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.
X would equal 10. Hope this helps!
The answer to this question is 10.6
Answer:3
b
−
2
c−
d
,
t
o
3
,
3
+
3d
−
3
b
Step-by-step explanation:
(
b
−
c
)
⋅
3
+
(
c
-d
) raise t
o 3
3
+
(
d
−
b
)
⋅
3
Write the problem as a mathematical expression.
(
b
−
c
)
⋅
3
+(
c
−
d
) raise t
o3
3+
(
d
−
b)
⋅
3
Remove parentheses.
(
b
−
c)
⋅
3
+
c
−
d
,
t
o
3
,
3
+
(
d
−
b
)
⋅
3
Simplify each term.
Apply the distributive property.
b
⋅
3
−
c
⋅
3
+
c−
d
Move 3 to the left of b
.
3
⋅
b
−
c
⋅
3
+
c
−
d
Multiply 3 by −
1 ⋅
3
b
−
3
c
+
c
−
d
Add −
3
c and c.
3
b
−
2
c
−
d
,
t
o
3
,
3
+
(
d
−
b
)
⋅
3
Simplify each term.
Apply the distributive property.
3
+
d ⋅
3
−
b ⋅
3
Move 3 to the left of d
.
3
+
3
⋅
d
−
b
⋅
3
Multiply 3 by −
1
.
3
+
3
d
−
3
b
