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ozzi
2 years ago
12

Pls help!!

Mathematics
1 answer:
sleet_krkn [62]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

The CENTER will de directly between the two given points

<u> h, k   = -1,7 </u>

so...so far the circle eq is

  (x+1)^2 + ( y-7)^2

the RADIUS is  1/2 of the distance between the given points

1/2  d = (using distance formula) = 1/2 sqrt 80     =<u> 4.472 </u>

then the equation of the circle in standard form

 (x+1)^2  + (y-7)^2 = 20          

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The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 13 x - x2. What
My name is Ann [436]

Answer:

The number of mosquitoes is maximum for 6.5 inches rainfall.

Step-by-step explanation:

The given function is

M(x)=13x-x^2                   .... (1)

where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.

We need to find the rainfall that produces the maximum number of mosquitoes.

Differential the above function with respect to x.

M'(x)=13-2x               .... (2)

Equate first derivative equal to 0.

13-2x=0

2x=13

x=\frac{13}{2}=6.5

Differential function (2) with respect to x.

M''(x)=-2

Double derivative is negative. So, the value of function is maximum at x=6.5.

Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.

4 0
3 years ago
Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.
Alja [10]

Answer:

y=\frac{96}{x}

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: xy=c. This means that the function can be defined as y=\frac{c}{x} by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:  xy = 96, which can be defined as y=\frac{96}{x}

7 0
2 years ago
The weight of a nickel is 80% of a quarter. If a nickel weighs 5 grams how much does a quarter weigh?
muminat

Answer:

Weight of a quarter  = 6.25 grams

Weight of a dime  = 2.5 grams

Step-by-step explanation:

The weight of a nickel is  80%

The weight of a quarter  or the weight of a nickel is 5 grams or weight of a quarter =50.8 = 6.25 grams

Weight of a dime = 50% = 12 (weight of nickel) = 52 = 2.5 grams

8 0
3 years ago
A football team has a squad of 24 players,
lora16 [44]
Answer: 1/3

Explanation:

1/12 of the squad are suspended:

1/12 x 24 = 24/12 = 2

So 2 player are suspended

24 - 2 = 22 player

And some are injured leaving 14 left to play:

22 - 14 = 8 players injured

So 8/24 is the fraction of injured player.

But 8/24 = 1/3 so we can say 1/3 of the whole squad are injured.
4 0
3 years ago
Read 2 more answers
What is the difference between (-5,-5)and (-9,2)
Alecsey [184]

Answer:

Well if you see the graph (-5, -5) is a total negative number that is in the 3 quadrant.

As for (-9,2) it goes to negative to positive.

Look at the graph and you will understand any questions ask me

hope this helps ☺

6 0
3 years ago
Read 2 more answers
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