If y = x^2 - 2x - 8 has two intersection points A and B with...

Question

Question

If y = x^2 - 2x - 8 has two intersection points A and B with the x-axis, and its vertex is P. Find the area of ΔPAB.

Answer 1

Answer #1

sol. Given parabole y=%-20-8 y = (1-1),–8 =61-2²-9 (1-1)² = 4+9 (a- h ua (4-k) a represents a open up parabole whose verlex a

Answer 2

Similar Homework Help Questions

3. Consider the two planes, P and P2, where Pi is given by the general equation 2x y+2-5 and P2 passes through the points (0,0,-1), (3,2,4) and (2, 4,5). (a) Find L, the line of intersection of the t...

3. Consider the two planes, P and P2, where Pi is given by the general equation 2x y+2-5 and P2 passes through the points (0,0,-1), (3,2,4) and (2, 4,5). (a) Find L, the line of intersection of the two planes. (b) Suppose another line, L2, has vector equation (x, y, z) = (8,3,-2) + t2(-2, 1, 1). 6 marks] Find where Land L2 intersect 4 marks 3. Consider the two planes, P and P2, where Pi is given by the...
1. .] For the following function f(x)= x* – 2x - 5 Determine the Inflection Points...

1. .] For the following function f(x)= x* – 2x - 5 Determine the Inflection Points ONLY 2. For the given sketch of y i) Find the intersection points A, B and C. (Do not Estimate!) ***2, y =x +2; ii) Determine the shaded area enclosed between the given two curves y =*+2, y=x+2
1. .) For the following function f(x)= x4 – 2x - 5 Determine the Inflection Points...

1. .) For the following function f(x)= x4 – 2x - 5 Determine the Inflection Points ONLY 2.. For the given sketch of y = :) Find the intersection points A, B and C. (Do not Estimate!) +2, y=x+2= ii) Determine the shaded area enclosed between the given two curves -*+2, y =x +2

3. Find the points of intersection of the pairs of curves a. y = x² +3;...

3. Find the points of intersection of the pairs of curves a. y = x² +3; y = 3x +1 b. 2x² +2 y2 = 5; xy = 1 4. Identify and sketch the curve represented by the given equation. x? - + y2 = 1 a. 4 (y+1) 4 b. (x - 1)? + 4 c. x² - y2 =-1
Find a vector parallel to the line of intersection of the two planes 2x - y...

Find a vector parallel to the line of intersection of the two planes 2x - y + z = 1, 3x + y + z = 2.
8. Consider the region bounded by the y = x2 - 2x + 1 and y...

8. Consider the region bounded by the y = x2 - 2x + 1 and y = 1 + 2x - x? Find the area of the region. a. b. Find the volume of the solid when the region is rotated about the x-axis. c. Find the volume of the solid when the region is rotated about the y-axis. d. Find the volume of the solid when the region is rotated about the line x = 5. e. If the...

7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x +...

7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
D 3. Write the coordinates of the points of intersection of the line y = 2x...

D 3. Write the coordinates of the points of intersection of the line y = 2x + 3 and the parabola y = Enter answer...
Consider the figure below. f(x) = 2x – x2 g(x) = x2 - 6x 81x) -10...

Consider the figure below. f(x) = 2x – x2 g(x) = x2 - 6x 81x) -10 (a) For the shaded region, find the points of intersection of the curves. (x, y) = ( 0,0 ) (smaller x-value) (x, y) = ( 4,-8 ) (larger x-value) (b) Form the integral that represents the area of the shaded region. dx (c) Find the area of the shaded region.

16 pts) 1. Determine the area of the region between the two curves y=x and y+2x...

16 pts) 1. Determine the area of the region between the two curves y=x and y+2x by integrating over the x-axis. Hint: Refer the figure and note that you will have two integrals to solve by splitting the region between the two curves into two smaller regions. lo pl [6 pts) 2. Find the area of the region bounded by the curves y=12 - x, y=vx, and y20