Complete the two-column proof. given: x/5 + 9 = 11 prove: x = 10 x/5 + 9 = 11 x/5 = 2 x = 10 a) a. given b. subtraction property of equality c. division property of equality b) a. given b. subtraction property of equality c. multiplication property of equality c) a. given b. addition property of equality c. multiplication property of equality d) a. given b. addition property of equality c. division property of equality

1) Given equation: x/5 + 9 = 11

2) Subtract from both sides of the equation 9 (use Subtraction Property of Equality):

x/5+9-9=11-9,

x/5=2.

3) Unknown variable is dividend, 5 is divisor and 2 is quotient. To find unknown dividend you should find the product of divisor and quotient or in another words use the Multiplication Property of Equality:

x=5·2,

x=10.

These three consecutive steps show you that correct choice is B.

correct choice is B.

y -5 = (-1/4)(x + 8)

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.