Answer:
<u>y = -x² + 4</u>
Step-by-step explanation:
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 0,4 )
So, h = 0 , k = 4
∴ y = a (x-0)² + 4
∴ y = a x² + 4
The parabola passes through points ( 2,0 )
∴ 0 = a 2² + 4
∴ 4 a = -4 ⇒ a = -4/4 = -1
∴ y = -x² + 4
So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>
See the attached figure.
Answer:
any big number
Step-by-step explanation:
Answer:
w=12 or w=2
Step-by-step explanation:
2w^2-16w=12w-48
2w^2-28w=-48
2w^2-28w+48=0
2(w^2-14w+24)=0
2(w-12)(w-2)=0
(w-12)(w-2)=0
w=12 or w=2
Answer:
Linear Pair:
∠ 1 and ∠ 2
Vertical Angles:
∠ 1 and ∠ 3
Supplementary Angles:
∠ 7 and ∠ 6
Step-by-step explanation:
Linear Pair:
A linear pair of angles is formed when two lines intersect.
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Example
∠ 1 and ∠ 2 ∠ 8 and ∠ 5 ,etc
Vertical Angles:
The angles opposite each other when two lines cross.
They are always equal.
Example
∠ 1 and ∠ 3 ∠ 8 and ∠ 6 ,etc
Supplementary Angles:
Two Angles are Supplementary when they add up to 180 degrees.
Examples two angles (140° and 40°)
All Linear pair are Supplementary angles
Example
∠ 7 and ∠ 6 ∠ 8 and ∠ 5 ,etc
Diameter=16mm, so the radius is 8. The formula for volume of a cylinder is the area of the base times height, or v=πr²h.
Substituting the values in, we get π(8²)(5.7), which gives us roughly 1146mm^3.
