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Question 1167905: The region R in the first quadrant is bounded by y=6sin(πx/2), y=6(x-2)^2 and y=4x+2, and contains the point (2,6)
The volume of the solid generated by rotating R about the x-axis is:
The volume of the solid generated by rotating R about the y-axis is:
The volume of the solid with R as its base and square cross-sections perpendicular to the x-axis (and to the xy-plane) is:
Click here to see answer by CPhill(1959)

Question 1210191: What is the distance between the points (\cos 37^{\circ}, \sin 37^{\circ}) and (\cos 127^{\circ}, \sin 127^{\circ})?
Click here to see answer by ikleyn(52746)

Question 1210191: What is the distance between the points (\cos 37^{\circ}, \sin 37^{\circ}) and (\cos 127^{\circ}, \sin 127^{\circ})?
Click here to see answer by CPhill(1959)

Question 1210148: Three unit squares and two line segments connecting two pairs of vertices are shown. What is the area of triangle ABC?

A is at (0,0), B is at (1,0), and C is at (1,1).
Click here to see answer by ikleyn(52746)

Question 1210146: What is the equation of the reflection of the line y = 2x + 1 across the line y = 5x - 3? Give your answer in slope-intercept form.

Click here to see answer by CPhill(1959)

Question 1210144: Let R=(a,b) be the image of rotating point P=(7,2) clockwise by 150^\circ degrees around Q=(12,-5). What is b?
Click here to see answer by CPhill(1959)

Question 1210142: Point B is the reflection of point A=(2,-1) over the line y=1. Point C is the reflection of point B over the line x + 2y = a. If C=(-5,8), what is a?
Click here to see answer by CPhill(1959)

Question 1209889: How to put this on a graph (0.5,2)(3,3.5)(6,2)(3.5,0.5)

Click here to see answer by CPhill(1959)

Question 1209886: Find the area of the region determined by the system
y \ge |x|, \\
y \le -|2x + 1| + 6.
Click here to see answer by CPhill(1959)

Question 1172925: Mrs. Diez has savings account in two banks. The combined amount of these savings is at least Php 150,000. One bank gives an interest of 4% while the other bank gives 6%. In a year, Mrs. Diez receives at most Php12,000.
a. What mathematical statements represent the given situation?
b. Draw the graphs of the mathematical statements.
c. How will you determine the amount of savings in each bank account?
d. Give one possible amount of savings in both accounts.
Click here to see answer by CPhill(1959)

Question 1209537: Let k be a positive real number. The line x + y = k/2 and the circle x^2 + y^2 = 3x - 6y + k are drawn. Find k so that the line is tangent to the circle.
Click here to see answer by CPhill(1959)

Question 1196733: Venus Orbit Problem
Venus orbits the sun in an approximately circular path. Venus is about 67 million miles
from the sun. A comet is located 80 million miles north and 73 million miles west of the
sun. The comet follows a straight-line path and exits Venus's orbit at the east most edge.
(Draw a picture and impose a coordinate system with the sun at (0, 0))
a) Find the location where the comet enters Venus's orbit to the nearest tenth.
Describe the location relative to the sun.
b) What is the closest distance the comet comes to the sun. Give your distance to the
nearest tenth,
c) If the comet travels at a constant speed of 0.02 million miles per hour, then how long
does the comet stay in Venus's orbit?
Click here to see answer by ElectricPavlov(122)

Question 1209308: Let c be a real number. What is the maximum value of c such that the graph of the parabola y = 2x^2 has at most one point of intersection with the line y = x+c?
Click here to see answer by math_tutor2020(3816)

Question 1209279: The graph of y = ax^2 + bx + c has an axis of symmetry of x = -3. If y = a(x - h)^2 + k, then find h.
Click here to see answer by ikleyn(52746)

Question 1209280: Graph a parabola with axis of symmetry x = 0, an x-intercept at x = 7, and y-intercept at y=3.
Click here to see answer by ikleyn(52746)

Question 1209278: Find the area of the region enclosed by the graph of x^2 + y^2 = 2x - 6y + 6.
Click here to see answer by ikleyn(52746)

Question 1209271: Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 5x^2 + 17x + 20.
Click here to see answer by asinus(45)

Question 1209270: Find the vertex of the graph of the equation x - y^2 + 8y = -4y^2 + 15y + 16.
Click here to see answer by asinus(45)

Question 1209269: The parabola y = ax^2 + bx + c is graphed below. Find a+b+c. (The grid lines are one unit apart.)
The parabola passes through the points (-3,8), (2,5), and (6,18).
Click here to see answer by asinus(45)

Question 1208819: Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$
Click here to see answer by timofer(104)

Question 1208377: Find the equation of the circle passing through the points (1,2),(3,6),(5,4).

Click here to see answer by MathTherapy(10549)

Question 1208377: Find the equation of the circle passing through the points (1,2),(3,6),(5,4).

Click here to see answer by math_tutor2020(3816)

Question 1208377: Find the equation of the circle passing through the points (1,2),(3,6),(5,4).

Click here to see answer by timofer(104)

Question 1208377: Find the equation of the circle passing through the points (1,2),(3,6),(5,4).

Click here to see answer by ikleyn(52746)

Question 1208377: Find the equation of the circle passing through the points (1,2),(3,6),(5,4).

Click here to see answer by josgarithmetic(39613)

Question 1208165: I understand that the x-coordinate of the point (x,y) represents the x-axis and the y-coordinate represents the y-axis.

I also understand that the x-coordinate represents the domain of a function and the y-coordinate the range of a function.

Agree?
Click here to see answer by ikleyn(52746)

Question 1208166: The domain and range of a relation are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
Given set A = {(2,3), (4,5),(7,6), (8,9),find the domain D and the range R.

I say the following:
D = {2, 4, 7, 8}
R = {3, 5, 6, 9}

You say?
Click here to see answer by ikleyn(52746)

Question 1207282: Rewrite the following equation in standard form.
y = - 8x + 9
Click here to see answer by ikleyn(52746)

Question 1207276: In the coordinate plane, the point X(1, 0) is translated to the point X'(-3, 1). Under the same translation, the points Y(5, -2) and Z(4, 4) are translated to Y' and Z', respectively. What are the coordinates of Y' and Z'?

Click here to see answer by MathLover1(20849)

Question 1206218: plot -8,0 and -4,6
Click here to see answer by MathLover1(20849)

Question 1206193: Given (20,8) and (x,−1), find all x such that the distance between these two points is 15. Separate multiple answers with a comma.
Click here to see answer by Theo(13342)

Question 1205911: A tennis ball is thrown on an incline off a 8m high ledge. if the height of the ball can be represented by the equation , where h is equal to the height of the ball in meters, and t is equal to the time in seconds for it to reach the ground, find out how long the ball will take to hit the ground, and the maximum height it can reach before it hits the ground.
Click here to see answer by Alan3354(69443)

Question 1205863: Below was a school assessment question.
"Where is the point (0,8) located on the coordinate plane?
1). along the x-axis
2). along the y-axis
3). at the intersection of the axes
4). at the intersection of the axes at the origin.
Please explain why which answer is correct.
Click here to see answer by MathLover1(20849)

Question 1205820: A point T on a segment with endpoints D (1, 4) and F (7, 1) partitions the segment in a 3:1 ratio. Find T. You must show all work to receive credit.
Click here to see answer by greenestamps(13195)

Question 1205793: 20x−8y=40
Click here to see answer by josgarithmetic(39613)

Question 1205793: 20x−8y=40
Click here to see answer by MathLover1(20849)

Question 1205643: Find all points satisfying x+y=0 that are 8 units from (-2,3)
Click here to see answer by math_tutor2020(3816)

Question 1205643: Find all points satisfying x+y=0 that are 8 units from (-2,3)
Click here to see answer by josgarithmetic(39613)

Question 1205632: Graph this function. F(x) ((( -3x -1 if -6 is less than or equal to x is less than equal to -4 -1/4 is less than x is less than or equal to 8. ( I tried plugging in those numbers … ie. -3 x -6,-5,-4 minus 1. Is that how you solve this ?
Click here to see answer by math_tutor2020(3816)

Question 1205352: Write an equation of the line that passes through (4,3) and is (a) parallel and (b) perpendicular to the line shown. The two points on the line are (1,6) and (2,2). I have already tried y=-4x-13.
Click here to see answer by ikleyn(52746)

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