Answer:
Step-by-step explanation:
givens
x1 = 3
x2 = 4
y1 = 4
y2 = 7
formula
d = sqrt( (x1 - x2)^2 + (y1 - y2)^2 )
solution
d = sqrt( (3 - 4)^2 + (4 - 7)^2 )
d = sqrt ( 1 + 3^2)
d = sqrt( 1 + 9)
d = sqrt( 10)
Both A and B will be answers to the solution.
Since you already have the equation set and equal to 0, you can find the roots by first getting your a, b, and c values for the quadratic equation.
a = 1 (number attached to the x^2)
b = -3 (number attached to the x)
c = 5 (number not attached to a variable)
Then we can use these values in the quadratic equation.


Answer: X=7 y=0
Step-by-step explanation:
first transfer the -6y over than multiply it by 2 so the x's are equal then subtract the bottom equation from top equation and you get y = 0 then solve each equation with y = 0 and you get x = 7
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Answer:
15%
Step-by-step explanation:
3 of the 20 boxes are damaged
3/20 = x/100
Multiply the top and bottom by 5
3/20 *5/5 = 15/100
15%
If we use x for the number of dimes, and y for the number of nickels, then from this problem we know:
x(.10)+y(.05)=1.50
since each dime we have is another .10 dollars, and each nickel is another .05 dollars, as well as
3x=y
since we have 3 times as many nickels, we have to multiply dimes by 3 to have the same number of coins.
plugging this in to the first equation we get:
x(.10)+3x(.05)=1.50
.1x+.15x=1.5
.25x=1.5
x=6
Sally has 6 dimes.
Plugging this back in to 3x=y, we get
3(6)=y
18=y
So, Sally has 18 nickels