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select from the drop-down menus to correctly complete the proof.

to prove that 2√2 is irrational, assume the product is rational and set it equal to a/b, where b is not equal to 0: 2√2 = a/b . isolating the radical gives √2 = a/2b. the left side of the equation is (irrational, rational) . because the right side of the equation is (irrational, rational), this is a contradiction. therefore, the assumption is wrong, and the number 2√2 is (irrational, rational).

(a) what was jennifer's gross pay for the year? (b) how much did she pay in state income tax? (c) the amount in box 4 is incorrect. what dollar amount should have been entered in box 4? (d) the amount in box 6 is incorrect. what dollar amount should have been entered in box 6? (e) how much was jennifer's fica tax? (f) jennifer's taxable income was $32,104. she's filing her taxes as head of household. does she owe the government more in taxes, or will she receive a refund? how much will she owe or receive?

Quick translate "x is 12 units from 20" into an equation. what are the values of x being described? if you can answer any of my other questions that'd be great too

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2