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3 years ago

What is the radius of the circle given by the equation below?

Mathematics

1 answer:

Dmitry [639]3 years ago

5 0

Answer:

Step-by-step explanation:

First, you gotta complete the square!

x^2+12x+36 = (x+6)^2

y^2-12y+36 = (y-6)^2

So, we have (x+12)^2 + (y-6)^2 = -56 + 36 + 36

The right side of the equation is the radius^2.

Simplify:

-56 + 36 + 36 = 16

The square root of 16 is 4, so the answer is C!

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Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can

Margarita [4]

Answer: $\frac{140}{3}$ weeks

Step-by-step explanation:

Given

It takes 14 weeks to empty a lake

also it takes 20 weeks for a river to fill the lake

Part of lake empty in 1 week $=\frac{1}{14}$

Part of lake filled in 1 week is $=\frac{1}{20}$

And if both works simultaneously then

$\frac{1}{14}-\frac{1}{20}=\frac{10-7}{140}$

$=\frac{3}{140}$

therefore it takes $\frac{140}{3}$ weeks to fill it

4 0

3 years ago

A bakery sells chocolate cupcakes and mocha cupcakes. It sold 500 cupcakes in a day, and 16% of them were mocha. How many of the

Andrew [12]

Answer:

Your answer

420 were chocolate

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

6 0

2 years ago

In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.

leva [86]

Answer:
32 students

Explanation:
We are given that:
Students in the class can either speak French, German or both
15 students know French
17 students know German

Now, the maximum number in the class can be calculated by assuming that no student can speak both languages.
This means that the number of students will be the summation of those who know French only (15) and those who know German only (17)

In this case:
the maximum number of students = 15 + 17 = 32 students

Hope this helps :)

4 0

2 years ago

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Softa [21]

So half of Nina's age is 10/2= 5. And since Greg is three years younger we subtract from 5 like so...
10/2=5
5-3
2
So Greg is 2 years old. I hope this helps love! :)

5 0

2 years ago

Read 2 more answers

What’s the slope for RS

Annette [7]

Answer: 4/2

Step-by-step explanation: Rise over run. From point S to R it goes up 4 and over 2.

6 0

2 years ago