12) Show that D- d-del is shortest distance betueen a x- by +c2.of ; and ax+by tcz= dz?

Q: + 4x-21- 27. What are the x-intercepts of the graph of R5)--x- 20 A. 7, -3 B. -4, 5 C. -7, 3 D. 4,…

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Q: = For what values of k does the graph of f(x) a) k > 64 b) * 4 d) k < 64 x² + 16x + k x² + 7x have…

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Q: If (2x, 3) = (2, 3y). What is the value of x and y? *

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Q: A circle of radius √5 and centre at (4,q) passes through the point (2,-2). Find the values of q.

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Q: (2x) (4x+18)

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Q: Q)Suppose that one line is parallel y=13x+ 13 and passes through (15,7). Where does that line cross…

A: Given :  y=13x+ 13  compare with y = mx + c slope m = 13

Q: 15. Graph the rational function )- T- a.

A: Check asymptote, intercept,extrema then make graph

Q: 5. Let f(x) = 2x³-x² +7, find: a) ƒ(2) b) f(-5) c) f(a)

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: 16.) What is the vertex of y = | x | - 5? a. (5,0) b. (-5, 0) c. (0, 5) d. (0, -5)

A: Let's Consider a standard form for the given absolute value equation: y = |x -a| + b The equation…

Q: help

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Q: 5. What is the y-intercept of y= 2x++7x3-4x2-27x-18? В. 4 А. 2 C. -27 D. -18

A: The solution is given as

Q: 8. Write an equation for the quadratic relation that results from each transformation. a) The graph…

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Q: If the distance between the points is (x,7) and (1,15) is 10 .find the value of x

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Q: On a set of parallel lines cut by a transversal, m<2 =(7x-5) and m<6 = (x + 25) . Which value of x…

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Q: 18.) What is the vertex of y = |x - 3| + 5?

A: Given experssion is , y=x-3+5

Q: 4) Mr. ABC believes that there has been an increase in the number of tornadoes in city XYZ. The…

A: Given: Equation representing tornadoes per region since 1970 is t=4.5y+250. (a) Substitute 0 for y…

Q: Let f(x)= 56-2) (x+1 What is the domain? b find all x-intercepts OFind y-intercept if it exists?

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Q: 1. a) y = Differentiate the following and simplify: 2x3. (2x2 - 1 ) 3x²+1.

A: dxdy​=(3x2+1)630x(x3+x+1)(2x3−1)4​Explanation:

Q: Let f(x) = 2x² – 31x + 6. Find the slope of the secant line - through the points (-3.6, f(-3.6)) and…

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Q: 2. F, G, and H are on a straight line where F is 5 kilometers from H. F is also 1 kilometer from G.…

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Q: 3- The tangont line to the cutve af the point (3,h)

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Q: Find the shortest distance between two lines, one passing through the points A = (-1,5,4) and B =…

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Q: 3) "Lots of Toys" is a company that has a revenue function of R(x) = 50xe-002x dollars, where x is…

A: Given that "Lots of Toys" is a company that has a revenue function of

Q: Use a graph to find a number o such that √4x+1-3/<0.5 whenever kx-2)<ô,

A: