Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.
Givens
a = x
b = x + 4
c = 20
Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2
Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20 Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0
2x^2 + 8x - 4 = 0 Divide through by 2
x^2 + 4x - 2 = 0
Use the quadratic formula
a = 1
b = 4
c = - 2

From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6) This is an extraneous root. No line can be minus.
x1 = + 0.4495
x2 = x + 4 = 4.4495
Answer:
What action finally led to the release of the Iranian-held American hostages?
influence of Iranian citizens
payment to the Iranian government
an attack by the United States and other nations
sanctions by the United States and other nations
Step-by-step explanation:
Let's assume length of the room as y
so the width of the room = y - 5
Area
y * (y - 5) = 750
You need to multiply another number each time.
For Example:
3x2=6
6x3=18
18x4=72
72x5=360
360x6= 2,160
It's a pattern
Answer:
every 30
Step-by-step explanation:
20,50,70,100,130,160,190