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Alina [70]
4 years ago
13

Which is the equation of the axis of symmetry of the graph of y=-3(x-6)^2+5

Mathematics
2 answers:
SVEN [57.7K]4 years ago
8 0

Answer:

axis of symmetry at x=6

Step-by-step explanation:

y=-3(x-6)^2+5

The given equation is in vertex form y=a(x-h)^2+k

(h,k) is the vertex

Compare the vertex form of the equation with the given equation.

y=-3(x-6)^2+5

The value of h = 6 and the value of k = 5

So vertex is (6,5)

Axis of symmetry lies at the x coordinate of the vertex

x coordinate of the vertex is 6

So axis of symmetry at x=6

enot [183]4 years ago
3 0
X=6 is the answer. good luck
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Rosario draws the right triangular prism shown here and calculates the volume. She then draws a second right triangular prism in
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The volume of the original prism is given by:
 V1 = (1/2) * (b) * (h) * (H)
 Where,
 b: base of the triangle
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 H: prism height
 The volume of the prism with new dimensions is:
 V2 = (1/2) * (3b) * (3h) * (3H)
 Rewriting:
 V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
 V2 = (27) * (1/2) * (b) * (h) * (H)
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 Answer:
 
The relationship between the volumes of the two prisms is:
 
V2 = (27) * V1
5 0
3 years ago
Read 2 more answers
19. Find the pressure exerted by a force of 240 newtons on an area of 30cm? Please help I will mark as brilliant
Dafna1 [17]

Answer: 80000

Step-by-step explanation:

p=<u>f </u>

    a

<u>24</u>

0.003

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7 0
4 years ago
Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.
NemiM [27]

Complete question is;

Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.

1) 2x + y = 10

x - 3y = -2

2) x + 2y = 5

2x + y = 4

3) x + 3y = 5

6x - y = 11

4) 2x + y = 10

-6x - 3y = -2

Answer:

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

Step-by-step explanation:

1) 2x + y = 10 - - - (eq 1)

x - 3y = -2 - - - (eq 2)

Multiply eq 1 by 3 to get;

6x + 3y = 30

Add it to eq 2 to get;

7x = 28

x = 28/7

x = 4

2) x + 2y = 5 - - - (eq 1)

2x + y = 4 - - - (eq 2)

Multiply eq 2 by 2 to get;

4x + 2y = 8

Subtract eq 1 from it to get;

3x = 3

x = 3/3

x = 1

3) x + 3y = 5 - - - (eq 1)

6x - y = 11 - - - (eq 2)

Multiply eq 2 by 3 to get;

18x - 3y = 33

Add to eq(1) to get;

19x = 38

x = 38/19

x = 2

4) 2x + y = 10 - - - (eq 1)

-6x - 3y = -2 - - - (eq 2)

Make y the subject in eq 1 to get;

y = 10 - 2x

Put in eq (2);

-6x - 3(10 - 2x) = -2

-6x - 30 + 6x = -2

0 = 0

Thus,no solution exists.

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

3 0
3 years ago
A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times as it is wide. Both the banner and the po
Svetradugi [14.3K]

The length and width of poster are 9 inches and 3 inches respectively and length and width of banner are 10 inches and 2 inches respectively

<u> Solution:</u>

Given, A rectangular poster is 3 times as long as it is wide.  

Rectangular banner is 5 times as long as it is wide.  

Both the banner and the poster have perimeters of 24 inches

Let, the width of poster be p, then its length will be 3p

And, the width of banner be b, then its length will be 5b

Now, according to given information,

Perimeter of poster = 24 inches and perimeter of banner = 24 inches

2(length of poster + width of poster) = 24

2(3p + p) = 24

2(4p) = 24

8p = 24

p = 3

And 2(length of banner + width of banner) = 24

2(5b + b) = 24

2(6b) = 24

12b = 24

b = 2

So, width of poster is 3 inches, then length of poster is 3p = 3 x 3 = 9 inches

And, width of banner is 2 inches, then length of banner is 5b = 5 x 2 = 10 inches

8 0
4 years ago
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