Set up two equations.
s + 12 = l , s + l = 74 (these equations represent the problem)
s + (s + 12) = 74 plug in "l" to the second equation.
2s + 12 = 74 combine like terms.
2s + 12 - 12 = 74 - 12 subtract to isolate the variable
2/2s = 62/2 divide to isolate the variable.
s = 31. This means the smaller number is 31.
31 + 12 = 43. since the larger number is 12 more than the smaller, add 12.
l = 43 the larger number has a value of 43.
small number = 31
larger number = 43
hope this helps! :D
Answer:
2
Step-by-step explanation:
Linear equation form: y = mx + b
(where m is the slope and b is the y-intercept)
The rate of change for a line is the slope.
Function 1: y = 6
⇒ the slope is zero so the rate of change is zero
Function 2: y = 2x + 7
⇒ the slope is 2 so the rate of change is 2
Therefore, 2 - 0 = 2
So the rate of change of function 2 is 2 more than the rate of change of function 1
Answer: 1+$11=$12
$12 +$51= $75 tickets that Henry bought
Since we know the side length of the square (6), we can calculate its diagonal using pythagoras.
diag d = √(6²+6²) = 6√2 in
The diagonal is also the diameter of the circle! So the radius of the circle is half of that:
radius r = d/2 = 3√2 in
The area of the circle is πr² = π(3√2)² = 18π in²
Answer:
x= -3
Step-by-step explanation:
Look at the screenshot, it explains how I got the answer.
