Given:
The given equation is
To find:
The vertex, focus, and directrix.
Solution:
The equation of a parabola is
...(i)
where, (h,k) is vertex, 
and directrix is 
We have,
It can be written as
...(ii)
On comparing (i) and (ii), we get
Vertex of the parabola is (2,3).
Therefore, the focus of the parabola is 
.
Directrix of the parabola is
Therefore, the directrix of the parabola is .
9514 1404 393
Answer:
34.58 in
Step-by-step explanation:
Relative to the angle marked in this right triangle, the side given is the "adjacent" side, and the side length wanted is that of the hypotenuse. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
Solving for the hypotenuse, we get ...
NP = (29 in)/cos(33°) ≈ 34.58 in
The amount of paper that Lemon needs for the actual poster will be 8 square feet.
<h3>What is a rectangle?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The dimension of the poster is 10 cm by 20 cm.
And the scale factor will be 5 cm is equal to 1 ft.
Then the dimension of the poster will be 2 ft by 4 ft.
Then the amount of the paper that Lemon needs for the actual poster will be
Area = 2 × 4
Area = 8 ft²
More about the rectangle link is given below.
brainly.com/question/10046743
#SPJ1
Answer:
175.84
Step-by-step explanation:
multiply all three numbers together
(3.14 * 4 * 14)
Answer:
60.84 m
Step-by-step explanation:
The perimeter is the distance around
The distance around the 3 sides of the rectangle are
15+12+15
42
Now we are going 1/2 way around the circle
That is 1/2 of the circumference
1/2 C = 1/2 pi *d
= 1/2 pi *12
= 6pi
Using 3.14 for pi
= 6 (3.14)
=18.84
Add these together
42+18.84
60.84 m
