B. 16 cm
Square both 20 and 12
20x20=400
12x12=144
400-144=256
find the square root of 256
and the square root is 16
so b is 16 cm
X = 2y - 12....so sub 2y - 12 in for x in the other equation
3x + 4y = 14
3(2y - 12) + 4y = 14
6y - 36 + 4y = 14
6y + 4y = 14 + 36
10y = 50
y = 50/10
y = 5
x = 2y - 12
x = 2(5) - 12
x = 10 - 12
x = -2
solution is (-2,5) <==
Answer:
See attachment.
If altitude = 45 then
side = 2 * height (or altitude) / square root of 3
side = 2 * 45 / 1.7320508076
side = 90 / 1.7320508076
side = 51.9615242271
Step-by-step explanation:
Answer:
Step-by-step explanation:
If your function is
, that is definitely not the answer you should get after taking the derivative implicitely. Rewrite your function to simplify a bit:
Take the derivative of x terms like "normal", but taking the derivative of y with respect to x has to be offset by dy/dx. Doing that gives you:
Collect the terms with dy/dx on one side and everything else on the other side:
Now factor out the common dy/dx term, leaving this:
Now divide on the left to get dy/dx alone:
Simplify each set of fractions to get:
Bring the lower fraction up next to the top one and flip it upside down to multiply:
×
Simplifying that gives you the final result:
or you could multiply in the x on the bottom, as well. Same difference as far as the solution goes. You'd use this formula to find the slope of a function at a point by subbing in both the x and the y coordinates so it doesn't matter if you do the distribution at the very end or not. You'll still get the same value for the slope.