Use the graph and the translation (x,y) → (x+ 3.y + 4) to answer parts a and b below.

Q: Find the point on the line y = 2x + 3 that is closest to the origin.

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

Q: Find the image of B(3, 1) reflected in the line y=-2.

A: Step 1: Find foot of perpendicular of B on given line. Step 2: Use mid point formula.

Q: Find the distance between the points of intersection of the graphs y = x+2 and y = 4 - x.

A:

Q: Graph the line y y%3D +2 onto the coordinate plane below.

A:

Q: Find the closure of a straight line in R x R_.

A: Given: Straight line in ℝ×ℝ. To find: Closure of straight line in ℝ×ℝ.

Q: The equation of the line tangnet to the graph of 24e^x at x=2?

A: Find the derivative of the given function.

Q: Draw the line y = 2.x + 1 and its image under reflection in the y-axis.

A: The given line is  y=2x+1 The slope of the line is 2, Y-intercept is 1,0 and X-intercept is -0.5,0.…

Q: Find the point on the line y = 2x + 8 that is closest to the origin.

A:

Q: find the value of y such that the points are collinear  (5,5) (-1,y) (2,4)

A: if three points are collinear then it means they cannot form a triangle so the area of triangle in…

Q: Find the point on the line  y = 4x + 3  that is closest to the origin

A:

Q: The distance of the line 7x+ y- 5=0 from the origin is A 2 B V2 D2/2

A:

Q: Determine the equation of the perpendicular bisector of KL if it's endpoints are at K O-7,5) and…

A: Given:    Points : K ( 7 , 5 )    ,   L ( 9 , 1 )

Q: Find the image of the given point under the given translation. P(-3,-3) T(x, y) = (x – 8, y - 3) P'…

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Q: , and mz = X+ 20 A (3x) 20 -2 =180 x+20)° What is the value of x? What is the image of the point…

A:

Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

A: Given points are: 4,-1 and -2,3 The distance between the points 4,-1 and x,y is: d1=x-42+y+12 The…

Q: The point that is symmetric with respect to the x-axis to the point (2,-5) is _____.

A: The point that is symmetric with respect to the x axis to the point (2,-5) is be found with the help…

Q: Find the equation that is perpendicular to y = x +3 and passes through the point (-3, -4). %3D Oy =…

A:

Q: Find the point on the x-axis that is equidistant from the points (0,−1) and (5,−3)

A: To find the coordinates of the point satisfying the given conditions

Q: Find the relationship between x and y such that point (x,y) is equidistant from the points (7,1) and…

A:

Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: Find the point on the line y = 5x + 3 that is closest to the origin.

A: *to find:- shortest distance point coordiantes from origin.

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A: We have to find any intercepts and test for symmetry with respect to both axes and the origin. (If…

Q: Graphically, find the point (x1, y1) which lies on both lines 2x + y = 4 and x −y = 2.

A:

Q: y = Vx, y = 0, and x = 81 is revolved about the line y = 9.

A:

Q: How is the line y = 1 converted by mapping w = e? ?

A: In this question, we convert the line y=1 by mapping w=e^z.

Q: Determine the points of intersection of y = x2 and y = x + 1.

A:

Q: Use the result in Exercise 21 to find the equation of the line that contains (4, 5) and is…

A: Given- 2x+3y=6 To find- The equation of the line which is passing through the point 4,5 and…

Q: Suppose W(8, -2) was transformed across the line y = -x. What is the y coordinate for the image of…

A: I have stated the used formula in the solution

Q: an object is traveling on a path of y=sprt(x+3) where will the object be closest to (2,0)

A: We have to find the closet point to (2, 0)

Q: Use slopes to verify that the graphs of the equations Ax + By = C and Bx - Ay = D are perpendicular.…

A:

Q: The lines joining the origin to the point of intersection of the line lx+my=1 and y²=4ax are at…

A:

Q: y = 6x?, 1, and y 0, about the -axis.

A:

Q: 2. Find the images of the mapping 22 of the line y 2. W =

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Q: Write the translation rule for the graph to the right. |(x, y) → (_, –

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Q: Find the point on the line x + 2y = 5 that is closest to the origin.

A: Let the point (x, y) on the given line x+2y=5  is closest to the origin (0, 0). observe that…

Q: If B has a y-coordinate of 4, what is the x-coordinate?

A: point B has x-coordinate 3 see the explanation and calculation below

Q: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

A:

Q: For the rectangle windows whose L(-3,-2) and R(2,3), Find the intersection point for X(-1,1) to…

A: Given rectangle windows has: Lower left hand corner at Upper right hand corner at To find: The…

Q: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

Q: Find the point of the line y = 2x − 1 that is closest to the origin.

A:

Q: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find the…

A: The solution for the above solution is as shown below.

Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) & (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

Q: If you wanted to reflect a line segment with one endpoint at (x,y) about the x-axis, which of the…

A:

Q: Find the point on the line  y = 5x + 2  that is closest to the origin.

A:

Q: To find the y-intercept, the x coordinate must be 0. O True O False

A: Given that To find y-intercept is the x-coordinator must be 0.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.