Answer: y=-3x+7
Step-by-step explanation: The slope of a line that is perpendicular will always be the opposite ( change positive to negative) and the inverse. Since 1/3 is the slope we would change it to negative (-1/3) and flip it. The slope of the new line is -3. Your new equation is y=-3x+b. Now, plug in 4 for x and -5 for y. -5=-3(4)+b. B=7.
I am pretty sure the approximate volume is 22 units.
Some fractions equivalent to 8/3 are 16/6, 24/9, and 32/12.
Step-by-step explanation:
By Pythagoras' Theorem,
we have x² + (x + 2)² = (x + 4)².
=> 2x² + 4x + 4 = x² + 8x + 16
=> x² - 4x - 12 = 0
(The constants are a = -4, b = -12)
=> (x - 6)(x + 2) = 0
=> x = 6 or x = -2
The value x = -2 is rejected as side lengths cannot be negative.
Hence we have x = 6.
=> AB = 6cm, BC = 8cm, AC = 10cm.
P.S. What you see above is the full solution. You just need to type x² - 4x - 12 = 0 in the blank.
Reverse the numbers in the table to get:
(52,20) (67.5,25) and (64,30)
The answer would be (52,20)
