Answer:√
6
cannot be simplified further because it has no perfect squares in it. However, we can evaluate it with a calculator and round to get
√
6
≈
2.45
Hope this helps!
Step-by-step explanation:
A and b are legs
a^2+b^2=c^2
lets say
a>b
so
a=13+3b
c=14+3b
a^2+b^2=c^2
(13+3b)^2+b^2=(14+3b)^2
9b^2+78b+169+b^2=9b^2+84b+196
10b^2+78b+169=9b^2+84b+196
minus 9b^2 both sides
b^2+78b+169=84b+196
minus 84b both sides
b^2-6b+169=196
minus 196 both sides
b^2-6b-27=0
factor
(b+3)(b-9)=0
set to zero
b+3=0
b=-3, false, dimentions cannot be negative
b-9=0
b=9
shorter leg is 9
a=13+3b
a=13+3(9)
a=13+27
a=40
c=14+3b
c=14+27
c=41
side legnths are
9in, 40in, 41in
The value of x is 5. Angle one and four are vertical. You can do this by writing 7x = 3x + 20. Isolate the variable by moving 3x to the other side. If you do this, 3x becomes negative, and you end up with 7x-3x = 20 --> 4x = 20.
x=5.
Answer: See below
Explanation:
(2x + 2y)(x - y) + (2x - 2y)(x+y)
= 2(x+y)(x-y) + 2(x-y)(x+y)
= 2(x^2 - y^2) + 2(x^2 - y^2)
= (2 + 2)(x^2 - y^2) (combine like terms)
= 4(x^2 - y^2)
