Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

Rationalize the denominator by multiplying both numerator and denominator by √10:

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

Answer: e?
Step-by-step explanation:
A)
x^2 - 6x + c = - 5 + c
using a^2 - 2ab + b^2 = (a-b)^2
so
6x = 2 * x * 3
so
c = 9
Answer
c = 9
b)
substitute c = 9
x^2 - 6x + 9 = - 5 + 9
(x - 3)^2 = 4
Answer:
(x - 3)^2 = 4
c) solve for x
(x - 3)^2 = 4
(x - 3)^2 = 2^2
so
x - 3 = 2
x = 5
and
x - 3 = -2
x = 1
Answer: x = 1 , 3
Answer:
Mean = 10.2
Standard deviation = 4.0
Step-by-step explanation:
The average age = mean age
Mean = (16 + 10 + 5 + 7 + 13)/5
Mean = 51/5 = 10.2
What is the standard deviation will be square root of variance
(16 - 10.2) + (10 -10.2) + (5-10.2) + (7-10.2)+( 13-10.2)
5.8 + 0.2 -5.2 - 3.2 + 2.8
Square each number
33.64 + 0.04 + 27.04 + 10.24 + 7.84
Variance = 78.8/5 = 15.76
Standard deviation = 3.969 = 4.0
Answer:
A=87.92
Step-by-step explanation:
2 x pie x r
2 times 3.14 times 14
6.28 times 14
=87.92
Use the same method to solve others