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Svetllana [295]
3 years ago
12

#8 Identify the center and radius (x + 8) + (y – )2 = 49 please help

Mathematics
1 answer:
pochemuha3 years ago
5 0

Answer:

The answer to your question is Center = (-8, 6)   radius = 7

Step-by-step explanation:

Data

       (x + 8)² + (y - 6)² = 49

Center = ?

radius = ?

Process

1.- Write the standard form of a circle

      (x - h)² + (y - k)² = r²

2.- Compare the equation given with the standard form

The center of a circle = (h, k)

      h = -8    k = 6    r² = 49

                                r = √49

                                r = 7      

3.- Conclusion

Center = (-8, 6)   radius = 7

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EASY MATH!!! The formula F=9/5C+32 is used to convert Celsius to Fahrenheit temperature. A. Solve the formula for C B. The boili
puteri [66]

F=\dfrac{9}{5}C+32\\\\A.\\\dfrac{9}{5}C+32=F\ \ \ |-32\\\\\dfrac{9}{5}C=F-32\ \ \ |\cdot\dfrac{5}{9}\\\\C=\dfrac{5}{9}(F-32)



B.\\F=212\to C=\dfrac{5}{9}(212-32)=\dfrac{5}{9}\cdot180=100\\\\212^oF=100^oC



C.\\F=80\to C=\dfrac{5}{9}(80-32)=\dfrac{5}{9}\cdot48\approx26.7\\\\80^oF\approx26.7^oC

4 0
3 years ago
A.6/5 divided by -3/2
Dmitriy789 [7]
A is -12/15 (4/5)
B is 35/12
C is 56
D is 8/15
Sorry if any of these are wrong.
To check them, turn any mixed number into an improper fraction. Then, multiply by the reciprocal. Ex: 4/0 divided by 1/3
X reciprocal- 4/0 times 3/1
5 0
3 years ago
A new restaurant with 134 seats is being planned. Studies show that 62​% of the customers demand a​ smoke-free area. How many se
zzz [600]

Answer: 100

Step-by-step explanation:

Given : The total number of seats planned in new restaurant =134

The percentage of customers demand a​ smoke-free area = 62%

It can also be written as 62\%=\dfrac{62}{100}=0.62

The mean of this binomial distribution will be :-

\mu=np\\\\\mu=(134)(0.62)=83.08

Standard deviation:-

\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{134(0.62)(0.38)}\approx5.6

Now, the number of seats should be in the​ non-smoking area in order to be very sure ​of having enough seating​ there :-

\mu+3\sigma=83.08+3(5.6)=99.88\approx100

4 0
3 years ago
Fill in the blank<br> 3*one sixth = 3/ __ or ___{fraction}
docker41 [41]
0.5 as a decimal
hope this partially helped:)
sorry couldn't answer completely
let me know if it helped a bit:)
7 0
4 years ago
Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
UkoKoshka [18]

Answer:

Option (D) is correct.

No, They will not intersect.

Step-by-step explanation:

Given Points for g(x), (1,2) , (2,4) and (3,6)

Since g is a linear function then it must be in form of  g(x) = mx +c where, c is constant and m is slope.

We first calculate the slope using,

m=\frac{y_2-y_1}{x_2-x_1}

Here, consider x_1=1 , x_2=2 , y_1=2, y_2=4

Substitute above, we get slope as,

m=\frac{4-2}{2-1}=2

Thus, equation becomes g(x) = 2x + c  ...(1)

For c plug the values  in (1),

(1,2) ⇒ 2= 2 + c ⇒  c = 0

Thus, Equation of G(x) is 2x.

When we plot it it do not intersect f(x).

Thus, Option (D) is correct.

No, They will not intersect.




3 0
3 years ago
Read 2 more answers
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