about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.
5, 8, 13 are no dice, namely 5² + 8² ≠ 13
25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²
however, 5,12 and 13 are indeed a pythagorean triple
also is 39, 80, 89.
when looking for a pythagorean triple, recall that c² = a² + b².
so the longest leg is the sum of the square of the small ones.
so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.
True since the dot product is defined as a.b=abcos(x)
since they are perpendicular x=90 cos(90)=0
hence a.b=0
Answer:
I believe the answer is $936.64
Step-by-step explanation:
I hope this helps!
A- She made $112.9 total because A= 80+0.14x / x is 235 because thats the amount of customers
B- Take 80 from 122 is 42 - so 42÷ 0.14 is 300 customers.
C- A = 60 + .22x
D- She'd have to serve 250 customers.
let me know if I'm wrong
That perpendicular line will have slope , negative reciprocal to the slope of this line:
x +9y - 2 = 0 and its slop is - 1/9 { 9y = - x - 2 → y = (-1/9 )x - 2/9 }
So the slope of the perpendicular line will be ? 9
There fore the equation of the perpendicular line : y = 9x + b
“b” to be found by using other conditions
x intercept for this line ( put y = 0 ): -b/9
x intercept for 2x - 9y + 27 = 0 ( put y = 0) : - 27/2
Just equate the two: -b/9 = -27/2 → b = 243/2
y = 9x + 243/2