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:
Step-by-step explanation:
y=x-3 is basically the graph with the points (0,-3) (3,0) and a straight line between them continuing on in both directions. Jut figure out the x and y intercept, or you could find any two points by setting x equal to any number.
i think its twenty hours.....but dont take my word on it im not 100% on it
<span>In
the given situation, a jewelry maker has the following:
=> 24 jade beads
=> 30 teak beads
Now, how many necklace can a jewelry maker make with this number of beads.
=> 24 + 30 = 54
=> (8 x 3) + (10 x 3) = 54
=> (8 + 10) x 3 = 54
=> 18 x 3 = 54
=> 54 = 54
Thus, the number of necklace is 3 with 8 jade and 10 teak beads in it.
</span>
Answer:
<h2>
Emily: 72 marbles</h2><h2>
Asif: 8 marbles</h2>
<em>Step-by-step explanation:</em>
first lets find in how many shares is the total amount of marbles divided into:
7+1=8
now, lets find how many marbles are in each share:
64/8=8
now that we know that each share of marbles contains 8 marbles, we can find how many each child got:
Emily got 7 shares: 8*7= 72 marbles
Asif got 1 share: 8*1= 8 marbles
Hence,
<h3><em>Emily got 72 marbles, while Asif got 8 marbles</em></h3>