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:
They are all positive because you must go right.
They are all negative because you must go down.
Step-by-step explanation:
Example. (1,-4)
You go over one.
Down 4
Hey there! :D
Use the distributive property.
a(b+c)= ab+ac
6(9x+2)+2x
54x+12+2x
56x+ 12 <== equivalent expression
I hope this helps!
~kaikers
Answer:
B. s = 24t
Step-by-step explanation:
Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my
m = rate of change
✔️Find the rate of change:
Rate of change using two given pairs, (0.5, 12) and (2.5, 60),
Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24
✔️Substitute m = 24 into s = mt
s = 24t
