1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marshall27 [118]
2 years ago
14

I need help with this question please I’ll mark as brainliest

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0

Answer:

C

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 (h, k) = (8, - 14), thus

y = a(x - 8)² - 14

To find a substitute (5, 13) into the equation

13 = a(5 - 8)² - 14

13 = a(- 3)² - 14

13 = 9a - 14 ( add 14 to both sides )

27 = 9a ( divide both sides by 9 )

a = 3

Thus

y = 3(x - 8)² - 14 → C

You might be interested in
50 POINTS!
Furkat [3]

Answer:

1.

a) 357 inches³ of water more would be required to fill the tank

b) Riley is not correct, the volume of the larger aquarium is 27

   times larger than the volume of the smaller on

c) Riley is not correct, the surface area of the larger aquarium is 9

   times the surface area of the smaller one

2.

a) There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) The surface area of the shipping box is 567 inches²

Step-by-step explanation:

1.

a) * Lets study the first aquarium:

- The formula for volume is V = l × w × h

∴ It is a rectangular box of dimensions 16 in , 8.5 in , 10.5 in

∴ Its volume = 16 × 8.5 × 10.5 = 1428 inches³

* The full capacity of this aquarium is 1428 inches³

- Riley noticed that it 3/4 full of water, then still can fill with

 1/4 to be full

- Why 1/4 because 1 - 3/4 = 1/4

∴ The volume of 1/4 the aquarium = 1/4 × 1428 = 357 inches³

* There are 357 inches³ of water more would be required to fill the tank

b) * Lets talk about the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their volumes will be (3 : 1)³

- Because we will multiply each dimension by 3 and they

  are 3 dimensions, that means 3 × 3 × 3 ⇒ 3³

∴ The ratio between their volumes = 27 : 1

∴ Riley is not correct because the volume of the larger aquarium is 27

   times larger than the volume of the smaller aquarium

c) * Similar for the surface area of the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their surface area will be (3 : 1)²

- Because we will multiply each dimension by 3 and to get the

 surface area we multiply each two dimensions for the six faces

 and then add them

∴ The ratio between their surface area = 9 : 1

∴ Riley is not correct because the surface area of the larger aquarium

  is 9 times larger than the surface area of the smaller aquarium

2.

a) * Lets think about this situation

- We want to fill some office supplies boxes of side length

 4.5 inches inside the shipping box of dimensions 18 in , 9 in , 4.5 in

- That means the volume of the shipping box is how many times

 the volume of the office supplies box

∴ The number of office supplies boxes = the volume of shipping box ÷ the volume of the office supplies box

∵ the volume of shipping box = 18 × 9 × 4.5 = 729 inches³

∵ the volume of the office supplies box = 4.5 × 4.5 × 4.5 = 91.125 inches³

∴ The number of office supplies boxes = 729 ÷ 91.125 = 8 boxes

* There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) Look to the Net of the shipping box

- The net has 6 faces shaped rectangles

- Each two faces are congruent

- To find the surface area we will add all the areas of the 6 faces

- Two faces with dimensions 18 in and 9 in

∴ Their areas = 2 (18 × 9) = 324 inches²

- Two faces with dimensions 18 in and 4.5 in

∴ Their areas = 2 (18 × 4.5) = 162 inches²

- Two faces with dimensions 4.5 in and 9 in

∴ Their areas = 2 (4.5 × 9) = 81 inches²

∴ The total surface area = 324 + 162 + 81 = 567 inches²

* The surface area of the shipping box is 567 inches²

3 0
3 years ago
It takes Oliver 30 minutes to walk to school everyday a distance of 1.5 miles. what is Oliver speed in miles per hour
Olegator [25]
1.5 miles/30 minutes is your unit rate. If you multiply the rate by 2 you would get 3 miles/hour.

So your final answer would be 3 miles per hour.
Hope this helps.
5 0
3 years ago
Read 2 more answers
What is 342 in fraction form
oee [108]

Answer:

342 / 1

Step-by-step explanation:

342 / 1 = 342

342 in fraction form is 342 / 1.

7 0
2 years ago
Helppppppp
Yakvenalex [24]

Answer:

7 -if rounded to the nearest tenth would be 10

Step-by-step explanation:

The median is the number in the middle so

6-6-7-7-10-12-14

There are 7 numbers here so the middle number is 4 because there are 3 numbers before 4 and 3 numbers after 3 to get to 7 (that’s really hard to explain sorry but it’s a simple concept) my trick is to write it down then use two fingers to point at the first and last number and keep doing that moving in til I get to the middle number, which is 7. :)

6 0
2 years ago
Which expression is equivalent to 7z + 7z?
Ierofanga [76]

Answer:

14z

Step-by-step explanation:

Since these are like-terms, they can be added together.

7z + 7z = 14z

6 0
3 years ago
Other questions:
  • The sponsors of the marching band provided 128 sandwiches for a picnic. After the picnic, s sandwich’s are left.
    15·1 answer
  • Mandy is on a bus that is traveling at a constant speed of 60 miles per hour. How far will she travel is 3 1/2 hours?
    5·2 answers
  • a blueprint has a scale of 1/8 in = 1 foot the drawing shows width of a window to be 3/4 inches wide what is the actual of the w
    12·1 answer
  • Which letter has neither line symmetry nor rotational symmetry?
    12·2 answers
  • Two sides and an angle are given below. determine whether the given information results in one​ triangle, two​ triangles, or no
    8·1 answer
  • -6(2-3n)-6(-7-2n)=30 solve for n​
    10·2 answers
  • Combine like terms in expression below <br><br> 2f + 9e - f + 3e
    6·2 answers
  • Select the correct answer Solve the following compound inequality. 5x+75 3 or 3x-4&gt; 11 OA -2 &lt; x &lt; 5 ОВ. xs-2 or x = 5
    15·1 answer
  • What is 5 3/5% of 750?<br><br> Thanks in advance.
    12·1 answer
  • Find the solution set. 7x^2-5x-2=0
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!