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Nat2105 [25]
4 years ago
9

A vegetable garden and a surrounding path are shaped like a square that together is 12 ft wide. The path is 1 foot wide. Find th

e total area of the vegetable garden and path.
Mathematics
1 answer:
igor_vitrenko [27]4 years ago
5 0

Answer:

  144 square feet

Step-by-step explanation:

The 12-foot width apparently includes the garden and path, so the desired area is that of a 12-foot square:

  A = s² = (12 ft)² = 144 ft²

The area of the garden and path is 144 square feet.

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Which set of data is correct for the quadratic relation f(x) = 5(x -
Burka [1]

Answer:

Direction parabola opens upward.

Vertex of parabola is (27,-9).

Axis of symmetry is x=27.

Step-by-step explanation:

Note: Option sets are not correct.  

The vertex form of a parabola is

y=a(x-h)^2+k    ...(1)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a<0, then parabola opens downward and if a>0, then parabola opens upward.

The given function is

f(x)=5(x-27)^2-9     ...(2)

On comparing (1) and (2), we get

a=5>0, so direction parabola opens upward.

h=27,k=-9, so vertex of parabola is (27,-9).

So, axis of symmetry is x=27.

6 0
4 years ago
If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?
Solnce55 [7]

Answer:

Step-by-step explanation:

k = xy

Putting values of x and y in the equation

k = (5)(-3.5)

= - 17.5

Finding value of x when y = 10

k = xy

- 17.5 = x10

Bringing like terms on one side

- 17.5 - 10 = x

-27.5 = x

5 0
3 years ago
What are the initial value and rate of change from this table???? Explain!!
Evgen [1.6K]

Answer:

rent goes up 9 dollars at a time while number of days is 1 at a time

Step-by-step explanation:

the difference of 21 and 12 is 9 so you can see it changes every day by nine for the ratio i think is for every day 9 dollars is added to fee


8 0
3 years ago
Find the area of the regular hexagon
Grace [21]

Answer:

were is the picture

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The accompanying table shows the number of bacteria present in a certain culture over a 6 hour period, where x is the time, in h
madam [21]

The number of bacteria present after 15 hours is 18928

<h3>How to determine the exponential equation?</h3>

An exponential equation is represented as;

y = ab^x

Where

a = y, when x = 0

From the table, we have:

y = 1796 when x = 0

So, we have:

y = 1796b^x

Also, we have the point (1, 2097)

This gives

2097 = 1796b^1

Divide by 1796

b = 1.17

Substitute b = 1.17 in y = 1796b^x

y = 1796(1.17)^x

This means that the exponential equation is y = 1796(1.17)^x

After 15 hours, we have:

y = 1796(1.17)^15

Evaluate

y = 18928

Hence, the number of bacteria present after 15 hours is 18928

Read more about exponential equation at:

brainly.com/question/23729449

#SPJ1

7 0
2 years ago
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