Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
Answer:
The ordered pair that satisfies the equation is (7, -1)
Step-by-step explanation:
In order to find this, we can solve by subtracting. Start by stacking the two equations on top of one another and subtracting like terms.
3x + 3y = 18
(-) 2x + 3y = 11
--------------------
x = 7
Now that we have the value for x, we can plug in to either equation to find y.
2x + 3y = 11
2(7) + 3y = 11
14 + 3y = 11
3y = -3
y = -1
Answer:
Step-by-step explanation:
1/3 is the fraction form of 33.3% or 0.333
Answer:
-3/7, 1/4, 1/2
Step-by-step explanation:
The larger the denominator the smaller the fraction.
