Answer:
circumference - diameter
circumference - 2 times radius
area - radius squared
Step-by-step explanation:
we know that
<u><em>The circumference of a circle is equal to</em></u>
or
where
D is the diameter and r is the radius
therefore
or
The number pi is the ratio circumference - diameter or is the ratio circumference - 2 times radius
<u><em>The area of the circle is equal to</em></u>
therefore
The number pi is the ratio Area - radius squared
Answer:
1. y = x + 3
2. y = x -6
3. y = x - 1
4. y = -2x -2
5. y = 2x - 1
6. y = x - 4
7. y = -x
8. y = x + 1
Step-by-step explanation:
I'm sorry I couldn't finish it all! I hope this helps. I've been summoned to dinner...
Answer:
See explanation and hopefully it answers your question.
Basically because the expression has a hole at x=3.
Step-by-step explanation:
Let h(x)=( x^2-k ) / ( hx-15 )
This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.
Solving for x in that equation:
Adding 15 on both sides:
hx=15
Dividing both sides by h:
x=15/h
For it be a hole, you also must have the numerator is zero at x=15/h.
x^2-k=0 at x=15/h gives:
(15/h)^2-k=0
225/h^2-k=0
k=225/h^2
So if we wanted to evaluate the following limit:
Lim x->15/h ( x^2-k ) / ( hx-15 )
Or
Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.
We were ask to evaluate
Lim x->3 ( x^2-k ) / ( hx-15 )
Comparing the two limits h=5 and k=225/h^2=225/25=9.
Step-by-step explanation:
Multiply both numbers so
25x2 - 6x + 6x - 1
25x2 - 1
Answer:
The rate of interest for compounded annually is 6.96 % .
Step-by-step explanation:
Given as :
The principal amount = Rs 4600
The time period = 5 years
The amount after 5 years = Rs 6440
Let The rate of interest = R %
<u>From compounded method</u>
Amount = Principal ×
or, Rs 6440 = Rs 4600 ×
Or, =
or, 1.4 =
Or, = 1 +
or, 1.0696 = 1 +
or, = 1.0696 - 1
Or, = 0.0696
∴ R = 0.0696 × 100
I.e R = 6.96
Hence The rate of interest for compounded annually is 6.96 % . Answer