The graph of x +y = 25 is a circle having center at the origin and radius 5. a. Write the equation of the tangent lines at the points where x = 4. b. Graph the circle and the tangent lines.

Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: 23. The line 3x - 4y + 14 is a tangent to the circle

A: 23 Given equation of tangent is 3x-4y+14. General equation of circle is x2+y2+2gx+2fy+c=0 radius of…

Q: The radius of a circle with centre at (-1, 2) and a tangent at x = -5 is ... Answer:

A: Distance between tangent and center of circle is radius.

Q: Write the distance d between the point (3, 1) and the line y = mx + 4 in terms of m. Use a graphing…

A: We have given a point (3,1) and an equation of line y=mx+4.

Q: The center of a circle lies on the line y =6x + 2 and is tangent to the x-axis at (-2,0). What is…

A:

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: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

A:

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

A: Given data:     The given equation of the line is: y=1.5x+4. The radius of the circle is: r=5. The…

Q: Suppose you have a circle with center (h, k) and radius r. Write an equation that would allow you to…

A:

Q: 5. Which is the equation of a circle with a center of (4, 5) and is tangent to the x-axis? 1. (x +…

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

A: The general equation for a circle is ( x - h )2 + ( y - k )2 = r2. substitute h=0, k=1 and r=3 into…

Q: Find the equation of the circle if the circle is tangent to the line x + y = 1 at the point (0,1)…

A:

Q: Find the standard form of the equation of the circle. Center (4, - 2) and tangent to the line x = 1

A: Center (4,- 2) and tangent to the line x=1we have to find equation of circle

Q: Find an equation of the circle that satisfies the given conditions. (Use the variable x and y.)…

A:

Q: Find the slope of the tangent to x^2+y^2=14^2 at x1=6 in the first quadrant. This is the equation of…

A: First find that point in first quadrant where we have to find the slope of the tangent than take the…

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

A:

Q: 1. Find the intersection of the circle and the line. Sketch the graph fx? + y? = 5) ly = 3x -55

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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

A: The objective is to find the point where the line intersects the circle in the first quadrant.

Q: Calculate the equation of the circle which is centered at the point of intersection of the lines…

A: We have to find the equation of circle whose center is the point of intersection of lines x+3y+3=0…

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

A:

Q: Given circle x^2+y^2=25, find the slopes of the tangents to the two point in the circle where x=-3

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

A:

Q: Find the equation of a circle with a center at (3,-1) and radius 5 units. O (x- 32 + (y - 12 - 25 O…

A: Solution is given as below:

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

A:

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

A:

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

A: Given , Equation of the line   Center of the circle  and radius

Q: Providing a proper explanation, trace the curves: (1) a?a = y°(2a - y), where a > 0,

A:

Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: The equation of the circle tangent to both axes with the center in the fourth quadrant and radius 2…

A: Equation of the circle is given by: (x-h )2 +( y-k )2 = r2 Where, (h,k) is the center and r is the…

Q: Y = 3x5 – 5x3 + 4

A: Given function is: f(x)=3x5-5x3+4 Given function is polynomial function whose domain and range are…

Q: (a) Find the slope of the tangent line to the circle x? + y? = 25 at the point (3, 4). (b) Which…

A:

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

A: The equation of line y=0.5x+4the circle with radius 6 and center (0,4)

Q: 4. Convert the equation r =8cos0– 2sin0 to Cartesian coordinates and fully describe the resulting…

A: see below the answer

Q: Sketch a graph of y? = x* – 12x , find the coordinates of the points on the graph of y? = x³ – 12x…

A: giveny2=x3-12xwhen tangent line is Horizontal ,then slope will be zero.differentiate the…

Q: The center of a circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: We have to find the equation of circle in standard form.

Q: At what point in the first quadrant does the line with equation y=2.5x+4 intersect the circle with…

A: We will solve graphically as nothing is specified. We have that the radius of the circle is 5 and…

Q: 24xy = y* + 48 dr y = 2 ke y = 4 а.

A:

Q: Give the equation of the circle centered at the origin and passing through the point (0, 3). D=0

A:

Q: (b) Find an equation of the circle that lies in the first quadrant, tangent to both x - axis and y-…

A: Solution is given below:

Q: Is the graph of x2 + y2 = 0 a circle? If so, what is the length of a radius?

A: The standard form of the equation of the circle is (x-h)2+(y-k)2=r2. Here (h,k) is the center and r…

Q: Find the slope of the tangent to x^2+y^2=19^2 at x1=7 in the first quadrant. This is the equation of…

A:

Q: Find the equation/s of the circle that has a radius of 5 and tangent to the  line 3x + 4y − 24 = 0…

A: The solution is given below

Q: Write the equation of a circle osculating with the curve f(x)=arctanx at the point x0=1.

A: Given: f(x)=arctanx x0=1.

Q: Find the equation of the circle with the center at (-4,-5) and tangent to the line 2x + 7y – 10 = 0.

A: We will find the equation of circle.

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

A:

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

A: Given that the equation of line, y=0.5x+1…

Q: 10. Find the equation of the circle that has a center at (3, 3) and is tangent to the y- axis? a.…

A:

Q: 2. Find the equation (in general form) of the tangent lines to the circle x² + y² - 8x + 10y = 128…

A:

Q: 8. Find the equation of the circle with center (-9, -3) and tangent to the x- axis.

A: