Answer:
Perpendicular bisector - A line that bisects another line into two equal halves so that four right angles are created.
Cylinder - A 3D solid with circles as its bases.
Plane - A flat, 2D surface that extends infinitely.
Regular Polygon - A polygon where all angles and all sides are equal (ex. square, pentagon, triangle).
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 answer is: 81%
Step-by-step explanation:
Divide 405 by 500 and multiply result by 100 to get percent.
405 / 500 = 0.81
0.81 x 100 = 81%
Hope this Helps!! Have an Awesome Day!!
Answer:
6x³
Step-by-step explanation:
X x X = x² + 4x + 2x = 6x³
Answer:
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
Step-by-step explanation:
Let
Claire stickers= x
Josh = 2x
Ann= 2x + 7
Total stickers = 157
Total stickers = Claire stickers + Josh stickers + Ann stickers
157 = x + (2x) + (2x+7)
157 = x + 2x + 2x + 7
157 = 5x + 7
Subtract 7 from both sides
157 - 7 = 5x + 7 - 7
150 = 5x
Divide both sides by 5
150/5 = x
30 = x
x = 30
Claire stickers= x
=30 stickers
Josh = 2x
= 2(30)
= 60 stickers
Ann= 2x + 7
= 2(30) + 7
= 60 + 7
= 67 stickers
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
