Draw the given optimization problem and solve. Find the area of the largest rectangle (in units) that fits into the triangle with sides formed by the lines x = 0, y = 0 and 7.5 × units?

Q: Use the side-splitter theorem to solve for x in the triangle below. 11 4 16

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Q: The swings in your local park are very popular among the children. Each swing has a rope of 10-foot…

A: Given:  The swings in your local park are very popular among the children. Each swing has a rope of…

Q: Without using a calculator, find all the solutions of csc(t) - 2 where - T <t<T.

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Q: B- Find the minimum root of the following equation (use Newton- Raphson method): 2x3 – 7x – 2 = 0

A: See the details solution in below

Q: Find a,b, and c, so that the graph of the quadratic equation y=ax^2 +bx +c passes through (-3,32),…

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Q: Use optimization techniques to answer the question. Find the area of the largest rectangle that fits…

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Q: Solve-4-3/x+2 = - 19 for z. Write DNE if the answer does not exist. %3D

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Q: If y satisfies the given conditions, find y(x) for the given value of x. y ' (x) = 5/square root of…

A: We have to find

Q: The graph of y = f(x) is given. The solutions of f(x) = 0 are: %3D 3 2 4 T-6

A: The ghaph of y=f(x) is given in the figure.

Q: 9) 2tan?x + 7tanx – 15 = 0

A: we have to find solution

Q: и" + 7u 3D 0

A: Given differential equation u''+7u=0we have to find general solution

Q: x+ 6 C D E Find the length of segment AB. 3x- 8

A: Circle property

Q: the vertex of y=1/2x2 + 2x

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Q: 3. Find the values of b and c so f(x)=-8x² + bx+c has vertex (2, -7).

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. Which of the following is the maximum value of the equation y = -x + 2x + 5? 5 2.

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Q: Find the values that satisify the given equations: a) 16x2-9 0. x2 +4x-12

A: Solution of Equation: An equation is a mathematical statement formed by placing an equal sign…

Q: Draw the graphs of the equations x = 3, x = 5, and 2x-y - 4 = 0. Also find the area of the…

A: Given equations are,

Q: Solve the given LDE using the method of undetermined coefficients. (D2-2D+5)y = excosx

A: Given that, The differential equation is following, (D2 - 2D + 5)y = excosx We have to solve this…

Q: How many solutions does the following quadratic function have? f (x) = 2x2 + 7x + 3 %3D

A: Explanation of the answer is as follows

Q: The area of a square is represented by x^2 - 10x + 25. Discuss how to find the length of its side…

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Q: Perimeter = 66 %3D X + 5 Зx-1 4x - 2 Find the length of the shortest side.

A: Given :  Perimeter = 66  and three sides x+5, 3x-1 ,4x-2

Q: Figure ABCDE is similar to Figure FGHIJ. Solve for x.

A: Given figures are : Given, ABCDE and FGHIJ are similar.

Q: (a) Show that the equation x6 – 5x – 5 = 0 has at least one solution on the interval [-1, 0).

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Q: If FGHI is a square, solve for x. (7x + 3)- I H. I

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Q: Help with this?

A: Take out -2 common from the x2  term and then complete the square

Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q?…

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Q: Point K is between points J and L. If JK = x2 - 4x, KL = 3x - 2, and JL = 28, write and solve an…

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Q: A church window consisting of a rectangle topped by a semicircle is to have perimeter p . Find the…

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Q: Which is an equation with a degree of 4, zeros located at (4, 0) and (3, 0) and a y-intercept…

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Q: Suppose (P, Q) is the point on the graph of y=/x closest to (1, 0). What is the value of P+ Q?…

A: To solve the following problem of finding the closest point to (0,1)

Q: What is the vertex for this equation? f (x) = – (x + 3)² + 1 %3D

A: The given equation f(x)=-(x+3)2+1

Q: Use a graphing calculator or online application to find the solution to 3- = x° +a to the nearest…

A: We have 3-x= x3+x⇒3-x-x3-x=0To plot the function in a graphing calculatorLets assumey=3-x-x3-xWe…

Q: The model H described by H=2.75x +71.48 can be used to predict the height, in centimeters, of a…

A: Given data:     The given expression for the height of the woman is: H=2.75x+71.48. The length of…

Q: Graph the following quadratic equations. 4. y=x2 - 6x + 1 Axis of Symmetry: Vertex: y

A: Given: The vertex of an up-down facing parabola of the form y=ax2+bx+c is xv=-b2aHere, a=1, b=-6,…

Q: Find the vertex of the Quadratic y = – + O The correct answer isn't listed ㅇ (금, 13 100 5 107) 4' 32…

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Q: 3. AB and CD intersect at point E. If mLAEC = 2x - 6 and mLBED = 6x -50, find the value of x.

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Q: 2. Without solving them, find the point of intersection of L, and L2.

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Q: Tesq Using the Quadratic function with the given vertex and extra data point. erg tomoA 2alggs 00SE…

A: Here given graph of the parabola and its vertex is (-3,9) and passes through the point (6,-9)

Q: Part a: is the correct equation set up? (8x-34)° (5x + 2) F O 8x-34+5x+2%3D90 O 8x-34+5x+23D180…

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Q: Consider the equation x8 +0.1 = x, which range could be used to solve the equation using Bisection…

A: Here determine the range of the equation x8 + 0.1 = x, by using the Bisection method.   Let the…

Q: Make a real life problem and solve it using the george polya's step in solving it

A: George polya's steps is an algorithm which consist four parts to solve a problem 1)Understand the…

Q: I don't understand how to solve for a vertex.  Ex) Complete the square and determine the vertex for…

A: Given,

Q: The frame for a kite is to be made from six pieces of wood. The four exterior pieces have been cut…

A: The length of the sides AD=AB=aThe length of the sides BC DC b  The length of the diagonal BD is…

Q: 3Quiz 1.pdf (1 page) QSearch TerTou: Dace: eometry A nswer for full-credit. 2) Solve for x in the…

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Q: The picture below shows a kite and its diagonals. Solve for x.

A: labelling given figure,

Q: AJKL AGKH Solve for the variable. x = %3D K 6. H. 15

A: to find:- GH = x= ?

Q: Find the quadratic function y = a x 2 + b x + cwhose graph passes through the following three…

A: Consider the given function y=ax2+bx+c

Q: Solve this equation for x using Goal Seek 120 = 12(1.14)* %3D

A: