10. What is the y-intercept for y = 2x + 1? Type your answer as an ORDEREI PAIR.

Q: Find the distance between the point (5, 1) and the line y = 3x + 1. O 3V10 O 7/10 O 9/10 O 5V10

A:

Q: 2. Find the equation of the line that passes through the points of intersection of the curves y“ = x…

A: We plug x=y2 in…

Q: 5- Find the Line that passes through the point (l,2) and througgh the point of inter Section of the…

A: In this question given that point (1,2). And two lines x +2y = 3 and 2x -3y = -1. And we find that…

Q: 15. Find the point on the line y 3x that is closest to the point (50,0).

A:

Q: 3/2 Find the length of the curve. y = (x* +4)" OSxs2

A: see below the answer and calculation

Q: 18. y=-2rt+ 3r

A:

Q: c. The curve y= Inx, the lines x 4 and the x-axis.

A:

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: The point (a,b) and (c,d) are points on the graph of y= x3+5 whose tangent lines are perpendicular…

A: y=x3+5slope at a,b =2x2=2a2     ...(1)slope at c,d =2x2=2c2     ...(2)slope of given line = -13…

Q: For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3y = 1?

A:

Q: B) Use Lagrange multipliers to find the the points on the circle a² + y? = ry has its extreme…

A:

Q: Find the midpoint of points A(-9,7) and B(1, 10) graphically.

A: We will use section formula to find solution to the problem .

Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

A:

Q: Use the given condition to write an equation for the line in slope-intercept form. Passing through…

A: It is given that the line passes through (5,4) and is perpendicular to the line

Q: Suppose (P, Q) is the point on the graph of y=/x closest to (1, 0). What is the value of P+ Q?

A: Let's find.

Q: Imeter) Y ( meter) POINT 1 1254,72 2951,76 2 1362,50 3205,13 3 1578,94 3713,80 4 1843,68 4335,92

A: A table of data is given, and the general equation of a line is y=ax+b. Here, a is the slope, and b…

Q: - For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3-y = 1?

A:

Q: 9. Find a point on the y-axis which is equidistant from the point A (6,5) and B (-4,3).

A:

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: 17. Write the slope-intercept form of the equation for 8x - 7y = 6. Show all work. (Hint: y = mx +…

A: Given 8x-7y=6 Add '7y' on both sides 8x-7y+7y=6+7y 8x=6+7y

Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: Given, ∆A'B'C' is formed after a reflection across a line through point P followed by a translation…

Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

A:

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

A: ANSWER :

Q: 1. Find the point on the line y = x nearest to the point (4, 1).

A: Since, we have been asked to solve part(i) which aims to findthe point on the line y=x nearest to…

Q: 6. Suppose we want to find a line y = Bo + B1x that best fits the following data:

A: 6. Given,

Q: 5. The point P(0.31 ,±y)is

A:

Q: find equation for the line threugh (el) and farullel to z-axis. Q3 :

A: To determine: The equation of the line passing through the point (1,1,1) and parallel to the z-axis.…

Q: The coordinates of a point on the line x+ y+1 = 0 which is at a distance /2 units from the line 3x +…

A: Given: The line x+y+1=0 which is at a distance 2 units from the line 3x+4y-2=0 To find: Coordinates…

Q: Find the point on the line y = 3x + 2 that is closest to the origin. (х, у) %3D

A:

Q: 2 Show that the line y = x +3x+m for all values of m. y= mx+4 will touch or intersect the curve

A:

Q: Find the point on the curve y = √x closest to the point (2,2)

A: Here we have to find the point on the curve y = sqrt (x) closest to the point (2, 2)   use the…

Q: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates x -…

A: Definition used -                    Reflection of a point over the x-axis -…

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: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D

A:

Q: Suppose ABC is reflected across the line x = -1. What are the coordinates for the image of A?

A: There is no change in y coordinates while taking mirror image across x = k.

Q: 27 The x-intercept of the line x=6y +9 is (9,0) صواب ه خطأ

A:

Q: And the sope and y-ntercept (r possble) of the Ine. Lir- 14y - 2 Arst, we must rewrite the equation…

A: Given  13x-14y = 28 equation of a line in slope intercept form is given by  y = mx+c         where m…

Q: For what values of c is there a straight line that intersects the curve y = x' + cx' + 12x² – 5x + 2…

A: Given the equation of a curve , y=x4+cx3+12x2-5x+2. To find the value of c such that there is a…

Q: 11) Find the point(s) of inflection for as an y=8x-x³ (point(s) of inflection should be given…

A:

Q: If xy + 6ey = 6e, find the value of y'' at the point where x = 0.

A: Ans.        xy+6ey =6e          xdydx+y+6eydydx=0       xd2ydx2+dydx1+dydx+6ey d2ydx2+6eydydx2=0at…

Q: B is the midpoint of line segment AC. Find x C 5X-6 3X +4 Ox = -5 O x 2 Ox = 5 Ox = 10

A: A line segment is a finite section of a straight line. A mid-point of a line segment is a point…

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

A:

Q: 8. What is y-intercept of the line 4x + 2y = 12? How di you find it.

A:

Q: Suppose that dy xy + x d.x and that the point (5,0) lies on the graph of (x, y). What is the value…

A:

Q: 19. Find the point on the line y= 2x + 3 that is closest to the origin.

A:

Q: 3. (а) х-ахis (b) y-axis y-4-

A:

Q: Evaluate the length of the curve y = 3 + 3Vx +1 , 0<x< 3

A:

Q: (14) Evaulate dA where R is the set of all points in the first quadrant with x + y <1.

A: Evaluate the integral ∬ex+ydA where R is the set of all points in the first quadrant with x+y≤1…

Q: Find the paths orthogonal to the family of curves: cy ^ 2 = xe ^ x

A: Orthogonal path is a curve if it cuts every member of a given family of curves at right angles.

Q: 4 The line y= -Lx+3 has a perpendicu lar which fangent to the graph of y= (x²-2) (2x+k) at x=-l,…

A: