In your change cup you have 28 coins. All of which are nickels and quarters. Together they add up to $4. How many coins do you have of each.
Answer:
Step-by-step explanation:
(5y+4+3x)(5y+4-3x) = (5y+4)² - (3x)²......(from the difference of 2 squares )
by identity : (a+b)(a-b) = a² - b²
in this exercice ; a = 5y+4 and b = 3x
Answer:
Each of the three friends will get one-sixth of the Thomas's enitre marble collection.
Step-by-step explanation:
Fraction of the total marble collection brought by Thomas = 
Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.
Fraction of total marble collection got by each friend = 
= 
∴ Each of the three friends of Thomas will get one-sixth of his entire collection of marbles.
Using cosine law,
d^2 = 65^2 + 35^2 - 2(65)(35)cos140
= 8935.5022
d = sqrt(8935.5022)
= 94.5 m
Angle = inverseCos(35sin40 / 94.5) = 76.23 degrees South of East
M= 6- -9 / 2- -1 = 6+9 / 2+1 = 15/3 = 5
y-6=5(x-2)
y-6=5x-10
y=5x-4
-9=5(-1)-4
-9=-5-4
-9=-9
6=5(2) -4
6=10-4
6=6
Step 1: find the slope using the formula m=y2-y1/x2-x1
Step 2: plug the slope and one point into the point-slope formula and solve to find the equation of the line in y=mx +b form.
Step 3: test both points to see if the equation works.