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A circle with center C has equation x^2 + y^2 + 8x - 12y = 12

Circle equation = (x - a) 2 + (y - b) 2 = r 2 Where Centre coordinates (a, b) and radius 'r'Therefore x 2 + y 2 + 8x - 12y = 12 is to be rewritten in this formComplete the square to find a and bThis gives(x+...
HK
Answered by Henry K. • Maths tutor
9726 Views

Expand and simplify (x − 4)(2x + 3y)^2

Rewrite (x − 4)(2x + 3y) 2 as (x - 4)(2x + 3y)(2x + 3y) Multiply out the first two brackets to give -(2x 2 + 3xy - 8x 2 - 12y)(2x + 3y) Multiply out the remaining brackets4x 3 + 6x 2 y - 16x 2 - 24xy + 24xy ...
HK
Answered by Henry K. • Maths tutor
16737 Views

Caesaris uxor maritum suum multis cum precibus oravit ne in senatum eo die iniret. ille, tamen, cum timeret ne ignavus haberetur, consilium eius neglegere constituit. domo igitur egressus, Curiam intravit ubi a senatorum multitudine statim circumventus es

Translation: The wife of Caesar begged her husband with many prayers not to go into the senate on this day. That man however, since he feared that he would appear cowardly, decided to neglect the advice of h...
CK
Answered by Charli K. • Latin tutor
3263 Views

Find the values of x and y when 3x+4y=18 and 4x+2y=14

Label equations: (a) 3x+4y=18(b) 4x+2y=14We need to be able to cancel out either the x's or the y's. The simplest choice is to double (b) so that we can cancel out the y's.2 x (b) : 8x+4y=28 (Give this a new...
RE
Answered by Rosie E. • Maths tutor
6503 Views

Solve the simultaneous equations 3x + 2y = 12 and 10y = 7x + 16

First we need to rearrange both equations into the form ax + by = c (where a, b and c are the integers). We can label these 1. and 2.We then have:3x + 2y = 12 1.7x -10y = -16 2.In order to find the x value, ...
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Answered by Anjali A. • Maths tutor
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