6. a. Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes? b. Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes? C. What will the distance between them be after 45 minutes?

Q: 14. Two planes leave the same airport travelling along straight paths that differ in direction by…

A:

Q: 13. Two automobiles leave a city at a same time and travel along straight highways that in differ in…

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Q: Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what…

A: Introduction: Velocity is a quantity that indicates how quickly and in which direction a point is…

Q: 5 1 1 4 Find the distance between the pair of points and 2'3 - - 2'3

A:

Q: 8. Two automobiles leave a city at the same time and travel along straight highways that differ in…

A: Given: Angle between directions of cars is 60°. Speed of car 1 is 45 mph. Speed of car 2 is 30 mph.…

Q: 5. Construct a copy of the line segment below. U V

A: To construct a linesegment by copying using a compass

Q: 12. What is the distance between the points K(4,1) and L(7,-3)? А. 2 В. З С. 4 D. 5

A: Distance formula

Q: The equation of the line tangnet to the graph of 24e^x at x=2?

A: Find the derivative of the given function.

Q: Suppose that between two points on a line, the rise is 4, and the run is 1. What is the slope m of…

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Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: The distance between a and b on the real line is d(a, b)=________. So the distance between -5 and 2…

A: Distance between a and b on the real line is  d(a,b) = b - a

Q: How did he get the value inside the circle? Is it possible to explain step by step 12 with…

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Q: Which equation below would be perpendicular to the line shown in the graph belov 41 3 -6 -5 -4-3 -2…

A: A straight is a function with an equation of the form ax+by=c. Every line's equation can be written…

Q: 2. What is another name for line m?

A: Here we have write another name for line m by looking at the given diagram.

Q: 4. Find an equation for the line segment between P(3, -8,0) and Q(-1, 4, 2).

A: Our aim is to find the equation of line.

Q: How far is the point (2, -3) from the line 3x - 4y +7 =0? O 5 4

A:

Q: 4. State the missing coordinates of the points below, if the points lie on the line: 8= 2.x-4y, Show…

A: The given line is 8=2x-4y

Q: 14. Write an equation of the line that is perpendicular to 3x – 4y = 9 and cont- (-4,-5).

A:

Q: 6. If, as x-- or as x- 0, the values of R(x) approach some fixed number L, then the line y = L is of…

A:

Q: How far is the line 2/11x – 10 y + 24 = 0 from the origin? O 1 O 2 О з O 4

A: Given that: Equation of line is:            211x-10y+24=0

Q: Find the midpoint of the line segment with the given endpoints: (-4, 4) and (5, -1). O (1, 2) O (1,…

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Q: 1) Write the equation of the line that is perpendicular to y = -7x+ n and goes through the point…

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Q: A small resort is situated on an island off a part of the coast of Mexico that has a perfectly…

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Q: If, as x approaches some number c, the values of |R(x)|→∞, then the line x = cis a of the graph of…

A: If, as x approaches some number c, the values of R(x)→∞, then theline x=c is a ..................of…

Q: A small resort is situated on an island off a part of the coast of Mexico that has a perfectly…

A: Let P be the shore point Let R be the resort Let S be the point where the pipe gets the water.

Q: 51. Show that the shortest distance from the point (x1, yı) to the straight line Ax + By + C=0 is Ax…

A:

Q: How far is the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the origin

A: We have to find the distance of the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the…

Q: 2. Assume that a consumer has a budget line l=p1x1+p2x2. Solve for the intercepts [isolate(x1andx2)]…

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Q: A man in a rowboat at P.5 miles from the nearest point A on a straight shore. wishes to reach to a…

A: This problem is based on maxima minima function. After getting minima function we got the value of x…

Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

Q: 3. Consider 20 points where no three or more points lie on a straight line. How many straight lines…

A: Introduction: From a set of n distinct object, r distinct object can be selected following no…

Q: The distance between a and b on the real line is d(a,b)=____________So the distance between -5 and 2…

A:

Q: 6.) A plane proceeds on a course of 335° for 3 hours at 150 mph. It then changes direction to 230°…

A: Given: A plane proceeds on a course of 335° for 3 hours at 150 mph. It then changes direction to…

Q: . The distance between (-1,3) and (11, k) is 13.

A: Solve for the value of k

Q: The distance from the point (5, 3) to the line 2x + 4y + 5 = 0 is O 2.457 O 3.801 O 4.63 O 6.037

A:

Q: Find the point on the line y =2x + 3that is closest to theorigin.

A: Given Data The equation of a line is y=2x+3   Consider the point (x,y) on the equation of line…

Q: 3. The distance between city A and city B is 38 miles; city A's population is 100,000, city B's is…

A: According to Reilly's law of retail gravitation, point of indifference is given by:

Q: Find the midpoint of the line segment whose end points are given. (8, 8) and (5, -4) .2) O (13, 4) O…

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Q: Which of the following is never used in a geometrical construction?

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Q: If c > 5, how many lines through the point (0, c) are normal 29 lines to the parabola y = x²? What…

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Q: A small house was built on an island off a perfectly straight shoreline. The point B on the…

A: The given figure is: To find the formula for the cost of laying the pipe in terms of x.

Q: 7) Determine whether the two lines = =2 and * z+2 are in parallel.

A:

Q: what point will you be indifferent between your current location and the new location?

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Q: 1.Which quadrant would ( x , y ) be located if -x > 0 and y > 0 ? 2. How many times would you need…

A: (1).   The given point (x, y) such that -x > 0  and  y > 0.

Q: How far is the point (2, -3) from the line 3x - 4y +7 =0? O 5 O 4 O 6 O 7

A:

Q: 1.) Willy is standing 30 m due north of point P. Grace is standing 60m due west of point P. What is…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: suppose that l and m are two lines. then the number of points in l intersect m is either 0, 1, or…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.