Answer:
The coordinates of point X that divides the line in 1:4 are: (3,8/5)
Step-by-step explanation:
When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,
the coordinates of point are given by:

Given points are:
(x1,y1) = (5,1)
(x2,y2) = (-5,4)
Putting the values in the formula

Hence,
The coordinates of point X that divides the line in 1:4 are: (3,8/5)
Answer:
system of function:
f(x)=.5x+6
f(x)=x^2; x > 2
Step-by-step explanation:
there's a screenshot attached. Explanation: I'm using desmos and just type the functions like what the screenshot did to graph the piecewise function made by two functions
Answer:
2πr=72
=2*22/7*r=72
=r=72*7/44=504/44=252/22=126/11=11.45
=πr theta /180=22/7*11.45*60/180
=11.99=12(approx)
answer is (a) 12
Answer:
a) amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Step-by-step explanation:
We are given:
Principal Amount P= 5000
Rate r= 4% = 0.04
time t = 7 years
The formula used is: 
where A is future value, P is principal amount, r is rate, n is compounded value and t is time
a) Find the amount in the bank after 7 years if interest is compounded quarterly?
If interest is compounded quarterly then n = 4
Using values given in question and finding A

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) Find the amount in the bank after 7 years if interest is compounded monthly?
If interest is compounded quarterly then n = 12
Using values given in question and finding A

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Answer:
5
Step-by-step explanation:
You can simply plug in the values to the expression to solve it (assuming you know square roots and powers). When you complete it, you get 5. Therefore, the distance between the two points is 5.
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