According to the United States Treasury Department, the U. S. national debt was 1.815\times 10^{13}1.815×10 13 dollars on September 30, 2015. On September 29, 2005, the national debt was 4.974\times 10^{12}4.974×10 12 dollars. Find the amount of increase in the national debt from September of 2005 to September of 2015. Write a sentence describing the increase in the national debt from 2005 to 2015 using scientific notation and using standard form.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

b, i believe, but not sure.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b