3 years ago

Find the center and radius of a circle with the given equation: x2 + (y − 1)2 = 1

Mathematics

1 answer:

beks73 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

compare with (x-h)²+(y-k)²=r²

(x-0)²+(y-1)²=1²

h=0,k=1,r=1

center is (0,1) and radius=1

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Consider 8x2 - 48x = -104.

ki77a [65]

Answer:

$3+ 2\mathbf{i}$

$3- 2\mathbf{i}$

Step-by-step explanation:

<u>Quadratic Equation Solving</u>

We have the equation:

$8x^2-48x=-104$

Divide by 8:

$x^2-6x=-13$

Now complete the squares so the left side is a perfect square of a binomial:

$x^2-6x+9=-13+9=-4$

Factoring the perfect square:

$(x-3)^2=-4$

Taking the square root:

$x-3=\sqrt{-4}$

The square root of a negative number is an imaginary number:

$x-3=\pm 2\mathbf{i}$

Solving for x:

$x=3\pm 2\mathbf{i}$

The solutions are:

$3+ 2\mathbf{i}$

$3- 2\mathbf{i}$

7 0

3 years ago

It takes 12 cups of chicken broth to make a chicken soup recipe. How much is this in quarts?

slava [35]

3 quarts.

4 cups equal 1 quart according to the US standards.
Using that, we get an equation like:
4c = 1q
if you want 12 cups, you have to multiply the left side by 3 meaning you would also have to multiply the right side by 3.
3(4c) = 3(1q)
12c = 4q
you get 12 cups equals 4 quarts.

4 0

4 years ago

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PLEASE HELP I AM STRUGGLING!

allsm [11]

Answer:

SSS

Step-by-step explanation:

IM CORRECT

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3 years ago

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