Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
Answer:
Step-by-step explanation:
Subtract 7 from both sides.
Simplify.
Divide both sides by 5.
Simplify.
Decimal form:
0.2
Answer:
b = -57/10
Step-by-step explanation:
Let's first distribute everything out:
-8(1 + 5b) = -8 * 1 + (-8) * 5b = -8 - 40b
2(86 - 1) = 2 * 85 = 170
So, we have:
-8 - 40b - 170 = 50
-40b - 178 = 50
-40b = 50 + 178 = 228
b = -228/40 = -57/10
Thus, the answer is b = -57/10.
Hope this helps!
Answer:
40.96
Step-by-step explanation:
x/10.24=4
times 10.24 on both sides
10.24 times 4
x=40.96
R = ((3V)/((pi)(h^2))+h)/3
