(X-2)²+(y-1)²=25 how do you do this problem?

Answers

Answer 1

Answer: $(x-x_c)^2+(y-y_c)^2=r^2\n(x_c,y_c) - \text{center}\n\n(x-2)^2+(y-1)^2=25\n\text{center}=(2,1)\nr=√(25)=5$

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a local theme park found that if the price of admission was $12 per person. the attendance was 2200. when the price of admission was lowered to $10, the attendance rose 3000 for the week. write the linear equation for admission in terms of price. use x for the independent variable and y for the dependent variable. write answer in slope intercept form with no spaces

The length of a football field is 100 yard and the width is 53 yard. In the fist game of the season, Jos catches the opening kickoff at the corner of the goal line and runs straight as a string the diagonal length of the field to score s touchdown. The next day, the local paper credits Jos for a 100 yard touchdown run, but how far did he actually run

Answers

Given:
Length = 100 yards
Width = 53 yards
Rectangle shape

Jos ran the diagonal length. So, he formed a right triangle. The length Jos ran would be they hypotenuse.

a² + b² = c² ² where c = hypotenuse

100² + 53² = c²
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What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)

Answers

Answer:

$(3-2n)/(n-4)$

Step-by-step explanation:

We have been given the expression

$(n^2+10n+21)/(n^2+3n-28)-(3n)/(n-4)$

Let us write the numerator and denominator of first expression in factored form using AC method.

$n^2+10n+21\n=n^2+7n+3n+21\nn(n+7)+3(n+7)\n(n+7)(n+3)$

And the factors of denominator is

$n^2+3n-28\n=n^2+7n-4n-28\nn(n+7)-4(n+7)\n(n+7)(n-4)$

Therefore, the expression becomes

$((n+7)(n+3))/((n+7)(n-4))-(3n)/(n-4)\n\n\text{Cancel the common terms}\n\n(n+3)/(n-4)-(3n)/(n-4)\n\n\text{Denominator of both rational expression is same}\n\text{hence, we can directly add the numerators}\n\n(n+3-3n)/(n-4)\n\n(3-2n)/(n-4)$

Thus, the simplified form is $(3-2n)/(n-4)$

The answer is $(-2n+3)/(n-4)$

Which r-value represents the strongest correlation?–0.83
–0.67
0.48
0.79

Answers

The r-value that represents the strongest correlation is (a) - 0.83

How to determine the strongest correlation?

The correlation coefficient has its value to be from -1 to 1

The closer the value to 1 or -1, the stronger the correlation

-0.83 is closer to -1 than the other values closer to 1 or -1

Hence, the r-value that represents the strongest correlation is (a) - 0.83

Answers

Sales tax is approximately .5% With this being said you should leave a 20% tip of whatever the bill is so sales taxes adds about 5 cents to every dollar. Hope this helps! : )

A line intersects the points (3,-4) and (1,2).What is the slope intercept equation for this line

Answers

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+b

m=(-4-2)/(3-1)=-3

b=y-mx

b =-4 - (3)(-3)

b=-4+9

b=5

What is the solution to the system of equations? Use the linear combination method.2d+e=8
d-e-4

A. There are an infinite number of solutions
B. There is no solution
C. The solution is (4,0)
D. The solution is (5,-2)

Answers

If you would like to know what is the solution to the system of equations, you can calculate this using the following steps:

2d + e = 8
d - e - 4 = 0 ... d = e + 4
___________________

2d + e = 8
2 * (e + 4) + e = 8
2e + 8 + e = 8
3e = 0
e = 0

d = e + 4 = 0 + 4 = 4

(d, e) = (4, 0)

The correct result would be: C. The solution is (4, 0).

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