How to determine is a mountain of certain height is visible from a distance of 65 miles if line of sight is tangent to earth's surface

Q: Show that the graphs of the two equations have tangent lines that are perpendicular to each other at…

A: Let m1 And m2 be the slopes of the graphs y = x and y =1x respectively. Tangent lines to these…

Q: Suppose you start at the origin, move along the x-axis a distance of 7 units in the positive…

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Q: A straight trail with a uniform inclination of 12" leads from a lodge at an elevation of 1000 feet…

A: This question can be solved using the concept of trigonometry.

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: I can't figure out the second portion of this question highlighted in red. Can you help me find the…

A: Your answer is correct but it's your mistake change the variable in the place of 'x' we take…

Q: What are Vertical Tangent Lines?

A: Vertical tangent line:

Q: Find the points where the tangent is parallel to OX. y = x4 - 8x3 + 22x2 - 24x + 9

A: Given: y=x4-8x3+22x2-24x+9.

Q: Use the Difference Quotient to evaluate the slope of the tangent line to the first parabola found in…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: what are two different ways to find the distance between two points?

A: Refer to the question ,The first way and the most common way to find the distance between two points…

Q: Which image shows a tangent line?

A: Tangent is a line that touches the circle only at a single point.

Q: Compare a secant and a tangent by defining each and uploading an image of each. Use the paperclip…

A: Defferent between the secant and tangent line .

Q: What is the value of the slope of the tangent line to the curve X-– 2xy - 2y=1 passing through the…

A: GIVEN CURVE : x2 - 2xy - 2y2 = 1             POINT : ( -3 , -1) TO FIND : SLOPE OF THE TANGENT TO…

Q: Find the distance between the points ( -4, 2) and ( 3, -2). Give your answer in decimal format and…

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Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: The slope of a line is double of the slope of another line. If tangent of the angle between them is…

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Q: Find the distance between the pair of points (5, 1) and (8, 5) . If necessary, express answers in…

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Q: Describe in your own words, the difference between the slope of a secant line versus the slope of a…

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Q: Find the equation of the line tangent to a circle with center at (3,2) and radius 5 at the point…

A: The center of the circle is:  (h, k) = (3, 2) Radius of the circle is:  r = 5 Now we have to find…

Q: Can we construct a tangent line using a secant line? If yes, how

A: Here we need to discuss about tangent line ans secant line.

Q: Find the tangent and normal lines to the curve ペー9ーチ at the Pomt (-62)

A: Given, The equation of the curve  x2-xy+y2 = 7  We have to find the equation of tangent and normal…

Q: ie point where x (-)- %3D

A: Maxima and minima: f(x)=x2+kxWe should find the value of f'(x) Then we calculate the value of x for…

Q: How are the two secants segments drawn from the exterior point to the circle related to their…

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Q: find the tangent of the angle from the line through (-2,-3) and (4,3) to the line through (-1,6) and…

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Q: to find slop

A: Given : f(x)=x2-6x To find: Slope at the given point

Q: When two tangents intersect, the distance between intersection point and the point of tangency for…

A: Here tangent T1 and T2 are two tangent intersecting at point P but the distance between intersection…

Q: Find the slope of the tangent line at (8, -8).

A: Given- Point 8,-8. To Find- The slope of the tangent line at the given point. Identity Used- tanθ=yx

Q: Illustrates the geometric idea for finding the tangent line to a curve?

A: A tangent to a curve at a particular point is a straight line that touches the curve exactly at one…

Q: Explain how you would approximate the slope of the tangent at a point without using first…

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Q: Construct Tangents from a Point Outside the Circle

A: To construct tangents from a point outside the circle

Q: The line that goes through the point (0,0) so that the tangent of the angle it make with the x-axis…

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Q: Find the points on the given curve where the tangent line is horizontal or vertical.

A: ***As per our guidelines, we are supposed to answer only one question. Since you have posted more…

Q: Find the coordinates of the point P in the graph at which the tangent line passes through (5, 0).…

A: The given function is fx=16-x2. let the given point P be h,k. It is given that h,k is on fx=16-x2.…

Q: Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5-…

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Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

Q: Find the points where the line y=−x/4 intersects a circle of radius 8 centered at the origin. Give…

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Q: Find an equation of the tangent line

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Q: Find equations of the lines passing through the origin that are tangent to a circle with radius 2…

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Q: determine the general form of equation of the line that is tangent to a unit circle at a point 30…

A: Given: An unit circle with center at origin and a point P on the circle at angle of 30° in the…

Q: What would the slope of the tangent line be at the point 3,3 on the folium of Descartes x^3+y^3=6xy…

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Q: 11

A: A tangent is a line segment which touches the circle at only one point. A tangent is perpendicular…

Q: Find an equation of the tangent line to the graph at the given point.  square root of x + square…

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Q: Find the points on x axis which are at a distance of 2 sqrt 5 from the point (7,-4) .How many such…

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Q: Give the equation of a circle tangent to the line 3x + y -2 = 0 at (-1, 5) and with a radius equal…

A: Topic = Circle

Q: Write down the slope, of tangents of circle x +y2 =25 parallel to order 3x- 54 +8=0

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Q: Find an equation for the line that goes through the point (0,0) so that the tangent of the angle it…

A: Given, (x1,y1)= (0,0) tangent of the angle it makes with the x-axis=0

Q: À line that intersects a circle at only one point is called a tangent.

A: Determine whether the given statement is true or false.

Q: Give an example for tangent line?

A: Find the tangent line to f(x) = x2 at x = 1. We need a point and a slope. Since f(1)=1, the point we…

Q: What is a tangent line?

A: The tangent line of a function is a straight line that passes (touches) through (not crosses or…

Q: A straight trail with uniform inclining leads from a hotel, elevation 5000ft to a lake in a valley,…

A: Grade= 100* tan x where, tan x = (elevation of hotel - elevation of lake)/(length of trail)…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.