Which linear function relates the total cost of renting a truck in dollars, C, to the number of miles driven, m? ) A) C= 0.50m + 150 B) C = 0.875m + 150 C) C= 0.50m + 200 D) C= 0.875m 200

Q: 1. What is the third step you must follow to draw a perpendicular line that passes through point G?…

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Q: Show that the straight line (a-b) x+(b-c)y=(c-a),(b-c)x+(c-a)y=(a-b) and (c-a)x+(a-b)y=(b-c) are…

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Q: 48. Find the value of x for which line a is parallel to line b. * C 6x + 17 4x + 23 O A. X = 7 O B.…

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Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

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

A: To construct a linesegment by copying using a compass

Q: Find the closure of a straight line in R x R_.

A: Given: Straight line in ℝ×ℝ. To find: Closure of straight line in ℝ×ℝ.

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Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

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Q: Determine whether there exists a constant c such that the line x + cy = 1: (a) has slope 4.     (b)…

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Q: A consumer has a monthly income of $100 that he wants to spend on two goods: rugs priced at $10 and…

A: Graphically, a linear function representing the relationship between an independent variable let's…

Q: Two lines that both have slopes of are parallel. O True O False

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Q: Determine whether the lines h and I, intersect, are parallel, or are skew. 1: n= 4i+3j+ (i-j+6k) 12:…

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Q: For Exercise, find the slope of the secant line pictured in red (1, 6) y = f(x), (5, 2)A -3-2-! 4 $

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Q: Imeter) Y ( meter) POINT 1 1254,72 2951,76 2 1362,50 3205,13 3 1578,94 3713,80 4 1843,68 4335,92

A: A table of data is given, and the general equation of a line is y=ax+b. Here, a is the slope, and b…

Q: Construct a line perpendicular to the line given through the point P at the right.

A: To plot the line perpendicular to the given line through the point P

Q: Find BD F C A

A: Given Data: The length of segment AC is: AC=6 The length of segment CF is: CF=4 The circle is shown…

Q: Evaluate where F(x, y) = x² i+(y² – x) j and C is the line segment from (2, 4) to (0, 4) followed by…

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Q: Which of r = 2 sec θ and r = 2 csc θ defines a horizontal line?

A: we have to tell which of r = 2 sec θ and r = 2 csc θ defines a horizontal line.

Q: 2. Work out the gradient of the line passing through the points (3, 2) and (7, 20).

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Q: Find the point of intersection of the lines r(t) = (1, 0, 0) + t(-7, 3, 0) and s(t) = (0, 1, 1) +…

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Q: Perpendicular lines have slopes whose product is -1. O True O False

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Q: Determine the midpoint of the line segment between A and B shown below: 2 -3 -2 -1 1 2 3 -1 -2 - -3…

A: It can be observed that the point A is and the point B is . According to the Midpoint formula, the…

Q: Determine the point of intersection of the lines γ1 : ¯r1(t) = ⟨3, 2, 1⟩ + t⟨1, 0, 1⟩ and γ2 :…

A: First let's suppose both line are intersecting each other so, r1 = r2 then solve for t and s.

Q: -20 -15 -10 10 15 20 What is the length of line segment EF?

A: This is the simple problem based on number system where we find the distance between two points as:…

Q: The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X…

A: The intersection of two planes is a line. The intersection of 2 lines is a point The intersection of…

Q: The linearity between two variables X and Y, in pairs, defined as X=[4,2,3,5,2,4] and…

A: Linearity x y xy x2 y2   4 6 24 16 36   2 4 8 4 16   3 6 18 9 36   5 8 40 25 64   2 5…

Q: T. Assume that lines Dear to be 13/33 are tangent. E. 62°

A: The given figure is: Find the measure of indicated arc. Notice that CD is a tangent of the circle…

Q: The earnings per share for a social media company were $5.19 in 2017 and $7.53 in 2018. Use the…

A: Given: The earnings per share for a social media company were $5.19 in 2017 and $7.53 in 2018. To…

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

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Q: Find y such that (3, y) lies on the line of slope m = 2 through ( 1, 4).

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Q: Explain why the lines below are parallel. l: (x, y, z) = (2, 3, 4) + n(1, 2, - 3) and (2: (x, y, z)…

A: l1 : x, y, z=2, 3, 4+n1, 2, -3l2 : x, y, z=3, 7, -2+r-1, -2, 3 Here, The direction ratios of l1 are…

Q: In a straight line the slope approaches zero as the line comes near the point X,Y. a. Cannot be…

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Q: In Exercises 33–34, find the distance from the point to the line. 33. (0, 0, 12); x = 4t, y =-2t, z…

A: We’ll answer the 33th question since we answer only one question at a time. Please submit a new…

Q: How is the line y = 1 converted by mapping w = e? ?

A: In this question, we convert the line y=1 by mapping w=e^z.

Q: Compute the slope of the costs O Corte are decreasing are c ecreasing

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Q: Which statement is true if ml n? A slope m = slope n B. slope m = -1 + slope n %3D C. slope m = 1+…

A: here option (B) is true because

Q: In Exercises 1-4, use the grid and a straight edge to make a rough estimate of the slope of the…

A: Part(3): It is given that each box in the graph having distance 0.2 unit. Let, ϕ be the angle made…

Q: 6. How many positions can a lightning rod erected at a point occupy with- out being vertical? How…

A: Introduction: Lightning rod is a system that intercepts the atmospheric electric discharge and…

Q: (a) Find the involutes of straight line.

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Q: Which is a subset of a line with one endpoint and extends infinitely in one direction?

A: A ray is a subset of a line that has only one endpoint and extends infinitely in one direction  If…

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: B is the midpoint of line segment AC. Find x C 5X-6 3X +4 Ox = -5 O x 2 Ox = 5 Ox = 10

A: A line segment is a finite section of a straight line. A mid-point of a line segment is a point…

Q: Prove that the equation ax² + 2hxy+by² + 2gx+2 fy+c=0 wi h²2 = ab and bg2 = af?. Also find the…

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Q: which passes through the midpoint of A and B, and is perpendicular to the line passing through A and…

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Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

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Q: is it true that The assumption of linearity is met if the relationship is curvilinear ?

A: One draws a residual scatter plot and the y values. On the vertical y axis, the y values are taken,…

Q: Find y so that CD has slope m, where: a) C is (2, – 3), D is (4, y), and m b) C is (-1, –-4), D is…

A: Slope(m) of line passing through points x1,y1 and x2,y2 is m=y2-y1x2-x1   ....1

Q: What is the distance between points F(2, 9) and G(4, 14)? Round to the nearest whole number.…

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Q: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Evaluate S, (a2 – y²)dz, where y is the…

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.