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Contact [7]
2 years ago
6

What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81

Mathematics
1 answer:
Alexeev081 [22]2 years ago
6 0

Step-by-step explanation:

We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.

Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.

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Write and Solve an area problem that illustrates the use of the find the pattern strategy
d1i1m1o1n [39]
An area is when you multiply the height by the base. So, it depends on the picture and its numbers.            ---------------------
 For example:                             /        6in          /
                                             5in/                        /
                                                 /                        /        model number: 5 in×6in=30 in
                                               /                        /
                                               ---------------------
8 0
3 years ago
Read 2 more answers
Jasmine is part of a bowling league and wants to beat the team record of an average score of 240 out of 300 possible points per
hoa [83]

Answer:

her score in sixth game is 270

Step-by-step explanation:

The computation of the Jasmine score in her sixth game is shown below:

Let us assume her sixth game score is x

And, the first five games are 252, 227, 210, 239, 242

And, the average score is 240

So, the following formula should be used

(252 + 227 + 210 + 239 + 242 + x) ÷ 6 = 240

252 + 227 + 210 + 239 + 242 + x = 240 × 6  

252 + 227 + 210 + 239 + 242 + x = 1,440

x = 270

Hence, her score in sixth game is 270

6 0
3 years ago
Karen spends $450 on monthly bills. Of this total amount, 12% is for phone service, 1/10 is for internet service, and 2/9 is for
finlep [7]
12%= 0.12 = 12/100 = 108/900
1/10 = 90/900
2/9 = 200/900

108/900 + 90/900 + 200/900 = 398/900 used

900- 398 = 502

502/900 = 251/ 450

251/450 × 450 = 251


Karen has $251 for food
4 0
3 years ago
Solve xy − 2 = k for x.
MA_775_DIABLO [31]
Isolate x
So xy - 2 = k
Then
xy = k + 2

x = (k+2)/y
6 0
3 years ago
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fa
lesya692 [45]

Answer:

Type I: 1.9%, Type II: 1.6%

Step-by-step explanation:

given null hypothesis

H0=the individual has not taken steroids.

type 1 error-falsely rejecting the null hypothesis

⇒   actually the null hypothesis is true⇒the individual has not taken steroids.

 but we rejected it ⇒our prediction is the individual has taken steroids.

typr II error- not rejecting null hypothesis when it has to be rejected

⇒actually null hypothesis is false ⇒the individual has taken steroids.

but we didnt reject⇒the individual has not taken steroids.

let us denote

the individual has taken steroids by 1

the individual has not  taken steroids.by 0

                            predicted

                              1       0

   actual          1    98.4%  1.6%

                        0   1.9%   98.1%

so for type 1 error  

 actual-0

predicted-1

therefore from above table we can see that probability of Type I error is 1.9%=0.019

so for type II error

   actual-1

predicted-0

therefore from above table we can see that probability of Type I error is 1.6%=0.016

5 0
3 years ago
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