Step-by-step explanation:
if a^2 +b^2 <c^2,
then abc is not a right triangle since for a right triangle a^2+ b^2 = c^2
Answer:
1100 square inches
Step-by-step explanation:
The faces are all rectangles (area = length x width)
Area of bottom: 20 x 10 = 200
Area of front: 20 x 15 = 300
Area of back (same as front) = 300
Area of right side: 10 x 15 = 150
Area of left side (same as right side) = 150
Total of all the sides: 1100
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
