A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?

Answers

Answer 1

Answer: Use the distance formula. The square root of (X2-X1)squared + (Y2-Y1)squared.

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A bookstore orders 200 books. The books are packaged in boxes that hold 24 books each. All the boxes the bookstore receives are full, except one. How many boxes does the bookstore recieve??

Answers

First we will divide to se how many boxes there will be.

200 ÷ 24 = 8.333......

So there would be 9 boxes cause there is 1 box that is not FULL.

Next we will multiply.

24 × 8 = 192

Subtract:-

200 - 192 = 8

So there are 9 boxes. The 9th box has 8 books.

Hope I helped ya!!

Find the x-intercept of the parabola with vertex (6,27) and y-intercept (0,-81)

Answers

The vertex form of the equation of a parabola with the vertex (h,k):
$y=a(x-h)^2+k$

The parabola has the vertex at (6,27).
$y=a(x-6)^2+27$

The y-intercept is (0,-81).
$x=0, \ y=-81 \n\Downarrow \n-81=a(0-6)^2+27 \n-81=a(-6)^2+27 \n-81=36a+27 \n-81-27=36a \n-108=36a \n(-108)/(36)=a \na=-3$

The equation of the parabola is:
$y=-3(x-6)^2+27$

y=0 at the x-intercepts.
$0=-3(x-6)^2+27 \n-27=-3(x-6)^2 \n(-27)/(-3)=(x-6)^2 \n9=(x-6)^2 \n√(9)=√((x-6)^2) \n3=|x-6| \nx-6=3 \ \lor \ x-6=-3 \nx=3+6 \ \lor \ x=-3+6 \nx=9 \ \lor \ x=3$

The x-intercepts are x=3 and x=9.

Square root of -25 in imaginary form

Answers

remember
√(mn)=(√m)(√n)

and
√-1=i

√-25=(√-1)(√25)=(i)(5)
aswer is +/-5i

root (-25) = root(-1) * root(25)
in imaginary form we know that root(-1) = i
so root(-25) = 5 i

A pair of sneakers regularly costs $113.95 and they are on sale for 10% off. Which of the following is the best estimate for the cost of the sneakers after the discount?

Answers

Given:
Original price : $113.95
Sales discount rate: 10%

Value of Sales discount

$113.95 * 10% = $11.395 rounded to $11.40

Discounted Price:

$113.95 - 11.40 = $102.55

Y-1/x+3=-3/4 how do you solve for y

Answers

$( y-1)/(x+3) =- (3)/(4)\n \nx+3\neq 0\n \nx\neq -3 \n \nD=R\setminus \left \{ -3 \right \}$

$4(y-1)=3(x+3)\n \n4y-4=3x+9\n \n4y=3x+9+4\n \n4y=3x+13\ \/:4\n \ny=(3)/(4)x +(13)/(4)$

Why did the picture go to jail (big ideas math puzzle time, red book,common core)?

Answers

Because it was framed.

Haha, get it? :P

Final answer:

The 'Puzzle Time' questions in the Big Ideas Math program, such as 'Why did the picture go to jail?' are meant to stimulate critical thinking. The answer to this question is a pun, 'It was framed', playing on the double meaning of 'framed' in art and legal terms.

Explanation:

The question, 'Why did the picture go to jail?' is a part of the 'Puzzle Time' in the Big Ideas Math Red Book program, which is designed to engage students' critical thinking and analytical abilities. Such questions often involve puns or riddles that use mathematical concepts. Answers to these are typically humorous, pun-based or involve wordplay.

In this case, the answer to the question, 'Why did the picture go to jail?' is because 'It was framed'. This answer plays on the double meaning of the word 'framed' - in the art world, where a picture is placed in a frame, and in legal parlance, where someone is falsely accused or 'framed' for a crime they did not commit.

Learn more about Big Ideas Math here:

brainly.com/question/25784507

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