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dimaraw [331]
3 years ago
6

Find the radius of the circle whose equation is x^2 + y^2 = 4.

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
7 0

Answer:

Radius of the given circle is r = 2.

Step-by-step explanation:

Given equation of the circle is x^2 + y^2 = 4.

Now we need to find the radius of the given circle x^2 + y^2 = 4.

To find that let's compare with the formula of the circle with is x^2 + y^2 = r^2, where r is the radius.

We get r^2 = 4

take square root of both sides.

r=2

Hence radius of the given circle is r = 2.

garik1379 [7]3 years ago
3 0

ANSWER

The radius is 2

EXPLANATION

The given equation of the circle is

{x}^{2}  +  {y}^{2}  = 4

.This is the same as

{x}^{2}  +  {y}^{2}  =  {2}^{2}

We campare to the equation of the circle with center at the origin.

{x}^{2}  +  {y}^{2}  =  {r}^{2}

We have

r = 2

.Hence the radius of the circle is 2

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72

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A sign at a bakery show s8 cookies for $10 and 12 cookies for $16. Find the unit price to the nearest cent (hundtreth) for each
Alja [10]

Answer:

8 cookies: 1 cookie =$1.25

12 cookies: 1 cookie =$1.33

Step-by-step explanation:

The formula for price per unit is : \frac{price}{unit}

Lets first work out the price per unit for the 8 cookies. You can do this by dividing the price of 10 by the amount of 8, this gives you $1.25. This means that the price per cookie is $1.25.

Now to work out the price per cookie for 12 cookies. You can do this by dividing the price of 16 by the amount of 12, this gives you $1.33. This means that the price per cookie for this offer is $1.33.

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3 0
3 years ago
I need help asap( whoever answers will have Brainlest)
RideAnS [48]
a. The Greek crisis began when the government borrowed more money that they can repay, so the Greek crisis is a debt crisis. The Greek debt crisis originated from the Greek’s government wasteful and excessive expenditure; especially in public workers’ salaries and overgenerous pension plans. As a result, Greek’s economy became week, corrupt, and incompetent, so the Government had to resort to a massive debt just to function. Debt-to-GDP ratio skyrocketed, which translating in the collapse an subsequent crisis of Greek’s economy.

b. To solve this, we are going to use the standard decay function y=a(1-b)^xwhere 
y is the final amount remaining after t years of decaya is the initial amountb is the decay rate in decimal form 
(1-b) is the decay factor 
x is the time in years

I will tell Greece to cut their expending by 25%
To find our decay factor (1-b), we are going to convert the rate from percentage to decimal; to do it, we are going to divide the rate by 100%
b= \frac{25}{100}
b=0.25
Decay factor = (1-b)
Decay factor = (1-0.25)
Decay factor = (0.75)

We can conclude that our decay factor is (0.75)

c. To solve this, we are going to use the standard decay function y=a(1-b)^x from our previous point. 
where
y is the final amount remaining after t years of decaya is the initial amountb is the decay rate in decimal form 
(1-b) is the decay factor 
x is the time in years

We know from our problem that the initial debt in 2009 was $500 billion, so a=500,000,000,000; we also know fromm our previous calculation that our decay factor is (0.75), so lets replace those values in our function:
y=a(1-b)^x
y=500,000,000,000(0.75)^x

We can conclude that the function that model this debt situation is: y=500,000,000,000(0.75)^x.

d. Greece will be debt-free when heir debt is zero. Translating this into our model, Greece will be debt-free when y=0. Since we will need logarithms to find the time x, and the logarithm of zero is not defined, we are going to use a small value for y, so we can use logarithms to find x.

Let y=1. After all, a $1 debt for a country is practically the same as being debt-free.
y=500,000,000,000(0.75)^x
1=500,000,000,000(0.75)^x

Now, we can solve for x using logarithms:
\frac{1}{500,000,000,000} =(0.75)^x
(0.75)^x= \frac{1}{500,000,000,000}
ln(0.75)^x=ln(\frac{1}{500,000,000,000})
xln(0.75)=ln(\frac{1}{500,000,000,000})
x= \frac{ln(\frac{0.01}{500,000,000,000})}{ln(0.75)}
x=93.6

We can conclude that, with me in charge, Greece will be debt free after 93.6 years. I won't reconsider my answer b. Even tough 93.6 years is a lot of time, cutting the public expense more than 25% will have worse consequences for the economy of the country than the debt itself.

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