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2 years ago

10

a square garden has an area of 225 square feet. how much fencing will a gardener need to buy in order to place fencing around th

e gardening?

1 answer:

IgorC [24]2 years ago

6 0

The gardener will need to buy 60 feet of fencing. Because the square root of 225 if 15, and 15 times 4 is 60. So, 60 is the perimeter of the garden.

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a) The curve with equation y2 = x3 + 3x2 is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve a

Neporo4naja [7]

Answer:

Tangent at (1,2) has value $\frac{15}{4}$ . And (-2, 4) is the point of intersection of horizontal tangent.

Step-by-step explanation:

Given curve equation,

$y^2=x^3+3x^2\hfill (1)$

To find tangent at (x,y)=(1,2) and point of intersection of horizontal tangent, differentiate (1) withrespect to x we get,

$2y\frac{dy}{dx}=x^3+3x^2$

$\implies \frac{dy}{dx}=\frac{3(x^2+2x)}{2y}$

At (1, 2), tangent line is,

$\frac{dy}{dx}|_{(1,2)}}=\frac{15}{4}$

To find point of intersection of horizontal tangent we have to do,

$\frac{dy}{dx}=0$

$\implies x(x+2)=0\implies x=0 or -2$

Thus,

At x=0, y=0

but snce,

$\lim_{y\to 0}\frac{dy}{dx}\to \infty$

at (0,0) there exist a vertical tangent. And,

At x=-2, y=4.

Thus (-2, 4) is the point of intersection of horizontal tangent.

6 0

2 years ago

Ellie buys a mobile phone in spain for €352.50. Her brother jack buys an identical phone from japan for ¥39856. Using exchange r

Nonamiya [84]

Answer:

The answer to your question is: Japan

Step-by-step explanation:

Mobile cost in Spain = € 352.5

Mobile cost in Japan = ¥39856

Exchange rate = £1 = €1.41

£1 = ¥188

Cost of mobile in pounds

£ 1 ------------------ € 1.41

x ----------------- €352.5

x = (352.5 x 1) / 1.41

x= £250

£1 ------------------ ¥188

x ----------------- -¥ 39856

x = (39856 x 1) / 188

x = £212

Then, it was cheaper in Japan

8 0

2 years ago

Read 2 more answers

The function A(b) relates the area of a trapezoid with a given height of 10 and

Natali5045456 [20]

The function of the trapezoid area is:

A(x)=(B+b)*h/2

Where B and b are the bases and h is the height.

With the given data: h=10 B and b =7 and x (it may vary which one is bigger)

-----------

So that function becomes:

A(x)=(7+x)*10/2

A(x)=(7+x)*5

----------

So if you want the inverse function, you have to operate to find x:

A(x)/5=7+x

A(x)/5-7=x

----------

So the new function is:

x(A)=A/5-7

6 0

2 years ago

Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table. The expression (3 p minus 7)(2 p squared minus 3 p mi

kondor19780726 [428]

Answer:

the answer is C

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the

Leona [35]

Question says that "Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1"

We see a blank space before 26.1.

So we need to fill the suitable inequality symbol from <, >, ≤ and ≥.

In given expression "2.4 + 4p + 2.4 ___ 26.1", left side part "2.4 + 4p + 2.4", represents the total length of the path that Jason wants to cover this week.

He has decided to run more than 26.1 miles so that means the sum "2.4 + 4p + 2.4" must be greater than 26.1 miles.

Hence we will use > symbol so that left side becomes greater than the right side part.

So the final answer will be :

2.4 + 4p + 2.4 > 26.1

5 0

2 years ago

Read 2 more answers