96 Answered Questions for the topic Analytic Geometry

Analytic Geometry

05/27/21

#### A line passes through the point (1, −3) and forms an angle of 30 ° with the line y = √3x - 5. Determine the equation of the line.

A line passes through the point (1, −3) and forms an angle of 30 ° with the line y = √3x - 5. Determine the equation of the line.

#### Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.

xy = 12, (-2, -6)(a) dy/dx= ? (b) At (-2,-6): y' = ?

#### Find an equation of a line that is tangent to the graph of f and parallel to the given line.

Function: f(x) = x3Line: 3x - y + 8 = 0 y= ? (smaller y-intercept)y= ? (large y-intercept)

#### Consider the following (slope and functions!)

Function
Line
f(x) = −1/16x2
x + y = 0
(a) Find f'(x). f'(x)= ?(b) Find the point on f'(x) where the tangent line is parallel to the given...
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#### Consider the following function:

f(x) = x3 + 8, (−2, 0)(a) Find an equation of the tangent line to the graph of f at the given point. y= ? (b) Use a graphing utility to graph the function and its tangent line at the point.

#### Consider the following function:

x, (1,1)(a) Find an equation of the tangent line to the graph of f at the given point. y=? (b) Use a graphing utility to graph the function and its tangent line at the point.

#### Consider the following function. f(x) = x2 + 3x − 1, (1, 3)

(a)Find an equation of the tangent line to the graph of f at the given point.(b)Use a graphing utility to graph the function and its tangent line at the point.

Analytic Geometry Calculus

05/05/21

#### A silver dollar is dropped from the top of a building that is 1351 feet tall. Use the position function below for free-falling objects.

s(t) = −16t2 + v0t + s0(a) Determine the position and velocity functions for the coin.
s(t) =
−16t2+1351
v(t) =
(b) Determine the average velocity on the interval [2, 3]. ft/s(c)...
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Analytic Geometry

06/04/20

#### Write the equation of the parabola with the vertex at the origin which passes through 5,6 and 5,-6 WRITE WITH NO FRACTIONS OR DECIMALS

Analytic Geometry

06/04/20

#### Find the equation of the parabola with vertex at the origin which has a horizontal axis of symmetry and passes through (-5,-8) WRITE WITH NO FRACTIONS OR DECIMALS

Analytic Geometry Calculus

05/29/20

#### What is the equation of the circle with the center O(2,-1) that is tangent to the straight line r: y=x+2?

Please include your solution. Thank you.

Analytic Geometry Perpendicular Line

04/12/20

#### whats the equation?

Write the equation of a line that is perpendicular to y=−x−6 and that passes through the point (−9,−4)left parenthesis, minus, 9, comma, minus, 4, right parenthesis.

Analytic Geometry

06/30/19

#### what is the distance between (-6,-10) (-2 -10)

#### Analytic geometry

Determine the type, draw graph and find the equation of central quadratic that symetric to the xyz plane and passing through (1,-2,1), (-1,0,3), (2,0,0) points?

Analytic Geometry Geometry

01/23/19

#### The graph of f(x) = x^2 is translated h units to the left. What is the new function and vertex?

10/08/18

#### What is the solution of this Analytical geometry question?

Find and graph the equation of the straight line through the intersection point of the two lines: x+4y = 3 , x + y = 0 and parallel to the straight line passing through the points ( 2, -1 ) and (...
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Analytic Geometry Midpoint

09/30/18

#### Pls show me step by step how to solve this

One endpoint of a diameter of a circle centred on the origin is (3,-4). Find the coordinates of the other endpoint of this diameter.

Analytic Geometry Distance From A Point To A Line

07/07/18

#### Find the shortest distance from the point (-2,-1) and 2x + y + 3= 0

Point (-2, -1)
and 2x +y + 3=0

Analytic Geometry

07/04/18

#### Given the following points: A ( -1,1 ); B ( 2, 5 ); C ( 3,0 ); and D ( 0,4 ) Line segment AB is parallel to line segment CD.

it's all about line segments

#### The general form of a line containing the point P(-2,1) and with y-intercepts four-fifths the slope.

Please show the complete solution,

Analytic Geometry

03/04/18

#### Straight line between X(-2, -3) and Y(6, 2). Road connecting that road and Z(1, 2). How long would this road be?

There are two campgrounds located at X(-2, -3) and Y(6, 2). These two campgrounds are connected by a straight dirt road. The campground officers want to build a patrol cabin at Z(1, 2).They also...
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Analytic Geometry Math

12/13/17

#### Determine the cost for an adult and for a child admission ticket.

The cost of admission to fantasy world theme park totalled $120.50 for a group of 11 children and 2 adults. The admission totalled $100 for another group consisting of 7 children and 3 adults....
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Analytic Geometry

11/23/17

#### Find an equation for the set of all points (x,y) such that the angle from ghe x axis to the line joining (x,y) and the origin equals y.

Answer is x=ycoty

Analytic Geometry Geometry

09/03/17

#### The line y=2x+3 intercepts the y axis at A.The points B and C on the Line are such that AB=BC.The line perpendicular to AC passes through the point (-1,6)

Could you help me to calculate the equation of BD, the coordinates of B and C and how to draw the graph of the Question. Thanks

Analytic Geometry

07/15/17

#### Verifying a Shape

I've tried this question repeatedly? Can any person who knows the analytic geometry field give me an answer? HELP?Quadrilateral PQRS has vertices P(3, 2), Q(0, 4), R(-2, 1) and S(1, -1)a) Verify...
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