Answer:
5.6
Step-by-step explanation:
The point of interest divides LM into segments of the ratio 3 : 2. The point has coordinates that are the weighted average of the coordinates of L and M with the weights being the reverse of the ratio numbers.
(2L + 3M)/5 = (2·2 +3·8)/5 = 28/5 = 5.6 . . . . y-coordinate only
Answer: 6
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
In this case we want to find the coefficient that has x. 6 is the only coefficient in the expression 6x + 9y + 15z that has the coefficient of x.
Basically, a coefficient is simply a number that has a variable after it.
Answer: 12a.) slope is 125, y-intercept is 50 (started at 50 ft)
12b.) f(3) = 425 feet
12c.) 3.6 hours
Step-by-step explanation:
12a.) The slope equation is y = mx+b, where m is the slope, and b is the y intercept.
12b.) to find f(3) you could either plug it into the equation given (125x+50) or pretend there is a vertical line at 3 on the x axis, and where it crosses the line given would be the answer.
12c.) He is climbing a 500 ft cliff, and according to the graph, it takes him 3.6 hours to do it. Another way to find this answer would be to find f(3.6), which is indeed 500 ft.
Hope this helps!
Answer:
Step-by-step explanation:
So a geometric sequence can be explicitly defined as: . IN this case we're given r, but we don't know what a_1 is. We can find this by lugging in 4 as n, and -8 as a_n, since they're given values
Plug known values in:
Subtract the values in the exponent
Simplify the exponent
Divide both sides by -8
So the nth term can be defined as: , and since the 1 is redundant, the equation can simply be defined as:
Answer:
The radius of the circles are and
Step-by-step explanation:
Let
x-----> the radius of larger circle
y----> the radius of smaller circle
we know that
-----> equation A
Remember that
-----> equation B
substitute equation B in equation A and solve for y
Find the value of x
therefore
The radius of the circles are and