3 ten dollar bills and 4 single ones
A=Y^6
B=7^4•n^5•m
C=y^4
D=t^4
Answer:
x₂ = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to
m =
with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)
m = , that is
= ( cross- multiply )
5(x₂ - 9) = - 60 ( divide both sides by 5 )
x₂ - 9 = - 12 ( add 9 to both sides )
x₂ = - 3
Let the shorter leg be x.
Let the hypotenuse be y.
The the longer leg is x + 7.
The perimeter is 30.
x + x + 7 + y = 30
y = 30 - 2x - 7
y = -2x + 23
The hypotenuse is -2x + 23.
Now we use the Pythagorean theorem.
a^2 + b^2 = c^2
x^2 + (x + 7)^2 = (-2x + 23)^2
x^2 + x^2 + 14x + 49 = 4x^2 - 92x + 529
2x^2 - 106x + 480 = 0
x^2 - 53x + 240 = 0
(x - 5)(x - 48) = 0
x = 5 or x = 48
Since 48 is greater than the perimeter, we discard that solution.
x is the shorter leg.
The shorter leg measures 5 units.