You and a friend are driving boats on the same lake. Your path can be modeled by the equation y = -x? – 4x – 1, and your friend's path can be modeled by the equation y = 2x + 8. Do your path's cross each other? If so, what are the coordinates of the point(s) where the paths meet?

Q: fter 4 minutes of reading, Aaron was on page 14 of his book. After 8 minutes he wa

A: detailed solution is given below

Q: Would the answer not be y=-5x-37? what would be the steps to work through this problem?

A: It is given that the line passes through the point (­6,­7) and is parallel to the line

Q: Write an equation in general form for the line passing through(-12, -1) and perpendicular to the…

A:

Q: Write the equation in slope-intercept form if the line that passes through (-1,11) and is parallel…

A:

Q: A student has 63 coins worth a total of $7.95. Each coin is either a nickel (five cents) or a…

A:

Q: The phone company Ringular has a monthly plan where a customer pays a flat monthly fee, and then a…

A: Let x denotes the number of monthly minutes used and y denotes the total monthly cost of the plan in…

Q: Write an equation in slope-intercept form for the line perpendicular to  y=-x-4 that passes through…

A: We have to find the equation of a line perpendicular to the line y = -x - 4 and passes through the…

Q: The pre image in red has been transformed to the image in green. Write the equation of both images.

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.