First, simplify the radicals
√125=√(5*5*5)=(√5*5)(√5)=5√5
so 3√125=3*5√5=15√5
and √16=4
so
15√(5)-4 is the simplified version
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F(x)= 2x²+4x-6 and g(x)=2x-2, find each function
1. (f/g) (x) = f(x)÷g(x) = (2x²+4x-6)÷(2x-2)
First factor both top and bottom:
(2x-2)(x+3)÷(2x-2) = x+3
2. f(a + 2) = plug (a+2) in anywhere there is an x in f(x)=2x²+4x-6 -->
2(a+2)^2 +4(a+2)-6 = 2(a^2+4a+4)+4a+8-6, now distribute:
2a^2+8a+8+4a+2, combine like terms
2a^2+12a+10
3. g(a/2) = plug (a/2) in anywhere there's an x in g(x)=2x-2:
2(a/2)-2 = a-2
Answer:
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Step-by-step explanation:
Correct option is B)
The circumference of the circle is 96 units.
Therefore, 2π×r=96
⇒r=
2×22
96×7
=15.27 units
Now, in the quadrilateral OLMN,∠OLM+∠LMN+∠MNO+∠NOL=360
o
Given that LM and MN are tangents to the circle, ∠OLM=∠ONM=90
o
∴∠NOL=360−90−90−60=120
o
The length of arc is given by rθ where θ is the angle made by the arc at the centre in radian.
Thus, arc length LN=15.27×
180
120π
=31.98
Answer:
Sana takes 10 minutes longer than Ali in bathroom
Step-by-step explanation:
Given:
Ali Showers, brushes teeth 20 minutes
Thus, Ali takes 20 minutes time in bathroom
Sana Takes a bath, brushes teeth ½ hour
1 hour has 60 minutes
1/2 hour has 60/2=30 minutes
Thus, Sana takes 30 minutes time in bathroom.
Time, taken more by sana than Ali = 30 minutes - 20 minutes = 10 minutes
.
Thus, Sana takes 10 minutes longer than Ali in bathroom.
