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Vilka [71]
3 years ago
5

Please help!! i also need to show work. write in vertex form y = -3x^2 - 18x + 12

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0

Answer:

3(-x^2-6x+4)

Step-by-step explanation:

-3x^2 - 18x + 12

-3x^2 - (2 x 3^2) x + 2^2 x 3

3 (-3x^2 over 3 - 2x3^2 times x over 3 + 262 x 3 over 3)

3(-(x^2) - (2 x 3^2-1 times x) +2^2

3(-x^2 - (2 times 3x) +4)

3(-x^2-(6x) + 4)

3(-x^2 - 6x + 4)

     

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When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.
Orlov [11]

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is 100\%-20\%-20\%=60\% of the total distance from home to school.

1200=\dfrac{60}{100}x

1200=0.6x

\dfrac{1200}{0.6}=x

2000=x

Therefore, the distance from home to school is 2000  metres.

7 0
3 years ago
Find the total cost of these items, including tax. Round
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Flashlight 3.20

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which are true about the pyramid? Check all that apply.
Travka [436]

The statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

<h3>Properties of a Square pyramid </h3>

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

Learn more on Pyramid here: brainly.com/question/10042135

#SPJ1

4 0
2 years ago
The diagram shows a cuboid.
nika2105 [10]
Cuboid has 6 faces. If each face was 2m squared, that would be 2m squared times 6 which is 12m squared
7 0
3 years ago
Jonas jogged up the hill at an average rate of of a mile per minute and then walked down the hill at an average rate of of a mil
jenyasd209 [6]
The missing value depends on the speed of jonas to total miles  covered by jonas.......if we were to assume that he jogged up the hill at a distance of 15minutes  then the trip took him 42 min in total so the remaining travel time would be 27 minutes .....lets say he is walking down the hill at .5 miles per min,.. you shpuld multiply by 27 by .5 which is 13.5
4 0
3 years ago
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