# which of the following sets gives the x coordinates where the parabola y=x^2+4X-50 and the line y=7x-10 intersect when drawn in the coordinate plane

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### trig

which of the following sets gives the x coordinates where the parabola y=x^2+4X-50 and the line y=7x-10 intersect when drawn in the coordinate plane

### trig

which of the following sets gives the x coordinates where the parabola y=x^2+4X-50 and the line y=7x-10 intersect when drawn in the coordinate plane

### Calculus

a) Find parametric equations for the line through (4, 1, 4) that is perpendicular to the plane x − y + 2z = 7. (Use the parameter t.) b) In what points does this line intersect the coordinate planes? xy-plane? yz-plane? xz-plane?

### math

A right triangle is drawn on a coordinate plane. Its base is the line segment between (2, 2) and (9, 2). The hypotenuse is a line segment that begins at (2, 2) and has slope 1.25. Find the coordinates of the third point.

### maths - geometry

In a space with an orthonormal coordinate system consider the plane; &: 4x-3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections???) (ii)Find the parametric equations for the line of intersection of the ...

### Algebra 2

how do i do these problems???? Graph each pair of equations in the same coordinate plane. Find the coordinates of the point where the graphs intersect. Then show by substitution that the coordinate satisfy both equations. 1. 2x + 5=0 2x + y=8 Graph each equation 2. y=|x| HELP...

### Math

Perry draws two planes, K and L, as shown. Which statement is true? Plane K and plane L contain four lines because a theorem states that a line extends on both sides of a plane. Plane K and plane L intersect along a line because a postulate states that if two planes intersect...

### math

A parabola f intersect the x- axis at B and C and the y-axis at E.The axis of symmetry of the parabola has equation x=3.The line through E and C has equation g(x)=x/2-7/2. Calculate the x coordinate of B

### calculus

A parabola ,f, intersect the x axis at A and B and the y axis at C. The axis of symmetry of the parabola has the equation x=-3.The line through A and C has the equation g(x)=x+7. Determine the coordinates of A,B and C

### maths

A parabola f intersect the x-axis at B and C and the y-axis at E.The axis of symmetry of the parabola has equation x=3.The line through E and C has the equation g(x)=x÷2-7÷2 1.1 Show that the coordinates of C are (7;0).

### Calculus

Verify please and thank you~ Does the line (x-7)/3=(y+8)/6=(z+4)/5 and the point P(10,-2,1) determine a plane? Answer: Yes, it is a plane because when I substituted the point P(10,-2,1) into the equation, I got the coordinates (1,1,1) If the coordinate became to be (0,0,0) ...

### Calc Jacobian

Thanks "I know that the xy region is the line x=y y=0 and y=1- x/2)" It is helpful to rewrite the region in the x-y plane by specifying the three lines and the endpoints, i.e. the points where they intersect. If you insert these points in the formula for U and V you obtain the...

### Calculus and vectors

Verify please and thank you~ 1. Does the line (x-7)/3=(y+8)/6=(z+4)/5 and the point P(10,-2,1) determine a plane? Answer: Yes, it is a plane because when I substituted the point P(10,-2,1) into the equation, I got the coordinates (1,1,1) If the coordinate became to be (0,0,0) ...

### (act practice)

In the standard (x,y) coordinate plane, point M with coordinates (5,4) is the midpoint of AB, B has coordinates (7,3). What is the coordinate of A?

### Calculus

At what point does the normal to y=-5-1x+3x^2 at (1, -3 ) intersect the parabola a second time? Answer: Note: You should enter a cartesian coordinate. The normal line is perpendicular to the tangent line. If two lines are perpendicular their slopes are negative reciprocals -- ...

### Geometry

4.Determine which point does not lie on the graph of the line y=x-3 a. (-10, 13) b. (-10-13) c. (-8, -11) A? 8. What is the best model for a tabletop? a. plane b. line c. point d. none of these A? 40. If 2 points lie in a plane, the line containing them ______ a. intersects ...

### Math

19. Point A(4, 2) is translated according to the rule (x, y) (x + 1, y – 5) and then reflected across the y-axis. a) In which quadrant of the coordinate plane is point A located? b) What are the coordinates of translated point A’? In which quadrant of the coordinate plane ...

### geometry

I need help with my math.. Can someone please help.. In the coordinate plane point X lies on line segment MN. The coordinates for MN are (-1,3) and (7,10). If the ratio of the length of MX to the length of XN is 2:5, what is the y-coordinate of point X?

### math geometry

Please help so hard. My problem... In the coordinate plane point C lies on line segment AB. The coordinates for MN are (2,4) and (16,12). If the ratio of the length of AC to the length of CB is 3:4, what is the x-coordinate of point C?

### math

A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) The parabola has a minimum value B) The parabola has a maximum value C) The parabola does not cross the y-axis D) The parabola does not cross the x-axis E) The vertex of the parabola is at the point with ...

### Geometry

In the standard (x,y) coordinate plane, if the x-coordinate of each point on a line is 4 less than twice its y-coordinate, what is the slope of the line?

### math( geometry)

indirect proof given: plane M and N intersect; line CD is parallel to plane M; line CD is parallel to plane N; line CD and line AB are not skew prove: line CD is parallel to line AB

### math

Draw a diagram to show that there are two tangent lines to the parabola y = x2 that pass through the point (0, −25). Find the coordinates of the points where these tangent lines intersect the parabola.

### math

A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) The parabola has a minimum value B) The parabola has a maximum value C) The parabola does not cross the y-axis D) The parabola does not cross the x-axis E) The vertex of the parabola is at the point with ...

### Precalculus

This figure shows concentric circles of radii 3 and 5, respectively, centered at the origin of an xy-coordinate system. A ray from the center at an angle of t degrees to the x-axis cuts the two circles at points A and B. From A, a vertical line is drawn; and from B, a ...

### Physics

Let vector B = 8.8 m, 75 degrees counterclockwise from the vertical. a) Find the x- and y-components of vector B in the normal coordinate system (where x is a horizontal line and y is a vertical line...both intersect each other). b) Find the x- and y-components of vector B in ...

### Coordinate Geomerty

three points have the coordinates A(2,9) B(4,3) and C(2,-5). The line through C with gradient 0.5 meets the line AB produced at D. Calculate the coordinates of D.

### Calculus

Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. If the planes intersect in a line, determine a...

### Math

Solve the system by graphing. x+y=−2 y=13x+2 A. (6, 4); The image is of a 2-dimensional graph with an x-axis and a y-axis. One line is drawn passing through co-ordinates (-3,1) and (3,3). Another line is drawn from co-ordinate (-2,-4) to (6,4). B. (−3, 1); The ...

### Algebra

The vertex of a parabola represented by f(x)=x^2-4x+3 has coordinates of (2,-1). Find the coordinates of the vertex of the parabola defined by g(x)=f(x-2). Explain how you arrived to your answer. My question: Would you move the parabola represented by f(x) 2 spaces to the ...

### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### science

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### science

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is polar coordinates (r,&#...

### Calculus

find the x-coordinate of the point P on the parabola y=1-x^2 for 0<x<1 where the triangle that is enclosed by the tangent line at P and the coordinate axes has the smallest area.

### calculus

Find the x-coordinate of the point P on the parabola y=1-x^2 (0<x=<1) where the triangle enclosed by the tangent line at p and the coordinate axes has the smallest area.

### Math

1. A ferris wheel is drawn on a coordinate plane so that the first car is located at the point (30,0). what are the coordinates of the first car after a rotation of 270* about the origin. A) (30,0) B) (-30,0) C) (0,-30) D) (0,30) This doesn't make any sense, can someone help ...

### math

Quadrilateral ABCD is a square. The coordinates of point A are (3,2), coordinates of point B are (-3,2),and the coordinates of points C are (-3,-4). where on a coordinate plane would I mark the location of point D??

### Math

Okay heres the pic. There is a plane with points B,D, and E.those [oints are collinear in the plane. And also outside of the plane is points A, and C. and those points are collinear outside of the plane.thought Line AC intersect at point B of the line BDE.FOr line AC the C is ...

### math,algebra II

can someone show me examples of what is a practical application of matrices or matrix operations that can be used in a real-world situation. Simple example: Coordinate transformation. An object is located at coordinates (x,y,z) in your coordinate system, what are the ...

### algebra

In a coordinate plane, the points (2,4) and (3,-1) are on a line. Which of the following must be true? 1. The line crosses the x-axis. 2. The line passes through (0, 0). 3. The line stays above the x-axis at all times. 4. The line rises from the lower left to the upper right. ...

### Geo Hons

Okay heres the pic. There is a plane with points B,D, and E.those [oints are collinear in the plane. And also outside of the plane is points A, and C. and those points are collinear outside of the plane.thought Line AC intersect at point B of the line BDE.FOr line AC the C is ...

### Geometry

Okay heres the pic. There is a plane with points B,D, and E.those [oints are collinear in the plane. And also outside of the plane is points A, and C. and those points are collinear outside of the plane.thought Line AC intersect at point B of the line BDE.FOr line AC the C is ...

### Math- Ms. Sue? Steve? Writeacher?

Point A(4,2) is translated according to the rule (x,y)-->(x+1,y-5) and then reflected across the y axis a)In which quadrant of the coordinate plane is point A located? b) What are the coordinates of translated point A'? in which quadrant of the coordinate plane is point A' ...

### math

A tangent line is drawn to the hyerbola xy=c at a point P. 1) show that the midpoint of the line segment cut from the tangent line by the coordinate axes is P. 2) show that the triangle formed by the tangent line and the coordinate axes always has the same area, no matter ...

### Calc.

Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. If the planes intersect in a line, determine a...

### Calc.

Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. If the planes intersect in a line, determine a...

### geometry

Help!!! Line segment EF in the xy-coordinate plane has endpoints with coordinates (-4,9) and (6,4). What are two possible locations for point G so that G divides EF into two parts with lengths in a ratio of 1:4?

### math repost!!

please help, i procrastinated and now this is due tomorrow!! A tangent line is drawn to the hyerbola xy=c at a point P. 1) show that the midpoint of the line segment cut from the tangent line by the coordinate axes is P. 2) show that the triangle formed by the tangent line and...

### Algebra

The solutions to the equation f(x)=g(x) are -2 and 1.If f(x) and g(x)graphed on the same coordinate plane, where do they intersect

### Linear algebra

Let L1 be the line passing through the points Q1=(−2, 1, 1) and Q2=(−4, 4, 0) and let L2 be the line passing through the point P1=(−6, −6, 0) with direction vector →d=[9, 6, 3]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q. ...

### ALGEBRA

Find the coordinates of the midpoint for the following equation: y = -2x^2 + 20x + 1. Your answer should be in the form (x-coordinate, y-coordinate). (Hint: Find the x-coordinate by using the Midpoint Formula [-b / (2a)]. Then find the y-coordinate by plugging the x-coordinate...

### Maths - Linear Relations Simple Problem

Find the values of m for which the line with equation y=mx+2 does not intersect the parabola with equation y=(x-1)^2 + 5. I am not sure how to solve this problem. I know that both equations equal each other when it intersects but what happens if they don't intersect. Please ...

### calculus

Determine the coordinates of the point of intersection of the two perpendicular lines that intersect on the y-axis and are both tangent to the parabola given below. y = 3x2

### Calculus

Draw a diagram to show that there are two tangent lines to the parabola y=x^2 that pass through the point (0,-4). Find the coordinates of the points where these tangent lines intersect the parabola. So far I have taken the derivative and got y'=2x.. Using point slope form I ...

### geometry

One more problem I need help with. Line segment EF in the xy-coordinate plane has endpoints with coordinates (-4,9) and (6,4). What are two possible locations for point G so that G divides EF into two parts with lengths in a ratio of 1:4?

### calculus

5. Consider the circle x2 + y2 = 16 and the parabola y2 = 8x. They intersect at P and Q in the first the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersect the x-axis at S. a). The ratio...

### Linear Algebra

Last number from the sample test! A plane P passes by the coordinates: A(1,0,-7); B(-2,-1,0); C(0,0,-3) Using the equation of the line D: x= 7+12t, y= -1-6t, z= 2-2t, Find the equation of a line that's entirely part of the plane P and that is perpendicular to the line D at ...

### maths

the mid-point of the line FG is (6,10). if the coordinates of G is (8,14) find the coordinates of F. There are a number of ways to solve this but I think the simplest is to use the definiton of midpoint. We know mdpt(FG) = 1/2(F+G) where FG is the segement and F,G denote the ...

### maths

A(–4, 3), B(3, 7), C(0, –1) and D(–7, –5) are the vertices of a parallelogram on the Cartesian plane. Determine the coordinates of the point where the diagonals of ABCD intersect.

### math

A circle of area 25 pi is graphed in the coordinate plane. If its center has coordinates (8,0), which of the following points MUST lie on the circumference of the circle? a. (0,0) b. (0,5) c. (16,0) d. (3,0) e. (0,8) please answer and explain

### Precalculus

I know I posted this question already ,but I posted the wrong one.... Sets A,B and C are subsets of U. U= positive integers less than 16 A= prime numbers B= factors of 36 C= multiples of 4 (A intersect B)' INTERSECT C {?} I meant INTERSECT not union! My answer: 4,8,12

### maths

consider the line y=6x-k and the parabola y=x^2 i) for what value of k is the line y=6x-k a tangent to the parabola y=x^2 ? ii) the line y=6x-k intersects the parabola in two distinct places. what is the largest integer value that k can take ?

### math

Hi, I was working on my math homework and I was stumbling on these problems. I tried looking at the solutions but my answers were completely off. Here are the ones I'm stuck on: If vectors O(0,0,0), A(6,0,0), B(6,-sqrt(24), sqrt(12)), and C(0,-sqrt(24), sqrt(12)) form a square...

### Geometry midpoint formula

A circle on the Coordinate plane has a diameter with endpoints at (6,8) and (15,8). What are the coordinates of the center of the circle? What is the radius of the circle? Identify the coordinates of another point on the circle. Explain how you found your answer.

### Maths

If the straight line x-y=k and the circle x^2+y^2+2x-4y-1=0 intersect at A and B, then the x-coordinate of the mid-point of AB is _ ? A. 1+k B. 1-k C. (1+k)/2 D. (1-k)/2

### slope and graphing

The lines y=5/12x and y=4/3 are drawn in the coordinate plane. Find the slope of the line that bisects these lines. How? Do we find the average? Do we build isosceles triangles?

### Polygons on the coordinate plane

Draw a rectangle on a coordinate plane that has a perimeter of 16 units. Label all the vertica with they coordinate. Then find the area if he rectangle

### maths

Two points X and Y in the xy plane have coordinates (10,5) and (a,b), respectively. The midpoint of the line segment XY has coordinates (13,13). What is the value of a+b?

### Geometry

Use the Distance Formula and the x-axis of the coordinate plane. Show why the distance between two points on a number line (the x-axis) is | a – b |, where a and b are the x-coordinates of the points. How would I solve this?

### math

L is a straight line in x-y plane. its equation is in the form y-8=m(x-1) determine all points in x-y plane where line L intersects curve y=2x^2 i know that 1,8 is a point on the line. I'm not sure what points the question is looking for here. Without knowing what m is, every ...

### math

In the xy-plane, lines a and b intersect at point (5,-2), and lines b and c intersect at point (-3,3). What is the slope of line b? Express your answer as a common fraction

### maths

the equation of the circle is x^2-8x+y^2+4y+11=0 find any coordinates that intersect the line y=-x-1

### math

A(4,7) and B(-3,2) are points on a coordinate plane.Find the coordinates of a point C on the x-axis such that AC=BC .

### Math- Intesection of a plane and line

Does the line [x,y,z]=[5,-9,3]+k[1,-12,2] intersect the plane [x,y,z]=[4,-15,8]+s[1,-3,1]+t[2,3,1]? If so, how many solutions are there? ( I tried finding the normal vector, there after finding the "d" value to write in scalar equation, and once it is in scalar equation i ...

### Math

In a coordinate plane points (2,4) and (3, -1) are on a line.Which of the following must be true? A.)The two are intersecting B.)They are all above the x axis

ok, I totally did not get this question at all. Complete each statement. Assume the variable a does not equal 0. a. The graph of y=ax^2+c intersects the x-axis in two places when ______. b. The graph of y=ax^2+c does not intersect the x-axis when ______...

### Math

In a coordinate plane, Brittany labeled the coordinates for point m as (-31/2,2). Sade tells Brittany to reflect point m over the x axis to point r. What are the coordinate of point r?

### geometry

Can lines and planes intersect with each other? Yes. Consider a line perpendicular to your screen on your display you are looking at....the intersection is a point in the plane on the line.

### SAT MATH

In the xy-plane, line m passes through the origin and is perpendicular to the line 8x-3y=n, where n is a constant. If the two lines intersect at the point (r, r-2), what is the value of r?

### geometry

In the xy - plane, line l has equation y= -x. Point P lies on l and has coordinates (-2,2). If l is rotated counterclockwise 45 degrees about the origin, what will be the coordinates of the image of P under this rotation.

### Geometry

Hi, I have to use algebra to find the coordinates of the point where two lines intersect, the first line passes through the points 4,3 and 10,0 and the second line is y=6. Any ideas would be very much appreciated, many thanks

### precalculus

graph the parabola y=2x^2-6x-3. plot point on the parabola A[1,-7] and draw a line through A with an angle of inclination equal to 30 degrees. then find the equation of the line and its second point of intersection B, with the parabola

### Don't understand this Geometry question

Isosceles triangle XYZ is placed on a coordinate plane to be used for a coordinate proof. What should the coordinates of its vertices be? a. (-a,0), (0,0), (a,0) b. (0,0), (0,-a), (-a,0) c. (0,0), (0,a), (a,0) d. (0,0), (0,-a), (a,0) ??? 5 REASONS WHY SOCIAL STUDIES IS ...

### Pre-Calc

Here I am again stuck with another geometry type question. Here goes: A rectangle is inscribed between the x-axis and the parabola y=36-x^2 with one side along the x-axis. He drew the picture with the parabola at points (-6,0) (6,0) (0,6) the rectanle is drawn inside the ...

### Algebra1

Consider the point (9,5) which lies on line / in the coordinate plane. Could 9x+5y=0 represent line / ? Yes or No?

### Algebra1

Consider the point (5,7) which lies on line l in the coordinate plane. Could y=7/5x represent line l?

### Algebra1

A parabola is defined as f(x)=a(x–8)2+9, where a is a positive real number. As a increases, What happens to the x-coordinate of the parabola’s vertex?

### Math

The points P(-2,2) , Q(4,4) and R(5,2) are vertices of a Triangle. The perpendicular bisector of PQ and the line through P parallel to QR intersect at S. Find the coordinates of S.

### Calculus-Applied Optimization Problem:

Find the point on the line 6x + 3y-3 =0 which is closest to the point (3,1). Note: Your answer should be a point in the xy-plane, and as such will be of the form (x-coordinate,y-coordinate)

### maths

Find the coordinates of the points of intersection of the straight line y = 3x - 6 with the parabola y = x^2 - 6x + 8 and solve Graphically.

### Calculus

Where does the line through (1,0,1) and (3,−2,5)intersect the plane x+y+z=10? (x, y, z) =________?

### Algebra2 ( Check)

Will you please check my work for me. 1)The equation of a parabola is shown. y=1/14X^2. What are the coordinates of the focus? (0,-3.5) <---- (0,-4) (0,7) 2)The equation x2 + (y + 3)2 = 36 models the boundary on a local map for which Darren can hear his friend Tom on his ...

### Pre Cal

Let the line X-2Y=15 and the circle with equation X^2+Y^2=50 intersect at the points A and B. Algebraically find the coordinates of A and B using the information given.