When the line y = 2x + 3 is reflected in the line y = x + 1, what is the equation of the reflected line?
Find the point at which the line fix)--2x-3 intersects the line g(x) -x (x, y) =(1-3,-x Recall that whhen two lines intersect, their point of intersection has the same y-coordinate as well as the same x-coordinate. Thus, if rx)-y and g(x)-y, then fx)-g(x). What are the two expressions in terms of x that are set equal to each other and then solved for x?
2. Find the equation of a line which is perpendicular to the line 2x-y=4 and include P(3,4) 3. Find the equation of a cirle with the radius 3 and the center (1,-1) 2.5 4. Find the radius and the center of the following cicle equation 05 x² + y² - 2x + 4y - 4 = 0 1. GÖ
in a reflection the image of the line y-2x=3 is the line 2y-x=9.find the axis of reflection.
10r y Which ofthe flywing is equivalent 1T77 ? 2x A. 9. B. 2y 2x 3r -9x + 18 10 Which of the following is equivalent to the fraction 6-x x2-25 When is divided by , the quotient is x +5 9x A. 27x B. 3r-15 x-20 C. 12. Which ofthe following is equivalent to-li A. B.一 D. 13. Which equation represents a line that is perpendicular to the line represented by 2x-y 77 B. y=-x+6 C. y=-2x + 6...
5. (6) Find the equation of the line tangent to the curve y = f(x)=x* –2x+1 at the point (2, 13) and use it to estimate f (2.01).
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x + 3y = 7 . Find the equation of the line passing through (5, 2) and (− 3, 2) . Graph the following functions and find the x − intercept, y - intercept, slope in each case. 7x − 4y = 10 2y − x − 1 = 0
please Show clear work and step-by-step instructionsFind the slope and equation of line tangent to the curve y = (2x-16)/√x at x = 4.
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4. Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4.
3. Find m for which the following lines do not form a triangle. x+2y 5D, 2x-3y-4 .2, mx+y 0 [Sol] Since line 3 passes through the origin, lines D, 2 and 3will not form a triangle in the following three cases: wor When D and 3 are (i) parallel. doa When 2 and 3 are (ii) parallel. When D, and 3 all intersect at one point. (ii Therefore, from ( i ), (ii) and (iii), m 4. Find a for...
14) Find an equation of the tangent line to y= -2x2 + 2x + 1 at the point (-1,0) O y = 3x + 3y = 3x + 3 O y = 6x + 6 O y=-3x - 3 Oy= -6x - 6