Answer:
(A) 2 3/10
(B) 1 7/15
Step-by-step explanation:
(A) Add the gallons he collected together to get the total amount of milk he started with: 4/5 + 6/8 + 3/4 = 2 3/10 gallons of milk.
(B) Take that number, 2 3/10, and subtract the amount of milk he has left to get the amount of milk he used. 2 3/10 - 5/6 = 1 7/15
Answer:
AB and CD are parallel lines
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are negative reciprocals
Calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)
m = = = 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m = = = 2
Since slope of AB and CD are equal then lines are parallel
Answer:
There are two complex roots.
Step-by-step explanation:
When the discriminant is a negative number, the parabola will not intersect the x-axis. This means that there are no solutions/two complex solutions.
Answer:
BC ≈ 14 units
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
BC² + AB² = AC²
BC² + 18² = 23²
BC² + 324 = 529 ( subtract 324 from both sides )
BC² = 205 ( take square root of both sides )
BC = = 14.317.. ≈ 14 units ( to the nearest unit )