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Natalija [7]
2 years ago
8

Define the axis of symmetry, vertex, focus and directrix for

Mathematics
1 answer:
Papessa [141]2 years ago
8 0

Answer:

  see attached

Step-by-step explanation:

The equation is in the form ...

  4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance

Comparing this to your equation, we see ...

  p = 4, (h, k) = (3, 4)

p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...

  vertex: (3, 4)

  axis of symmetry: x = 3

  focus: (3, 8) . . . . . 4 units up from vertex

  directrix: y = 0 . . . horizontal line 4 units down from vertex

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Area between two shapes. Geometry IXL pls help !
uysha [10]

Answer:

The answer to your question is A = 441.50 km²

Step-by-step explanation:

Data

Big triangle           Small triangle

base = 33 km       base = 19 km

height = 40 km     height = 23 km

Process

1.- Calculate the area of the big triangle

Area = base x height / 2

Substitution

Area = 33 x 40 / 2

        = 1320 / 2

        = 660 km²

2.- Calculate the area of the small triangle

Area = 19 x 23 / 2

        = 437 / 2

        = 218.5 km²

3.- Subtract the small area to the big area

Share area = 660 - 218.5

                 = 441.50 km²

4 0
3 years ago
Read 2 more answers
Use your shapes to create a new shape with an area of 1 square unit that is not a square. Trace your shape.
Elena-2011 [213]

A new shape with an area of 1 square unit that is not a square can be formed by combining two small triangles

<h3>How to determine the new shape?</h3>

The given parameters are:

  • Area of square = 1 square unit
  • Large triangles = 2
  • Medium triangles = 1
  • Small triangles = 4

The area of each small triangle is:

Area = 0.5 square unit

Multiply both sides by 2

2 * Area of triangle = 1 square unit

Substitute Area of square = 1 square unit

2 * Area of triangle = Area of square

This means that a new shape can be formed by combining two small triangles

Read more about area at:

brainly.com/question/24487155

#SPJ1

7 0
2 years ago
Write the equation of the line that passes through points (3,5) and (5,3)
Citrus2011 [14]

Answer:

6AM the best of your eyebrows to make it a new thing and t it already does abm have the right kind to make it a better t and more important for you but you will need more of your time and t for your work out there to make your own business easier for you than to make your life a new one you will have the best of luck and your life is not going on for a year to come back in a week to a time when u are a member or not a new person and t you want your life and

4 0
3 years ago
A(n) _____ is a statement whose proof can be deduced directly from a previous theorem. auxiliary line remote interior angle coro
bekas [8.4K]

Answer:

The words in order are:

  • corollary
  • obtuse
  • isosceles

Step-by-step explanation:

A corollary is a quick conclusion of a theorem. The proof of a corollary is rather short, compared to the proofs of theorems and other propositions. For example, if you consider the theorem "the area of a circle of radius r is πr²" then an inmediate corollary is "the area of a semicircle of radius r is πr²/2".

Triangles can be classified according to their interior angles. The three types of triangles are acute, right and obtuse. Obtuse triangles are those that have an inner obtuse (>90°) angle. Right triangles have an inner right (=90°) angle, and acute triangles have 3 acute (<90°) inner angles.

Similarly, triangles can be classified according to their sides, as equilateral, isosceles and scalene. Equilateral triangles have all their 3 congruent sides, isosceles triangles have at least 2 congruent sides, and scalene triangles have no congruent sides.

8 0
3 years ago
Pls answer a b and c
monitta

Answer:

<u>Given</u>

  • r = 1.6 cm
  • h = 6.2 cm

a.

<u>Volume of the half-sphere:</u>

  1. V/2 = 1/2*4/3*πr³ = 2/3*3.14*1.6³ = 8.6 cm³ (rounded)

b.

<u>Volume of the cylinder:</u>

  • V = πr²h = 3.14*1.6²*6.2 = 49.8 cm³

c.

<u>Volume of the figure:</u>

  • V = 8.6 + 49.8 = 58.4 cm³
5 0
3 years ago
Read 2 more answers
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