Complete the square and wright in standard form x^2+y^2-8x-12+52=36

Answers

Answer 1

Answer: x² + y² - 8x - 12y + 52 = 36
x² - 8x + y² - 12y + 52 = 36
x² - 8x + y² - 12y = 88
(x² - 8x + 16) + (y² - 12y + 36) = 88 + 16 + 36
(x - 4)² + (y - 6)² = 138
(h, k) = (x, y) = (4, 6)

Answer 2

Answer: $x^2+y^2-8x-12y+52=36 \nx^2-8x+16+y^2-12y+36-16-36+52=36 \n(x-4)^2+(y-6)^2-52+52=36 \n\boxed{(x-4)^2+(y-6)^2=36}$

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Please answer question with explanation

Find the measure of Angle 5. measure of angle 7 = 2x+15 measure of angle 8 = 3x

Answers

* 7 = 2x+15
-2X = 15 - 7
X = 8/-2
x = -8/2

*8 = 3x
3x = 8
x = 8/3

The coordinates of the endpoints of AB and CD are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which condition proves that AB||CD ?

Answers

Based on the concept of coordinates and the available information, the correct answer is option D. (y2 - y1)(y4 - y3) = (x2 - x1)(x4 - x3)

What is Coordinates?

Coordinate is a mathematical term that is used to describe the values on which mathematical operations occur in an algebraic expression.

In this case, to determine if AB is parallel to CD check if the slopes of the two lines are equal since parallel lines have the same slope.

The slope of a line passing through two points (x1 y1) and (x2 y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

So the slope of line AB is:

m_AB = (y2 - y1) / (x2 - x1)

And the slope of line CD is:

m_CD = (y4 - y3) / (x4 - x3)

If AB is parallel to CD then the slopes m_AB and m_CD should be equal.

Therefore the condition to prove that AB is parallel to CD is:

m_AB = m_CD

If the condition m_AB = m_CD is true it proves that line AB is parallel to line CD.

Hence, in this case, the correct answer is option D. (y2 - y1)(y4 - y3) = (x2 - x1)(x4 - x3)

Learn more about Coordinates here: brainly.com/question/17206319

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The option is in the image attached to the answer.

Answer:

c= -1

Step-by-step explanation:

Pls help me my homework is due tomorrow lol