Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.
We do not know what x and y stand for. Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2 (common difference is positive)
Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}
The slope of the line 5/7.
How do i know this?
Well the slope of a line is considered as rise/run.
So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.
Go back to the beginning and count how many times it takes to reach the height of the intersected corner. So it is 5.
Then we go to the right until we reach the point. And it takes 7 squares to reach it, so the slope it 5/7.
Your welcome! :D
Answer:
Final amount = 25,407.4
Step-by-step explanation:
A = P ( 1 + 
A = final amount
P = initial principal balance
r = interest rate
t = number of times interest applied per time period
Here P = 2000
r = 4 %
n = 3 years
A = 2000( 1 + 
)³
= 2000( 
)³
= 2000 × 
= 25,407 .4
Final amount = 25,407.4
The value of the coefficient B is 9.
2(x+By)(x-2y)
=2(x^2 -2xy +Bxy -2By^2)
=2x^2 -4xy + 2Bxy - 4By^2
The original form is 2x^2 + 14xy - 36y^2
-36y^2 = -4By^2
B= 9
-4xy +2Bxy= 14xy
xy(-4 +2B)= 14xy
-4 + 2B = 14
2B = 18
B=9
Answer:
g(x) = -6 - 3x
f(x) = X^6
Step-by-step explanation:
