Find the distance between the pair of points (5, 1) and (8, 5) . If necessary, express answers in simplified radical form and then round to two decimals places.

Q: Identify square root of 11 as either rational or irrational, and approximate to the tenths place.

A: Answer is irrational and the value of √11= 3.3166247903 and solution is given below..

Q: v = (6, 1, 6) w = (1,7, 10) Find the cosine of the angle between v and w. Cos O = %3D

A:

Q: Express 8/-121 as a complex number (in terms of i): 8-121 = %3D

A: The expression is given as , -8-121 Express as a complex number.

Q: 5 R BIN frotter G.

A: Given query is to find the equation of the graph.

Q: which real number values of x would make 9x+x^2 negative?

A:

Q: If a rock falls from a height of 3535 meters on​ Earth, the height H​ (in meters) after x seconds is…

A: The problem is asking us to find the height of the rock after x seconds. The height is given by the…

Q: What value of x will make the length of the box three times as big as the width?

A: see below the answer and explanation

Q: What are the solutions to the following equation. Y=x X^2+y^2=64

A: Given Two equations are y = x y2 + x2 = 64  Substituting y = x in  y2 + x2 = 64

Q: fs =6x? +6Ox t8

A:

Q: Use the discriminant to determine the number of roots. Y=3x^2+4x+4/3

A: To determine the nature of the roots of the quadratic equation of the form fx=ax2+bx+c, compute the…

Q: is pi being divided by 4

A: Let's solve.

Q: Find the  roots of the following equation x^2-2x=10

A:

Q: Solve. /3 – x - 2а + 27 — — 3

A:

Q: Find two integers that make the equation y^2 = 225 true.

A: Our Aim is to find two integers that make the equation y2=225-(i) true.

Q: Find x intercept  2x+3y=6

A: We have to find the x intercept

Q: • tan 8.

A: Consider a trigonometric function: T=tan 7π8

Q: plot (-2, 3 1/2)

A: Solution: The objective is to plot the given point.

Q: dx =? xVx? +x+2

A:

Q: Find -sqaure root of 36.

A: sqaure root of 36.

Q: Find atleast 1 root for the equation 5x5 + 10x? = 3

A: Introduction: An equation can be described mathematically as a statement that proves the equality of…

Q: x^6+10*x^5+35*x^4+315*x^3+12*x^2-140*x+2.5 then insert a table to draw the graph of the previous…

A: Given equation ; x6+10x5+35x4+315x3+12x2-140x+2.5=0

Q: In order, arrange the solutions from step#1 until final answer to evaluate the ∫sin^4 2xdx

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: Solve equation. Give the exact solution. Answer should be as a comma-separated list) 3x^2+3x = 1/9

A:

Q: Solve for 9(9x+4)-4=2x-4+79x+28

A: The equation is 99x+4-4 = 2x-4+79x+28 To determine: the solution of the equation.

Q: Calculate a · b, where a = (−pq, 3q^2 , −p) and b = (2pq, −p^2 , −3pq^2 ), where p and q are…

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.