Answer:
y = x² + 2x + 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here the vertex = (- 1, 4), thus
y = a(x + 1)² + 4
To find a substitute (0, 5) a point on the graph into the equation
5 = a(0 + 1)² + 4
5 = a + 4 ( subtract 4 from both sides )
a = 1, thus
y = (x + 1)² + 4 ← expand and simplify
= x² + 2x + 1 + 4
= x² + 2x + 5
Answer:
The number of ordered arrangements of n objects taken r at a time.
Step-by-step explanation:
9 divided by 3 is 3
3 minus 2 is 1
1 divides by 1 is 1
9/3=3
3-2=1
1/1=1
I hope this helped
1/2 of the side length p= 1/2 x 4 =2
centre angle=360/6=60 degrees
The APOTHEM bisects or divides the centre angle into two equal angles
1/2 of the centre angle=60/2=30 degrees
tan 30 degrees = 2/APOTHEM
APOTHEM=2/tan 30= 3.46 cm
The APOTHEM is the perpendicular height of the equilateral triangle given in the diagram.
Area of the equilateral triangle
=1/2 x 4 x 3.46
=6.93 cm^2
Area of the regular hexagon= 6 x area of the equilateral triangle= 6 x 6.93 =41.6 cm^2
Hope this helps!
Answer:
Step-by-step explanation:
(1225)(1516)
=1857100
