4. a. 8 b. 9 c. 15 х d. 17 For questions 2-5, Point O is the center of the circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

Q: Show complete solutions with clear figures. Determine the tangent length from (-4,-4) to the circle…

A: diameter length=Distance between two points (2, 3) and (4, -3)d=(4-2)2+(-3-3)2d=40r=402center (h,…

Q: A circle with the equation (x + 6)² +(y – 7)´ = does not include points in Quadrant 1) I 2) II 3)…

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Q: Determine if Line QR is tangent to circle S. 8. 7 12 O Yes

A: The tangent of a circle is perpendicular to radius through point of contact.

Q: For problems 7 through 8, lines that appear tangent are tangent. Find the value of each value of…

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Q: Answer the following questions given: The circle defined by (x-1)2 +(y+4)2 = 16 is translated 5…

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Q: Consider the following equation of a circle. 49 + (у — 1)? . 16 - |

A: Given: x-762+y-12=4916

Q: Which of the following is an equation of the circle whose diameter has endpoints at (0, 0) and (6,…

A: This is basic coordinate geometry problem Here option (B) is correct Analysis done below

Q: Write the standard equation of a circle that is tangent to the raxis, with a center located at…

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Q: Бх - 4 Given that the segments are tangent to the circle, set up the relationship for the given…

A: The length of the tangent AB=5x-4 The length of the tangent AD=16+3x

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: To find the point of intersection of the line and circle

Q: Tell whether the line AB is tangent to circle C and explain why 8. 15 'C 8

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Q: 2.) Question is attached!

A: Given that AB and BC are tangents  Tangents always make right angel with the radius.  So, angle OAB…

Q: 1. Which of the following pointS Is on the unit circle? c. (0.) D. (- A. (0, 2) B. (1,1)

A: According to the company policy we are supposed to answer only first question and rest can be…

Q: A 7.5 10 B 11,3

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Q: Write an equation of the line tangent to the given circle at the given point. (x + 7)2 + (y – 9)2 =…

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Q: Question 6 Given AB and AC are lines that are tangent to the circle with m ZBAC= 40°, what is m…

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Q: Find the exact length of the tangent to the circle with equ a? + 8x + y? – 6y + 16 = 0 from the…

A: Topic:- Geometry

Q: Find the point(s) of intersection between the circle and the line provided, then state if the line…

A: Given curves are:x2+(y+2)2=16       ..................(1)y=x-2…

Q: For the points (2, - 5) and (4, 5), (a) Find the exact distance between the points. (b) Find the…

A: Given query is to find the distance between the point and the midpoint.

Q: Which of the lines in Figure  are tangent to the curve?

A: Given, A curve with lines A,B,C,D from geometry we can define tangent as a tangent line on a plain…

Q: Determine if R is tangent to circle C. -17- 8. 15 A a. yes b. no

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Q: O Find the coordinates of points where a line intersects a circle.

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Q: Find the following for each pair of points:(a) The distance between the points(b) The midpoint of…

A: Given: Pair of points are given: 0, 0 and 4, 2 To Find: (a) The distance between the given points(b)…

Q: A 9.2 B 6.9 4.6

A: The length of the side AB=9.2 units. The length of the side BC=6.9+4.6=11.5 units.

Q: Which line would be tangent to the circle shown? Question 5 options:   a)  y = 3…

A: A tangent line to a circle is a line which touches the circle at exactly one point and it never…

Q: Question is attached!

A: Given that radius = 2  And x=1 and y=3 both are tangents  We will find the center of each given…

Q: For the points (−8,−5)  and (2,1) (a) Find the exact distance between the points. (b) Find the…

A: For the points (−8,−5) and (2,1)(a) To find the exact distance between the points.  (b) To find the…

Q: Which of the following is the equation of family of unit circles tangent to x-axis? A. (x – 1)? +…

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Q: 5.) Question is attached!

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Q: Let a and b be positive numbers. Find the length of theshortest line segment that is cut off by the…

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Q: Question 4 Consider the line y = r - 4 What is the y-intercept of the perpendicular line that goes…

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Q: For the circle x2 + y? = 2, which of the following is the equation of the tangent line at the point…

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Q: Find the distance for the point ?(0,0,0)to the line ?:?=5+3?,?=5+4?,?=−3−5?.

A: For the line, L : x-x1l=y-y1m=z-z1n Distance of point (a, b, c) from line L is given by,…

Q: 3.) Question is attached!

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Q: The equation of circle is (x+2) +(y-1)=4. Evaluate at point de (3,-1). 5 5

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Q: Suppose that (-5/6, y) is a point in quadrant III lying on the unit circle find y

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Q: Find the distance between each pair of points in the diagram. Round your answer to the nearest…

A: Given, The two points on the diagram We have to find the distance between them.

Q: For the circle x² + y? = 2, which of the following is the equation of the tangent line at the point…

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Q: Find the following for each pair of points:(a) The distance between the points(b) The midpoint of…

A: Find the following for each pair of points:(a) The distance between the points(b) The midpoint of…

Q: For questions 1-3, use the diagram shown. Ay 1. Find the length of the segment. 2. Find the slope of…

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Q: Question 3 Which equation represents a circle with the endpoints of its diameter at (4, -11) and…

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Q: Let the equation of the circle is given as x² + y² + 2x – 4y – 11 = 0. Find the distance between the…

A: here we will find nearest distance between point of the circle and line,

Q: Which line would be tangent to the circle shown? Ay %24

A: A tangent to a circle is a straight line which touches the circle at only one point. This point is…

Q: Is the point (13, -6) on the circle defined by (x– 13)²+ (v-+ 6)² =9? O Yes O No

A: Solution

Q: For questions 1- 3, use the clagram shown. 1 Find the length of the segment. 2. Find the slope of…

A: According to the diagram: End point of a line is A(-4, 0) and B(-2, -3).

Q: 10.5 A 10 14.5 B

A: The figure is given by To determine : Whether line AB is tangent to the circle or not.

Q: For questions 23-24, find the distance between the point and the given line. 23. (1,5,-2) and x=…

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Q: WEEK 6 (Theorems on Secant and Tangent Segments of a Circle) 1. Find the value of x in each of the…

A: We have to find the value of x in each diagram.   According to our guidelines we can solve only 1…