Simplify the following:
(3 sqrt(2) - 4)/(sqrt(3) - 2)
Multiply numerator and denominator of (3 sqrt(2) - 4)/(sqrt(3) - 2) by -1:
-(3 sqrt(2) - 4)/(2 - sqrt(3))
-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
(4 - 3 sqrt(2))/(2 - sqrt(3))
Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))
(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
Answer: (4 - 3 sqrt(2)) (sqrt(3) + 2)
Answer:
18 and 31
Step-by-step explanation:
Let the number be x and y and y be the smaller number
Given
condition 1:
difference between two numbers is 13.
Mathematical expression for this will be
x-y = 13 ( taking x as larger and y as smaller number)
=> x = 13+y (1)
________________ ____________________________
Condition 2:
twice the smaller plus three times the larger is 129
Twice the smaller is equal as 2y
three times the larger is 3x
according to question
3x+2y = 129
substituting value of x from equation 1 we have
3(13+y) +2y = 129
=> 39+3y+2y = 129
=> 39+5y = 129
=> 5y = 129 - 39 = 90
=> y = 90/5
=> y = 18
Thus, y = 18
and x = 13+y = 13+18 = 31
Therefore, two numbers are 18 and 31.
Answer:
Option D
Step-by-step explanation:
a/3 = 8/6
a × 6 = 8 × 3
6a = 24
a = 24/6
a = 4
Hence,
Option A is correct
what happen do you what to tlak
Hello There!
The answer would be "C"
For every 10 pieces of candy Simone buys, she pays $1.
By looking at the the graph, you can see that is is moving up at a constant rate each time so each time Simone buys 10 more pieces of candy, the price increases.
