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!
Answer:
The third one
Step-by-step explanation:
Answer:
The last one
Step-by-step explanation:
The last table represents a linear function, y = -2x + 3
Answer:
54
Step-by-step explanation:
162/3 = 54
Answer:
true
Step-by-step explanation:
the lines of the new shape are parallel to the lines of the original shape, there seems to be the same scaling factor for all sides and all "projection" lines BB' and CC' cross at A, which is also A' Ave the center of the dilation.