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)
A²+b²=c²
64+b²=196
b²=132
b=11.48912529
Answer:
2.25c + 1.75p ≤ 28
1.25c + 2.125p ≤ 30
Step-by-step explanation:
Write a system of two inequalities to model loaves of bread and
cake that can be baked.
let
number of cornbread loaves = c
number of poppy-seed blueberry Cake loaves = p
corn bread
cups of flour = 2 1/4 = 2.25
teaspoon of baking soda = 1 1/4 = 1.25
One loaf of poppy-seed blueberry cake
cups of flour = 1 3/4 = 1.75
teaspoons of baking soda = 2 1/8 = 2.125
The bakery has 28 cups of flour and 30 teaspoons of baking soda in stock.
Quantity of flour to use
c(2.25) + p(1.75)
Quantity of baking soda to use
c(1.25) + p(2.125)
The inequality is
c(2.25) + p(1.75) ≤ 28
c(1.25) + p(2.125) ≤ 30
Alternatively,
2.25c + 1.75p ≤ 28
1.25c + 2.125p ≤ 30
I think it’s A. Reflection means opposite.
Given that,
Charge q₁ = -0.004 C
Charge q₂ = -0.003 C
Distance between charges, d = 3 m
To find,
The electrostatic force between charges.
Solution,
The formula for the electrostatic force is given by :
So, 12000 N of electrostatic force is produced.
