Answer:
The simplified form of 
is 
Step-by-step explanation:
Given :
We have to write the simplified form of
Consider the given expression
We know 
and 
Thus,
Simplify, we have,
Thus, The simplified form of is
X-doubling periods
Y-height of bamboo
Y=ab^x
1) make a table of values
X Y
1 5
2 10
3 20
2) write equations and substitute
5=ab^1 —> a=5/b^1 —> a=5/b
10=ab^2
Substitute into second equation
10=(5/b)*b^2
10=5b^2/b
10=5b
b=2
Substitute back in
b=2
10=a*2^2
10=4a
a=5/2
End equation:
Y=5/2*2^x
<h2>
Answer:</h2>
<h3>
<em>x=45degrees</em></h3>
<h2>
Step-by-step explanation:</h2>
Let the angle to be solved be x
Let the supplement/compliment by y
x+y=90 Complimentary angles add up to 90 degrees.
x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x+y=90 Isolate x:
x=90−y Input into the other equation:
(90−y)+3y=180 Combine like terms, isolate y and its coefficients:
2y=90 Isolate y
y=45 Input into the first equation:
x+45=90 Isolate x:
x=45degrees
Answer:
steps below
Step-by-step explanation:
arc QR = 2x57 - 41 = 73
arc PQ = 360 - 73 - 41 - 137 = 109
m∠Q = (41+137) / 2 = 89°
m∠R = (109+137) / 2 = 123°
m∠S = (109+73) / 2 = 91°
check: ∠R+∠p = 123+57 = 180
∠Q+∠S = 89+91 = 180
X² - 4x + y² - 8y = 5
Complete the square:
x² - 4x + (4) + y² - 8y + (16) = 5 + (4) + (16)
→ (x - 2)² + (y - 4)² = 25
Center: (2,4)
radius: √25 = 5
