# a) What is the area of the tri-angle determined by the lines y= − 1/ 2x + 5,y =6x and they-axis?

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### math

a) What is the area of the tri-angle determined by the lines y= − 1/ 2x + 5,y =6x and they-axis? (b) If b > 0 and m < 0, then the line y = mx +b cuts off a triangle from the first quadrant. Express the area of that tri-angle in terms ofm andb. (c) The lines y = mx...

### brief calc

Calculate the total area of the region described. Do not count area beneath the x-axis as negative.Bounded by the line y = 6x, the x-axis, and the lines x = 4 and x = 5

### Calculus

1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the x-axis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where 1<=a<5. Using your calculator, find a. 3...

### brief calc

Calculate the total area of the region described. Do not count area beneath the x-axis as negative. Bounded by the curve y = square root of x the x-axis, and the lines x = 0 and x = 16 This is under Integrals, i don't know what i'm doing wrong, please help

### calculus

Hello, I have two questions that I've been working on, but I don't know how to get the answer...something similar is going to be on the test so I hope I can get some help, thanks! 1) At what angle does the tangent line to the wave y=cosx at periods (pi/3, 1/2) and (-pi/3, 1/2...

### math

in a big right triangle with a small right triangle inside of it. C is the length of the whole thing., R is the adjacent of the small tri. H is the oopisite of the small tri. B is the adjacent of the big tri. as well as the hypotenuse of the small tri. S is the oppisite of the...

### Math

I need the following definitions Please: point line intersecting lines parallel lines vertical lines horizontal lines acute angle obtuse angle right angle square rectangle trapezoid rhombus pentagon hexagon octagon triangle circle chord radius diameter cube rectangular prism ...

### Calculus

Volume created when the area bounded by the curve y = 1/x, the x-axis, and the lines x = 1 and x = 4 is rotated about: a) the x-axis: 2.356 units^3 Is this correct? b) the line y = 5 I'm not sure how to do this one.

### Pre-Calc

Can anyone help with the following problem please...Thank u so much Let f(x) =|9x|. For the area above the x-axis and between the lines x= -9 and x=18 a. draw and label a sketch with the area shaded b. find the area of the region in the xy-plane under the graph of f(x)

### Pre-calc

Can someone please show me the steps to this problem...Thanks in advance. Let f(x) = Ð9xÐ. For the area above the x-axis and between the lines x= -9 and x=18 a. draw and label a sketch with the area shaded b. find the area of the region in the xy-plane under the graph of f(x)

### Math

I really need a math dictionary... I need the following definitions Please: point line intersecting lines parallel lines vertical lines horizontal lines acute angle obtuse angle right angle square rectangle trapezoid rhombus pentagon hexagon octagon triangle circle chord ...

### Geometry

I have four questions: 1. The area of trapezoid ABCD is 60. One base is 4 units longer than the other, and the height of the trapezoid is 5. Find the length of the median of the trapezoid. 2. In trapezoid ABCD, line BC is parallel to line AD, angle ABD = 105 degrees, angle A...

### Calculus

Find the area bounded by y=1/x, the x-axis and the lines y=1 and x=4

### math

Determine the area of the region bounded by the given function, the x-axis, and the given vertical lines. The region lies above the x-axis. f(x)=4x√ , x=1 and x=4

### maths geometry

Find and write down a proof that the product of the gradients of two perpendicular lines is -1 Use trigonometry. Let the slope of a line from A to B be m1. Let the slope of a perpendicular line from A to C be m2. The tangent (or slope) of the line between these two lines is: ...

### calculus

How do I find the area bounded by the curve y = x^1/2 + 2, the x-axis, and the lines x = 1 and x = 4

### calculus

Find the area bounded by the curve y=1/2+2, the x-axis, and the lines x=1 and x=4. a.7 1/2 b.10 2/3 c.16 d.28 1/2

### math

when 2 lines intersect and form an acute angle A and both lines have a positive x-intercepts but the y-intercepts are on opposite sides of the origin. How would you write an equation showing the relationship between A and the angles that the normals make with the positive x-axis?

### Physics

The magnitudes of the four displacement vectors shown in the drawing are A = 14.0 m, B = 11.0 m, C = 12.0 m, and D = 25.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (...

### 12th grade calculus

How do I find the area bounded by the curver y = x^1/2 + 2, the x-axis, and the lines x = 1 and x = 4

### geometry

for Remy I need x and y. tri< ABC similar to tri< ADE th you . | \ y | \ 9 | \. 90 deg < | / \ | x/ \ | / \ 90 deg < B.__/________\. A 2 10

### Statics

If both the projection Pa and component Fb of the force F are 250 N, determine the magnitude of the resultant F and the orientation theta of the b-axis. There is a 34 degree angle from the resultant force to the a-axis. There is a 4 degree angle from the resultant force to the...

### Pre-Calc

Find the area of the region between the graph of y=1/x, the x-axis, and the vertical lines x = 1 and x = 4.

### Geometry

If two non parallel lines are perpendicular to two other straight lines , each to each . Show that the acute angle between the first pair of lines is equal to the acute angle between the second pair of lines.

### Straight Lines

If y = xtan(11π/24) and y = xtan(19π/24) represents two straight lines at right angles, prove that the angle between the axis is π/4.

### Math

Line a intersects line b, forming angles of 135 degrees and 45 degrees. A third line,line c, is perpendicular to line a and forms triangle ABC. What is the measure of the angle between lines b and c? a. 35 degrees b. 45 degrees c. 90 degrees d. 135 degrees e. Can't be ...

### graphing exponential function

P(x) = -(x-a)^4 (x-b)^3 (x-c) where a>0, b<0, c>0, a<c How do I sketch a graph of this? Thanks First you put the points a, b and c on the x-axis, doesn't matter precisely where, as long as it satisfies the conditions: a>0, b<0, c>0, a<c. Then you use ...

### calculus

find the area of the largest rectangle having one side on the x axis and inscribed in the triangle formed by the lines y=x, y=0, and 3x + y = 20

### Calculus

Find the area of the largest rectangle having one side on the x-axis and inscribed in a triangle formed by the lines y=x, y=0 and 3x+y=20.

### 3 grade math

1-how are perpendicular lines and intersecting lines alike? how are they different? 2-writing to explain- how can you use a right angle to decide how to name another angle?

### Chemistry

Draw the pH-titration curve for the following, label x and y axes accordingly. 10 mL of 0.1M H3PO4 with 0.1 M NaOH (Logk values = 2, 7, 12) I understand that the x-axis is mL of H3PO4 added and y-axis is the pH. But the logK values, is that the equiv-points for the tri-protic ...

### Calculus

y = 1/2x^2-x + 3 for 0_<x_<6. (b) Calculate the mid-ordinates of 5 strips between x = 1 and x = 6, and hence use the mid- ordinate rule to approximate the area under between x = 1, x = 6 and the x-axis. (c) Assuming that the area determined by integration to be the ...

### english

I have find words for bi, tri and prem/prim. I understand bi(bicycle, biceps) & tri(tricycle, triangle) etc. Could you explain prem/prim? Thanks. I

### math

the point P lies in the first quadrant on the line y=10-4x from P, perpendicular lines are drawn to the x and y axis. What is the maximum area of the rectangle formed?

### math

Radius of a circle with a sector area of 3 square ft determined by a central angle 1/4 radian

### Calculus

Find the volume of the solid generated by rotating about the y axis the area in the first quadrant bounded by the following curve and lines. y=x^2, x=0, y=2.

### Statics

If both the projection Pa and component Fb of the force F are 305 N, determine the magnitude F and the orientation è of the b-axis. There is a 70 degree angle from the negative y-axis to the a-axis. There is a 108 degree angle from the negative y-axis to the force.

### Statics

If both the projection Pa and component Fb of the force F are 305 N, determine the magnitude F and the orientation è of the b-axis. The angle between the negative y axis and the a- axis is 70 degrees. The angle between the negative y axis and the force F is 108 degrees. I ...

### Math 7 - Homework Question Check

12. Is the figure below a right triangle? On the lines below, explain how you determined your answer. Answer - The figure below is not a right triangle. The reason why it's not a right triangle is because this figure is a acute angle. Acute angle is less than 90 degrees and ...

### vectors

The minute hand of a wall clock measures 11 cm from its tip to the axis about which it rotates. The magnitude and angle of the displacement vector of the tip are to be determined for three time intervals. What are the (a) magnitude and (b) angle from a quarter after the hour ...

### calculus

The graph of f'(x) is shown for 0=< x =<10. The areas of the regions between the graph of f' and the x-axis are 20, 6, and 4, respectively. I'm going to describe the graph of f' since I can't post pictures. The first section of the graph goes up (like the sin function) ...

### math

y = ½ x^2 – x +3 for 0≤x≤6 (b) Calculate the mid- ordinates for 5 strips between x = 1 and x= 6, and hence use the mid-ordinate rule to approximate the area under the curve between x = 1, x = 6 and the x = axis. (c) assuming that the area determined by ...

### Math

y = ½ x^2 – x +3 for 1≤x≤6 (b) Calculate the mid- ordinates for 5 strips between x = 1 and x= 6, and hence use the mid-ordinate rule to approximate the area under the curve between x = 1, x = 6 and the x = axis. (c) assuming that the area determined by ...

### math

Graph y = ½ x^2 – x +3 for 0≤x≤6 (b) Calculate the mid- ordinates for 5 strips between x = 1 and x 6, and hence use the mid-ordinate rule to approximate the area under the curve between x = 1, x = 6 and the x- axis. (c) assuming that the area determined by ...

### math

Graph y = ½ x^2 – x +3 for 0≤x≤6 (b) Calculate the mid- ordinates for 5 strips between x = 1 and x 6, and hence use the mid-ordinate rule to approximate the area under the curve between x = 1, x = 6 and the x- axis. (c) assuming that the area determined by ...

### Math

Graph y = ½ x^2 – x +3 for 0≤x≤6 Calculate the mid- ordinates for 5 strips between x = 1 and x 6, and hence use the mid-ordinate rule to approximate the area under the curve between x = 1, x = 6 and the x- axis. assuming that the area determined by integration ...

### geometry

Lines BA and BC are opposite rays, Lines BD bisects angle EBC and Line BF bisects angle ABE. If the measure of angle EBD=4x+16 and the measure of angle DBC=6x+4 find the measure of ange EBD If the measure of angle ABF =7x-8 and the measure of angle EBF=5x+10 find the measure ...

### Physics

Four forces are acting on an object. Force 1 has a magnitude of 5N at an angle of 70° above the +x-axis; force 2 has a magnitude of 8N at an angle of 35° above the +x-axis; force 3 has a magnitude of 4N at an angle of 20° above the -x-axis; force 4 has a magnitude of 7N at ...

### Geometry

If [angle]D is a right angle and lines PN, FG, and BD are parallel to each other, prove [angle]SPN ~ [angle]SFG ~ [angle]SBD

### math

Find the area of the following plane figure. An ellipse has a major axis of 14 cm and a minor axis of 10 cm. Find its area. Area (to the nearest tenth) =

### math

If lines AB=6cm, AC=10cm, BC=2•4cm, CD=4cm and AD=X cm. Also angle ABC = angle ACD. (a).Prove that triangle ABC is similar to triangle ACD. (b).Determine the area of the quadrilateral ABCD if the area of triangle ACD is 60cm^2

### Pre-Calc

Seeking step by step help with this question...Thank you much. Let f(x) =|9x|. For the area above the x-axis and between the lines x= -9 and x=18

### Calculus

I seriously do not understand anything about this problem Please help. The equation of an ellipse centered at the origin is (x^2/a^2) + (y^2/b^2)=1 The area of the upper half of the ellipse can be determined by finding the area between the ellipse and the x-axis (y=O). The ...

### Physics

Determine the magnitude of the vector sum V=V1+V2 and the angle theta(x) which V makes counterclockwise from the positive x-axis. V1 = 34 units and makes a 20 degree angle with the +x axis V2 = 28 units and forms a 3,4,5 triangle with the -x axis

### Physics

Determine the magnitude of the vector sum V=V1+V2 and the angle theta(x) which V makes counterclockwise from the positive x-axis. V1 = 34 units and makes a 20 degree angle with the +x axis V2 = 28 units and forms a 3,4,5 triangle with the -x axis

### physics

A loop of surface area s1=10cm^2 placed ina uniform magnetic field Bof magnitude B1=8×10^-2T, has its plane perpendicular to the field lines . A second loop of area s2=15cm^2 is placed in another uniform field B2 of magnitude B2=0.1T such that its normal unit vector n makes ...

### physics

Three particles of equal masses travelling with velocities of 10m/s,20m/s and 30m/s respectively along x-axis at an angle of 30° to the direction of positive x-axis and Y-axis collide simultaneously and get sticked to each other 1)The combined particle will move with velocity...

### Algebra I

Rectangle ABCD has vertices C and d on the x-axis and vertices A and B on part of the parabola y = 9 - x^2 that is above the x-axis. a.) Find the coordinates of A, B, C, and D in terms of x. b.) Determine the Area of the rectangle as a function of x. c.) What is the domain for...

### Geometry

Two lines intersect so that angle 1 and angle 3 are vertical angles, angle 2 and angle 4 are vertical angles, and angle 1 and angle 2 form a linear pair. how do you slove for x and find the measure of all the angles when angle 2= x sqaured -3x and angle 4= 6x=10 please help it...

### MATH!

What type of lines have a slope of zero? Write the equation of a line with the slope of -2 which contains the point (3,6) The x-axis has 0 slope. What about any other line with 0 slope? Use y-y1=m(x-x1) with m=-2, x1=3 and y1=6 What?? These were your questions and my responses...

### Math

Use three rectangles of equal width and the left endpoint approximation method to estimate the area enclosed by the x-axis, the lines x = 1 and x = 4, and the curve y = x^(1/2). Could you please help me understand how to do this? Thanks in advance!

### world geogarphy

The imaginary north/south lines used by geographers as references on a map are called A. lines of latitude. B. mercator projections. C. equal-area projections. D. lines of longitude.

### Calculus

The graph of the equation x2 − xy + y2 = 9 is an ellipse. Find the lines tangent to this curve at the two points where it intersects the x-axis. Show that these lines are parallel.

### Straight Lines

Find the equation to and the length of the perpendicular drawn from the point(1,1) upon the straight line 3x + 4y + 5 = 0. The angle between the axis being 120°.

### calculus

Give the volume of the solid generated by revolving the region bounded by the graph of y=ln(x), the x-axis, the lines x=1 and x=e, about the y-axis

### calculus

Let R be the region in the first quadrant bounded by the graphs of y=e^-x, y=1/2x+1, and x=2. Then find the volume of the solid when R is revolved about each of the following lines... the x axis, y=-1, y=2, the y axis, x=-1, and x=3.

### Solids of Revolution

The region enclosed by the curve y =e^x, the x-axis, and the lines x=0 and x=1 is revolved about the x-axis. Find the volume of the resulting solid formed.

### physics

If a coordinate system is set up such that the positive x axis points in a direction 75° above the horizontal, what should be the angle between the x axis and the y axis?

### Math; Solve by Graphing

Which description best describes the solution to the following system of equations? y = −x + 4 y = 3x + 3 Line y = −x + 4 intersects the line y = 3x + 3. Lines y = −x + 4 and y = 3x + 3 intersect the x-axis. Lines y = −x + 4 and y = 3x + 3 intersect the...

### Straight Lines

The coordinates of a point P referred to axis meeting at an angle w are (h,k). Prove that the length of the straight line joining the feet of the perpendiculars from P upon the axes is sinw√(h² + k² 2khcosw)

### PHYSICS math

2. An airplane is 50,000 m above an observer and 2.1 km to the west of them and 1.5 km to the north of you. Determine the angle to the plane in the x – y axis and the total distance to the plane from you. Choose the x-axis east, y axis north, and z axis up

### Physics

An airplane is 5,000 m above an observer and 2.1 km to the west of them and 1.5 km to the north of you. Determine the angle to the plane in the x – y axis and the total distance to the plane from you. Choose the x-axis east, y axis north, and z axis up.

### physics

An airplane is 5,000 m above an observer and 2.1 km to the west of them and 1.5 km to the north of you. Determine the angle to the plane in the x – y axis and the total distance to the plane from you. Choose the x-axis east, y axis north, and z axis up.

### physics

An airplane is 50,000 m above an observer and 2.1 km to the west of them and 1.5 km to the north of you. Determine the angle to the plane in the x – y axis and the total distance to the plane from you. Choose the x-axis east, y axis north, and z axis up.

### algebra

Can someone check my answers on exploring conic sections? 1. Graph x2 + y2 = 9. What are its lines of symmetry? Every line through the center is a line of symmetry. The y-axis and the x-axis are lines of symmetry.( my choice) Every line through the center is a line of symmetry...

### Physics

A particle undergoes two displacements, measured from the positive x-axis, with counterclockwise positive. The first has a magnitude of 11 m and makes an angle of 67 ◦ with the positive x axis. The resultant displacement has a magnitude of 7.7 m directed at an angle of ...

### Math

Use the definite integral to find the area between the x-axis over the indicated interval. f(x) = 36 - x^2; [-1,13] So, what does be the area between the x-axis and f(x) equal? Thank you for any help! I'm really confused with this problem!

### calculus

Find the surface area of the solid generated by rotating the area between the y-axis, (x^2/y) + y = 1, and -1≤y≤0 is rotated around the y-axis.

### Physics

A rugby player passes the ball 6.78 m across the field, where it is caught at the same height as it left his hand. (Assume the player is facing the +x direction.) (a) At what angle (in degrees counterclockwise from the +x-axis) was the ball thrown if its initial speed was 12.1...

### Calculus

Find the area of the bounded region by the graph of x=2y-3 and x=y^2-2y in two ways (i) using x axis as refrence y axis (ii) using y axis as refrence x axis

### Math

Let AB and CD be two lines intersecting at point O. Let OP be the bisector of angle AOC, OT the bisector of angle POB, and OR the bisector of angle TOD. If angle POR = 25 degrees, find angle AOC and angle AOD.

### Math

Let AB and CD be two lines intersecting at point O. Let OP be the bisector of angle AOC, OT the bisector of angle POB, and OR the bisector of angle TOD. If angle POR = 25 degrees, find angle AOC and angle AOD.

### Physics!!!

A rod of length 1m lies in the lab frame making angle θ=30 with the x-axis. Find the length and the angle it makes with the x’-axis as seen by an observer moving at u=0.8c along the y-direction.

### math

The function f(x)= ax^3 - bx +c passes through the origin, f(-1)=4/3 and it has an extreme point at x=1 (i) Find the values of a, b and c. (ii) Sketch the graph (iii) Find the area bounded by the graph of f(x) and the x-axis between the lines x=-1 and x=1

### physics1

Vector A has a magnitude of 6 and is at an angle of 32.4 degrees measured counter-clockwise from the x axis. Vector B has a magnitude of 12 and is at an angle of 113.8 degrees measured counter-clockwise from the x axis. Vector C has a magnitude of 17 and is at an angle of 180 ...

### calculus

The area enclosed between the x-axis, the curve y=x(2-x) and the ordinates x=1 and x=2 is rotated through 2π radians about x-axis. ( a)Calculate the volume of the solid revolution formed. (b)Calculate the rotating area.

### calculus

The area enclosed between the x-axis, the curve y=x(2-x) and the ordinates x=1 and x=2 is rotated through 2π radians about x-axis. ( a)Calculate the volume of the solid revolution formed. (b)Calculate the rotating area.

### calculus(Lab)

Well, first graph the graph of f(x)=-1/10x^2 + 3 2. We are going to approximate the area between f and the x-axis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first quadrant, just most of it. Draw four inscribed ...

### physics

the total electric field e consists of the vector sum of two parts. one part has a magnitude of e1 = 1284 n/c and points at an angle θ1 = 30° above the +x axis. the other part has a magnitude of e2 = 1833 n/c and points at an angle θ2 = 62° above the +x axis. find ...

### Calculus

10. Consider the lines [x,y,z] = [4,7,-1] + t[4,8,-4] and [x,y,z] = [1,5,4] + s[-1,2,3]. a) Show that the lines intersect at the right angle. b) find the point of intersection. please and thanks!

### Calculus

This is a question from my textbook that does't have a solution and quite frankly I have no idea what to do. Any tips would be greatly appreciated. Given the function f defined by f(x) = 9 - x^2. Find the surface area bounded by the curve y = f(x), the x axis and the lines x...

### CALCULUS

FOR EACH PAIR OF LINES, DETERMINE SIZE OF ACUTE ANGLE, TO THE NEAREST DEGREE, THAT IS CREATED BY INTERSECTION OF LINES.:--Y = 0.5X+6 AND Y=-0.75X-1

### Geometry

Lines p and q are parallel and are intersected by transversal r. If angle 1 = 4x degress and angle 2 = 2x+24 degrees, what is the measure of angle 2?

### physics

The figure shows part of a circuit in which two wire segments are carrying currents as shown. The segment along the z-axis has length 4.0 m and that along the y-axis is 2.5 m long. Under the presence of an externally applied magnetic field B of magnitude 0.7T and makes an ...

### physics

A particle undergoes two displaments , measured from the positive x-axis, with counterclockwise positive.The first has a magnitude of 11 m and makes an angle of 88 with the positive x-axis. The resultant displacement has a magnitude of 6.8 m direceted at an angle of 115 from ...

### Calc.

Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the x-axis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, and shade the area under the tangent. Find out...

### Math probability question

a spinner is divided into three areas x,y,z. the measure of angle a is 90 degrees, angle b is 120 degrees and angle c is 150 degrees. If the spinner is spun once, find the probabliity that it will land in 1) area X 2) area y 3) area z

### math / science

find the vector with all of the following properties: magnitude 10 angle of 45 degrees with positive x-axis angle of 75 with positive y-axis positive k component

### construct a triangle

How can I construct a triangle ABC with vertices A(-4,2), B(4,3), C(1,-3). what are the angles in order from least measure to greatest measure Since you will have to use trigonometry to find the angles, surely you must know how to plot points. take the slope of each of the ...