The friend is wrong - According to the Pythagorean Theorm, if c is the hypotenuse and a and b are opposite sides then c^{2} = a^{2} + b^{2}
if c=65 inches, a=16 inches and b = 63 inches, then
65^{2} =16 ^{2} + 63^{2}
right hand side of the equation = 256 + 3969 = 4225
left hand side of the equation = 65^{2}= 4225
So we see, left hand side = right hand side
Hence the theorm is proved.
Answer:
12 and 13
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given the slope along with an (x, y) coordinate with which to write the equation. You could use this info in the slope-intercept form and solve for b, or you could use this info in the point-slope form and solve it for y. Trust me when I tell you that either one will get you the correct equation. Promise! I used the point-slope form, just because. ; )
y - 2 = 3(x - 1) and
y - 2 = 3x - 3 and
y = 3x - 1 OR in standard form, we will put the x and y terms on the same side of the equals sign, separated from the constant:
-3x + y = -1. But if we get picky and do not like to lead with negatives, we could change ALL the signs to their opposites (which is the same as multiplying the whole thing by a -1) to get
3x - y = 1 which is the third choice down.
The correct answer is the second choice.
Paolo made an error when he cross multiplied the proportion. He should have multiplied the 3 and the 8 and also the 12 and the x.
The second line should be:
12x = 24
