Answer:
4.
y= 2/3x + 3
Step-by-step explanation:
By using the distributive property on the right side of the equation you get 2/3x + 2. Then you add 1 to the right side to cancel out the (-1) on the left.
Answer:
1)
A)
We must use the formula b x h/2 12 x 8/2 = 48
A=48
B)
We must use the formula 1/2a root c squared - a squared
Solving and substituing will get you 35.78
2)
A)
We must divide 81 by 2 to get 9. Since this is a square, all sides will be 9. Then, we must add 9 four times to get 36 cm as our perimeter
B) If we draw the square with a diagonal line, we can understand that the diagonal line (hypotenus) is s root 2.
3) The formula for this area of a triangle is h x b/2. We must substitute the numbers to get our answer:
h x b /2 = 10 x 20/2 = 200/2 = 100
AREA IS 100cm squared
Step-by-step explanation:
Suppose

is the number of possible combinations for a suitcase with a lock consisting of

wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for

wheels, or

is given recursively by the formula

starting with

(because you can start the combination with any one of the ten available digits 0 through 9).
For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).
By substitution, you have

This means a lock with 55 wheels will have

possible combinations (a number with 53 digits).