Answer:
y=12x+3
Step-by-step explanation:
The slope-intercept form is y=mx+b. In the equation for slope-intercept form m=slope and b=y-intercept. You have the slope and y-intercept so all you have to do is put them in the right places. Since the slope is 12 your put the 12 where the m is and get y=12x+b. Then since you know the y-intercept is (0,3)=3 then you just need to put the 3 where the b is to get y=12x+3.
Hope this helps!!!
The expression
expands to
.
Hope this helps.
Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at

b. After 8 bounces we can apply the previous formula with n = 8 to get

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous
increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
Let's first isolate the fraction by dividing by 72.
Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
Explanation: As the least common multiple of two numbers is 60 , the two numbers are factors of 60 . Among {1,2,3,4,5,6,10,12,15,20,30,60} ,5 & 12 is the only two pair of numbers whose difference is 7 .
Answer: 5 & 12
Answer:
286cm²
Step-by-step explanation:
Let the parallel sides be 12cm and 10cm
Height h = 26cm
Area of a trapezium = 1/2(a+b) * h
Area of a trapezium = 1/2(12+10)* 26
Area of a trapezium = 1/2(22)*26
Area of a trapezium = 11 * 26
Area of a trapezium = 286cm²
Hence the area of the tiles is 286cm²