Tricky but not crazy hard. You could use th x/y method where you turn it into a cross multiplication fiasco.
or you can try your guesses through what ever equals 1/2 when you add one to the denominator. the answer you are looking for is 2/3
2/3 + 1 for the numerator = 1.
2/3 + 1 for the denominator = 1/2.
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!
The first two negatives cancel out and you're left with positive 4. Now go inside the square root and do the exponent. -4*-4 = 16. Then do the -4*3*1 = -12. Do 16-12 = 4. now the square root of 4 = 2. at the dominator is 2*3 = 6. right now they problem should look like 4+- 2/ 6. from there you split the problem in two. so you have 4+2/6 & 4-2/6 then you solve both problems.
6/6 2/6
1 1/3
1 & 1/3 are your answers. I hope this helped!
The acceleration due to gravity on earth is g = 32.174 ft/s².
Therefore on Mars,
g = (2/3)*32.174 = 21.45 ft/s²
When an object falls from rest over a distance h, the final velocity, v, obeys the equation
v² = 2gh
or
v = √(2gh)
Therefore, given h = 15 ft, the impact velocity on Mars is
v = √(2*21.45*15) = 25.367 ft/s
The closest given answer is 25.3 ft/s
Answer: B) 25.3 ft/s
Well I’m getting 574.5 for the first one and not getting the same for any of them.
