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frozen [14]
3 years ago
14

What is the intersection of the given lines? CD MD

Mathematics
1 answer:
kati45 [8]3 years ago
5 0

Point D is obviously on both lines.

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7. How many runners' times are
Sophie [7]

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314

Step-by-step explanation:

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What is:<br> -6s²+-4.5=?
ddd [48]

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-6s² + - 4.5

= -6s² +(-4.5)

= -6s² - 4.5

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3 years ago
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The figure shows a swing blown to one side by a
wariber [46]

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AB=2 ft

ED=4.5 ft

BD=9 ft

m∠ABC=105°

m∠BCD=105°

m∠ADC=75°

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On 1<br> -4 is to the left of O so that means O is<br> than -4. Greater Less
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a rectangular dog kennel is to be constructed alongside a house with 60m of fencing. If the house serves as one side of the kenn
Basile [38]

Answer:

450\text{ m}^2.

Step-by-step explanation:

Let x represent side of kennel opposite to house and y represent other sides.

We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.

Since fencing will cover 3 sides of kennel, so perimeter of kennel would be:

x+y+y=60

x+2y=60

Let us solve for x.

x+2y-2y=60-2y

x=60-2y

The area of the kennel would be product of its sides that is:

\text{Area}=x\cdot y

Now, we will substitute x=60-2y in area equation as:

A(y)=(60-2y)\cdot y

A(y)=60y-2y^2

Let us find the derivative as shown below:

A'(y)=60-4y

Now, we will set derivative equal to 0 and solve for y.

60-4y=0

60=4y

\frac{60}{4}=\frac{4y}{4}

y=15

Upon substituting y=15 in area function, we will greatest possible area.

A(y)=60y-2y^2

A(15)=60(15)-2(15)^2

A(15)=900-2(225)

A(15)=900-450

A(y)=450

Therefore, the greatest possible area that can be enclosed by 60 m of fencing is 450 square meters.

5 0
3 years ago
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