Answer:
x = 2
Step-by-step explanation:
AB is given as 3(3x-1) multiply inside the parenthesis with 3
AB = 9x - 3
AC is given as 5(2x+2) multiply inside the parenthesis with 5
AC = 10x + 10
if B is midpoint of AC then AB = BC and AC = AB + BC if we write this equation using the given values
9x - 3 + 9x - 3 = 10x + 10 add like terms
18x - 6 = 10x + 10 transfer like terms to the same side of the equation
18x - 10x = 10 + 6
8x = 16 divide both sides by 8
x = 2 replace x with 2 in given expressions to find the value of each component
10 because you know that the decimal moves one to the left if you are dividing by ten and one to the right if you are multiplying by ten.
Check your work. 0.32 divided by 10 is 0.032
The general equation for computing the circumference of a circle is

, where C is the circumference, and d is the diameter. (You might also see the equation as

where r is the radius, because

)
Computing the circumferences of the two circles, we get:


.
To calculate the ratio of two numbers, we can divide one by the other. You can look at this as "How many times does the denominator fit in the numerator?"

So the circumference of the complex impact crater is 2 times greater than the circumference of the simple impact crater.
Answer:
6.5 seconds
Step-by-step explanation:
Keep in mind that when
, this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:

So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds
Answer:
Range=65
Step-by-step explanation:
The highest is 66 the lowest is 1 so 66-1=65