Find the distance between (4, -5) and (-3,-5)

Q: Determine whether the graph of the quadratic function opens upward or downward. f(x) = 2x² – 3x -…

A: Given eqution y=2x2-3x

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below and…

A: Given matrix are A=-42-31 , P=-1-2-1-3 and D=-200-1

Q: Consider the three equations: x - 2y = -1,3x4z = -1 and 2x +2y+z=2. Write these in the form of Ax =…

A: Given equations x - 2y = -1 3x - 4z = -12x + 2y + z = 2

Q: 2 x² + 12x + y² - 6y +44 = 0 y2 - -

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Q: The nut shack sells hazelnuts for $7.80 per pound and peanuts for $5 per pound how much of each type…

A: let the nut shack sells    x pounds     hazelnuts    and  y pounds of peanuts

Q: 9. Is the following set of vectors a basis for the subspace they span? If not, find a basis for this…

A: To solve the following problem and find basis for the subspace

Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (6, 4, 3), (3, 2, 6)}…

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Q: One side of a square is increased by 6 cm, and the adjacent side is increased by 3 cm. If the area…

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Q: P=2L+2W, Let Perimeter = 60. Make a table that finds the area of a rectangle that has a perimeter of…

A: We need to find maximum value.

Q: In the matrix 0.12 0.11 0.27 0.26 0.18 0.1 0.62 x 0.63 What should be the value of x so that P is a…

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Q: If 18 is subtracted from twice the square of an integer, the result is equal to nine times integer…

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Q: Solve each oblique triangle. Round to troo decimal places. a=5.47,b=6.14,c=5.14.

A: Need to solve the triangle.

Q: each eigenspace. A = 2 2 1 1 31 122 1 = 1 2 2 0 - 1 1 -2 0 500 010 001 1 1 - 00 8 -|+ 1 1 4 1 4 1 1…

A: To solve the following problem

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: How much must be invested today at 7% compounded monthly to have $3,000,000 in 20 years?

A: According to question,Given data,Amount = 3,000,000,Time = 20 years,Rate of interest = 7%,Componded…

Q: Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: Find the slope of the line that passes through (1, 1) and (9, 6). Simplify your answer and write it…

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Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below, and…

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Q: rectangle has an area of 126cm^2 and a perimeter of 50cm. What are its dimensions? It’s length is?…

A: let  length of rectangle be l cm   and width be  w cm then we have to find dimensions of rectangle…

Q: lf T : R³ → R³ is a linear transformation such that then T (D) *(6) - B· ·(D)-A· ^(8) - A (8)-4). T…

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Q: Perform the following computation using your calculator: (report your answer to 4 significant digits…

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Q: 6x-1 3x +4 3x-1

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Q: 3 Solve the equation. 615x.6³x = 36 ...

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Q: Sketch a graph of f(x) = 8 7 6 -0.5x6 - 1 -x+4 if if if x > 3 x ≤ - 4 -4 < x≤ 3

A: NOTE: Refresh your page if you can't see any equations. .

Q: . Given f(x) = 2-3x - 5, find f-¹(x).

A: Given query is to find the inverse function.

Q: 5) During the November 2021 election, the ratio in Greenfield, Mass of voters to the town population…

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Q: 1. Use the Laws of Logarithms to expand the expression. (a) log(x²) (b) in (√3) (c) log 3 x + 2 x(x²…

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Q: For the geometric sequence, What is the common ratio? What is the fifth term? What is the nth term?…

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Q: The average walking speed R of a person living in a city of population P in thousands is modeled by…

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Q: Function Composition Application The number of bacteria in a refrigerated food product is given by…

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Q: Q3. Solve the following set of equations using Cramer's rule: x + 2y + 3z = -5 -x-3y +z = -14 2x + y…

A: Solve the following

Q: 3) Write the equation of the transformed function in vertex form. Vertex form f(x) = s O 5

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Q: Given that logk X = 3, log Y = -1, and log Z = 2, evaluate log/ (XY).

A: We know, log(ab)=log(a)+log(b) log(a/b)=log(a)-log(b) log(ab)=blog(a)

Q: Consider the quadratic equation −3x² + 5x − 2 = 0 . Which of the following statements are true?…

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Q: Surface Area of Sphere: Consider a sphere having a radius of 4 centimeters. To calculate the surface…

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Q: Compute ||w| using w = 6 2 -4 ||w|| = (Type an exact answer, using radicals as needed.)

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Q: II. Find the particular solution of y" +5y' + 4y = 0 with initial conditions y(0)=1 and y'(0) = -3…

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Q: Graph the piece-wise function: f(x) = S[x]. 2-x -1 if -3 ≤x≤0 if 0<x<3

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Q: (a) Write a function f (x) based on the given parent function and transformations in the given…

A: We need to find transformed function and domain.

Q: Let a be a complex root of x³ + 2x + 6. Find the inverse of a² + 2a + 1 in the form d + ba + ca², d,…

A: We have to find the inverse in the given form.

Q: 1993÷19

A: Given query is to perform division

Q: Determine the number and type of solutions for the equation 22²-10z+12=0 OOne repeated…

A: To determine the number and type of solutions

Q: Find a unit vector in the direction of the given vector. 72 - 320 A unit vector in the direction of…

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Q: 2 Compute the orthogonal projection of 4 The orthogonal projection is (Simplify your answer.) onto…

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Q: Find the general solution of y" + 4y = g for: (a) g = 1² + e²t " (b) g = t² + sin 2t, (c) g = sec…

A: As per the instruction, I will be answering only the first question. Given: For (a), So, the…

Q: c) 4* = 2x+5 4x =√(2²)x+5

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Q: Determine the positive x solution for the following equation. x³ = 1,000,000

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Q: Find the eigenvalues of the matrix. 0 0 0 0 0 -4 1 0 -7 The eigenvalue(s) of the matrix is/are (Use…

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Q: Let y = 8 B 9 and u = 6 이 Compute the distance from y to the line through u and the origin. 8 The…

A: Here we want to find the distance between a line and a point.

Q: For each of the following statement: • Identify the statement’s structure by transforming it into a…

A: We have to prove the given statements.