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Dominik [7]
2 years ago
13

I need help plz ????

Mathematics
1 answer:
julsineya [31]2 years ago
6 0
The answer is 128.605 m^2

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The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?
topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1

It can be rewritten as

\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1         .....(1)

The standard form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1           ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are (h\pm a, k).

From (1) and (2) we get

h=6,k=-7,a=4,b=2

Since a>b, therefore the vertices of the ellipse are

(h+a, k)=(6+4,-7)\Rightarrow (10,-7)

(h-a, k)=(6-4,-7)\Rightarrow (2,-7)

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

5 0
3 years ago
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A man is now twice as old as his son. fifteen years ago he was three times as old as his son was then. How old is the son now​
Sergio039 [100]

Answer:

Step-by-step explanation:

25 years old.

3 0
3 years ago
PLEASE! I REALLY NEED YOUR HELP!! WILL GIVE BRAINLY
Digiron [165]
With 5lbs of sugar syrup to get a 25% syrup you would need to add 15lbs of water
3 0
3 years ago
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Susan has a rectangular fence around her swimming pool. The fence she built was 15 ft long, 10 ft wide and 6ft tall. How many sq
Dmitriy789 [7]

Answer:

300 Square feet

Step-by-step explanation:

Susan built a rectangular fence around her swimming pool.

Length=15ft

Width(or Breadth)=10ft

Height=6ft

To solve this, picture a cuboid with the top and bottom open, that is the key to finding the Surface Area of the Fence.

Surface Area of a Cuboid= 2(LW+LH+WH)

However since the top and bottom are open, the Surface Area becomes

Surface Area of the fence= 2(LW+WH)

                                       =2((15X6)+(10X6)

                                       =2(90+60)=2 X 150 =300

Susan uses 300 Square feet to build her fence.

8 0
3 years ago
If 5 gallons cost $ 6.60 how much do 29 gallons of gasoline cost​
ikadub [295]

Answer:

Should be 38.28

Step-by-step explanation:

Dividing 6.60 by 5 is $1.32, aka the cost of one gallon. multiply by 29, answer is that it costs $38.28 to get 29 gallons of gasoline.

5 0
2 years ago
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