Answer:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be <em>x </em>and <em>y</em>, where <em>y</em> is the larger of the two numbers.
Since <em>y</em> is the larger number, it is one more than the smaller number. So:

When negative two times the smaller is added to the square of the larger, the result is 33. In other words:

Substitute:

Solve for <em>x</em>. Square:

Simplify:

Subtract one from both sides:

And take the square root of both sides:

Since <em>y</em> is positive, we can ignore the negative case. So, the smaller number is:

And the larger number is:

Answer:
AC = 20
Step-by-step explanation:
C is the midpoint of BD.
That means that BC = CD
BC = x + 4
CD = 3x - 10
x + 4 = 3x - 10 Subtract x from both sides
4 = 3x - x - 10 Combine
4 = 2x - 10 Add 10 to both sides
4 + 10 = 2x - 10 + 10 Combine
14 = 2x Divide by 2
14/2 = 2x/2 Combine
7 = x
AC = AB + BC
AC = 2x - 5 + x + 4
AC = 3x - 1
AC = 3*7 - 1
AC = 21 - 1
AC = 20
1 ft = 12 inches
2 ft = 24 inches
24 inches + 3 inches = 27 inches
Answer:
$37,449
Step-by-step explanation:
<u>First convert 5% into a decimal</u>
.05
<u>Multiply the decimal by Alice's salary</u>
$39,420(.05)=1,971
<u>Now we subtract that answer from her salary this year</u>
$39,420-1,971=$37,449
<h3><u>
Alice's salary last year was $37,449</u></h3>