Given that the triangle is dilated by factor 3, the image will be found as follows; The object is at: A(-7,-3), B(-3,-2), C(-4,-5) when the image was enlarged the new coordinates will be: A'=3(-7,-3)=(-21,-9) B'=3(-3,-2)=(-9,-6) C'=3(-4,-5)=(-12,-15) since the image is centered at the point (-7,-6), the final point will be at: A"=[(-21+-7),(-9+-6)=(-28,-15) B''=[(-9+-7),(-6+-6)]=(-16,-12) C''=[(-12+-7),(-15+-6)]=(-19,-17) thus the coordinates of the final image are: A''(-28,-15),B''(-16,-12),C''(-19,-17)
the sign ± is not a matter only veriable and power
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
You take the first equation and make a value for y. So 6x + y =7 change it to : y = -6x + 7 Now in the second equation replace the “y” with -6x +7 this is what it means to use substitution method . Your combined equation will now be : 8x + 9(-6x + 7) =17 Now do distributive property and you get : 8x + -54x +63 =17 Now combine like terms ; -46x +63 =17 -46x =-46 x = 1 Now replace 1 for X value and we can get the value of Y . Y=1 X=1
