Answer:
2 sqrt(13)
Step-by-step explanation:
We can use the Pythagorean theorem
The x value between A and B is 4 units and the y value is 6 units
The distance is
d = sqrt( x^2 + y^2)
= sqrt( 4^2 + 6^2)
= sqrt( 16+36)
= sqrt(52)
= sqrt(4*13)
= 2 sqrt(13)
Answer:
Shorter piece is 3 ft, longer piece is 8 ft
Step-by-step explanation:
Set up two equations...
Let x be the length of the shorter piece, and let y be the length of the longer piece.
The whole board is 11 feet long, so
x + y = 11
He wants the longer piece to be 4 feet less than 4 times the length of the shorter board, so
y = 4x - 4
Substitute the second equation into the first equation....
x + 4x - 4 = 11 (y becomes 4x - 4)
Now solve for x
5x = 15 (combine like terms, add 4 to both sides)
x = 3 (divide both sides by 5)
Now substitute 3 in for x in either equation and solve for y...
y = 4(3) - 4
y = 12 - 4
y = 8
Answer:
Step-by-step explanation:
Your answer would be 80% or a B
Demoss graphing calculator
So, 4 quarts of 10% antifreeze consists of .1 * 4 = .4 quarts of antifreeze.
x quarts of pure antifreeze consists of x quarts of antifreeze.
Mixing them together, the proportion of the solution that is antifreeze is given by
(.4 + q)/(4 + q).
We want to solve for a solution consisting of 50% antifreeze,
(.4 + q)/(4 + q) = .5 -> q = 3.2.
So, 3.2 quarts of pure antifreeze is required.