2 years ago

Awnser pls quickly :)))

Mathematics

1 answer:

Troyanec [42]2 years ago

7 0

Answer:

P': (5,3)

Q': (10,3)

R': (3,10)

Step-by-step explanation:

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I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The

son4ous [18]

Answer:

x = 15 ft

y = 15 ft

A(max) = 225 ft²

Step-by-step explanation:

Let call "x " and " y " sides of the rectangle x (side paralll to the northern boundary, then:

A(r) = x*y and 4*x + 2*2*y = 120 or 4*x + 4*y = 120

4*x + 4*y = 120 ⇒ x + y = 30 ⇒ y = 30 - x

Area of the garden as a function of x is:

A(x) = x* ( 30 - x ) ⇒ A(x) = 30*x - x²

Taking derivatives on both sides of the equation

A´(x) = 30 - 2*x

A´(x) = 0 ⇒ 30 - 2*x = 0

2*x = 30

x = 30/2

x = 15 ft

And y = ( 30 - x )

y = 15 ft

A(max) = 15*15

A(max) = 225 ft²

8 0

3 years ago

Analyze the graph of a cannonball launched from the ground with an initial velocity of 144 feet per second. The cannonball reach

MrRissso [65]

We can find that the formula is:
$h(t)=-16t^2 + 144t$

We are told that the cannonball reaches its maximum height at t = 4.5 seconds. To find the maximum height, let's just plug this into the formula:
$h(4.5) = -16(4.5)^2 + 144(4.5) = 324$

The height is 324 feet. We're done!

7 0

3 years ago

Read 2 more answers

The value of polynomial 5x-4x^2+3, when x=-1<br>

Alchen [17]

Answer:

-6

Step-by-step explanation:

$\text{Given that,}\\\\5x-4x^2 +3 \\\\\text{When}~ x = -1,\\\\~~~5(-1) -4(-1)^2 +3 \\\\=-5-4(1)+3\\\\=-5-4+3\\\\=-5-1\\\\=-6$