2x - 5 < 7
2x = 12
x = 6
4x + 10 > 6
4x = - 4
x = - 1
( - 1 , 6 )
i am a mathematics teacher. if anything to ask please pm me
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
I hope this is just a maths problem coz if this is your card number I wouldn't be putting it on here for all to see.
The answer is 23 because you would substitute in the 4 for the X and multiply 5 times 4 = 20 then add 20 plus 3 and you get 23
