8 The circle C has equation x' + y -18x - 6y + 45 = 0 a. Find the radius of C and the coordinates of its centre P. b. Show that the line y = 2x is a tangent to C and find the coordinates of its point of contactQ. c. Show that the tangent to C at the point R(6, 9) has equation x- 2y +12 = 0 d. Given that the tangents to C at Q and R meet at S show that QS = V5. %3D

Q: L-1 (4s² – 8s)

A: To find the above inverse Laplace transformation we shall use the convolution theorem of Laplace…

Q: 2. Simplify 27x6 64 2/3

A: We will simplify the given question in the following step.

Q: m15 dm + m-2 m - 4 up-

A: The given integral is ∫m+5m-2 dm +∫m2m-4 dm. Evaluate as follows.

Q: 28 = 4 + m 7 8 90

A: We have to find the value of m from given condition

Q: There is a pie. One half of the pie is already eaten. Another eighth of the pie is eaten. How much…

A: Least common factor(LCM): - In arithmetic, the smallest amount of the whole number is usually…

Q: 6 ounces of a given supplement has 45 units of vitamin C.  How many units of vitamin C does 8 ounces…

A: Let 8 ounces of this supplement contain x units of vitamin C. Given that 6 ounces of the supplement…

Q: A: ſe2Lnx dx

A: Given: ∫e2lnxdx Simplify the expression. ∫e2lnxdx=∫x2dx

Q: A nurse has work 3 and 1/2 hours of a 12 hour shift. How many hours does she have left? Write in…

A: A nurse has work 3 and 1/2 hours of a 12 hour shift

Q: A zookeeper records how many scoops of peanuts she feeds the elephants for several days. Day Monday…

A: Given: To Find:  To determine the number of scoops of peanuts that the zookeeper fed the elephants…

Q: 4-÷2 3.

A: The given expression is

Q: 263 increased by the product of 325 and a is the same as 273

A: Given, 263 increased by product of 325 and a is same as 273   to find 'a', reverse the process;…

Q: Find the sum of coefficients of 2х - Зу) 12 O1 O3 O5 07

A:

Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

Q: 2 x 100

A: 2×100=200

Q: 2x47

A:

Q: 11 D 78

A:

Q: 3. Theodore has 6 gallons of milk. He uses 1/2 of it to make hot chocolate. Then, he uses 2/3 of the…

A:

Q: 2c dc Te4lnc + 4

A:

Q: 1 L-1[ 4s² – 8s)

A: we have to find out

Q: ( 144 + 6 x 8 ) ÷ 3

A: Given : (144+6×8)÷3 using BODMAS(B - Brackets, O - Order of powers or roots, D - Division, M -…

Q: 1. For what values of a does the function f have a local (relative) maximum on (0,8)? Answer…

A: 1. For x= 3, the function  f(x) has a local maximum in the interval (0,8) 2. For x=2  , the function…

Q: I 4х6 dx

A:

Q: Find the least common denominator 1/2 and 3/4?

A: Introduction: The common multiple of an integer are the set of all those numbers divisible by that…

Q: 60° 7. Find the value of y. 9/3 y A 3/2 C 6. 9.

A:

Q: 24° X 8

A: This is a problem related to trigonometric identity. Based on the general formula and concept we…

Q: Evaluate: L7 3sin13 edx 512 1001 1024 1001 O 1024 1001 512 1001

A: Solution of given question is written in below steps.

Q: ydy (1+ у)*

A: We have to find the integral.

Q: 34×65gt

A: Given:- the given expression is, 34×65 gt Assume the value of X is, Xgt=34 Assume the value of Y is,…

Q: onn -||-|

A:

Q: 0.6 T² 9 - 25x² dx

A: The given integral is x2/sqrt(9-25x2), limit from 0 to 0.6.

Q: 14n 2 ___ 5 = 33n

A:

Q: A pitcher of juice holds 6 cups. How many (2)/(3)-cup servings of juice are in the pitcher?

A: We have given that A pitcher of juice holds 6 cups We have to find how many (2/3) -cup servings of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.