short leg: x
long leg: 5x + 19
hypotenuse: 5x + 20
(short leg)² + (long leg)² = hypotenuse
(x)² + (5x + 19)² = (5x + 20)²
x² + 25x² + 190x + 361 = 25x² + 200x + 400
x² - 10x - 39 = 0 <em>subtracted 25x², 200x, and 400 from both sides</em>
(x - 13)(x + 3) = 0
x - 13 = 0 , x + 3 = 0
x = 13 x = -3 <em>length cannot be negative so disregard -3</em>
long leg: 5x + 19 = 5(13) + 19 = 65 + 19 = 84
hypotenuse: 5x + 20 = 5(13) + 20 = 65 + 20 = 85
Answer: short leg = 13, long leg = 84, hypotenuse = 85
Answer:
The change in price is $0
Step-by-step explanation:
dropped $3 means "-3", increased $6 means "+6"
the price dropped twice so 2(-3) and increased once by 6
so, 2(-3) + 6 = 0
Answer:
volume = 76 ft³
Step-by-step explanation:
(6 x 3 x 2) + (5 x 4 x 2) = 36 + 40 = 76 ft³
$4.50 x 0.30 = $1.35
$4.50 - $1.35= $3.15
The price with the coupon is $3.15
Answer:
x=10 5x=50 2x=20
Step-by-step explanation:
5x+2x+110=180
180-110=70
7x=70
x=10
5*10=50
2*10=20