All categories

3 years ago

Which of the following is the equation of a circle with center (6,−7) and diameter 22?

Mathematics

1 answer:

barxatty [35]3 years ago

8 0

(X-6)²+(y+7)²=121 , flip the signs of the coordinates and the last number is the radius squared

You might be interested in

The total profit made by an engineering firm is given by the function p=x^2 - 24x +5000 where x is the number of clients the fir

faltersainse [42]

Answer:

$5144$

$12$

Step-by-step explanation:

The function $p=x^2-24x+5000$ is incorrect as its roots are imaginary $b^2-4ac=576-4\times 5000=-19424$ .

So, the correct function is

$p=-x^2+24x+5000$

Differentiating with respect to $x$ we get

$p'=-2x+24$

Equating with zero

$0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12$

Double derivative of the function

$p''=-2$

So, the function is maximum at $x=12$

Maximum profit is

$p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144$

The maximum profit made by the company is $5144$

The number of clients required to make the maximum profit is $12$ .

7 0

3 years ago

Evaluate the line integral 2 + x2y ds where c is the upper half of the circle x2 + y2 = 1.

goldfiish [28.3K]

Parameterize C by

r(t) = 〈x(t), y(t)〉 = 〈cos(t), sin(t)〉

with 0 ≤ t ≤ π. Then the line integral is

$\displaystyle \int_C (2+x^2y)\,\mathrm ds = \int_0^\pi (2+\cos^2(t)\sin(t))\left\|\mathbf r'(t)\right\|\,\mathrm dt \\\\ = \int_0^\pi (2+\cos^2(t)\sin(t)) \,\mathrm dt = \boxed{\frac23+2\pi}$

8 0

2 years ago

If you spent $3 on 6 apples, what is the unite rate (in dollars) per apple

madam [21]

You will spend.50 per Apple

8 0

3 years ago

Read 2 more answers

X+4y-3z=1 3x+12y-9z=8 2x+4y-4z=-12

RoseWind [281]

Answer:

Step-by-step explanation:

$x+4y-3z=1$

$x=1-4y+3z$

$3(1-4y+3z)+12y-9z=8$

$3-12y+9z+12y-9z=8$

$3=8$

so your answer is No solution

4 0

1 year ago

What is the measure of angle 5 if the measure of angle 2 is 37 degrees and the measure of angle 3 is 72 degrees

ahrayia [7]

Answer:

160 is a whole angle so 37+72=109 160-109=51

51 is your answer

Step-by-step explanation:

7 0

2 years ago