
x = 180-40
x = 140°
So, the third angle of the triangle is 140°.
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:
120 units^2
Step-by-step explanation:
(12)(5)(0.5)(2) + (12)(2) + (13)(2) + (5)(2) = 120 units^2
