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Gnom [1K]
3 years ago
5

Use a table to find the solution to the situation.

Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

245+45x=170+60x

therefore in 5 days, they will charge the same amount

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For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the ch
77julia77 [94]

Answer:

it is on ed it is 30

Step-by-step explanation:

5 0
2 years ago
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Find the area<br><br> 96 sq meters<br> 144 sq meters<br> 84 sq meters<br> 102 sq meters
Vsevolod [243]

Answer:

the answer is 84.... .....

4 0
3 years ago
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The boundary of the lawn in front of a building is represented by the parabola . The parabola is represented on the coordinate p
Colt1911 [192]
The boundary of the lawn in front of a building is represented by the parabola

y = (x^2) /16 + x - 2

And you have three questions which require to find the focus, the vertex and the directrix of the parabola.

Note that it is a regular parabola (its symmetry axis is paralell to the y-axis).

1) Focus:

It is a point on the symmetry axis => x = the x-component of the vertex) at a distance equal to the distance between the directrix and the vertex).

In a regular parabola, the y - coordinate of the focus is p units from the y-coordinate of the focus, and p is equal to 1/(4a), where a is the coefficient that appears in this form of the parabola's equation: y = a(x - h)^2 + k (this is called the vertex form)

Then we will rearrange the standard form, (x^2)/16 + x - 2 fo find the vertex form y = a(x-h)^2 + k

What we need is to complete a square. You can follow these steps.

1) Extract common factor 1/16 => (1/16) [ (x^2) + 16x - 32]

2) Add (and subtract) the square of the half value of the coefficent ot the term on x =>

16/2 = 8 => add and subtract 8^2 => (1/16) [ (x^2) + 16 x + 8^2 - 32 - 8^2]

3) The three first terms inside the square brackets are a perfect square trinomial: =>

(1/16) [ (x+8)^2 - 32 - 64] = (1/16) [ (x+8)^2  - 96] =>

(1/16) [(x+8)^2 ] - 96/16 =>

(1/16) (x +8)^2 -  6

Which is now in the form a(x - h)^2 + k,
where:

a = 1/16 , h = - 8, and k = -6

(h,k) is the vertex: h is the x-coordinate of the vertex, and k is the y-coordinate of the vertex.

=> a = 1/16 => p =1/4a = 16/4 = 4
 
y-componente of the focus = -6 + 4 = -2

x-component of the focus = h = - 8

=> focus = (-8, -2)

2) Vertex

We found it above, vertex = (h,k) = (-8,-6)


3) Directrix

It is the line y = p units below the vertex = > y = -6 - 4 = -10

y = -10   

 


4 0
3 years ago
How many inches are in 125<br> 1<br> 2<br> 5<br> groups of 123<br> 1<br> 2<br> 3<br> inches?
Sveta_85 [38]

Answer:  15,375 inches

Step-by-step explanation: If there are 123 inches in each group, and there are 125 groups, it is a multiplication operation.

123 × 125 =  15375

<em>The format of the question makes it a bit confusing. I hope this helps.</em>

<em />

6 0
2 years ago
Can someone please do number 12 and 14 for me ?
KengaRu [80]
12. Yes, because the diagonals of a parallelogram bisect each other.
14. Yes, a parallelogram has opposite sides that are equal.

Hope this helps =)
3 0
3 years ago
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