Answer:
76
Step-by-step explanation:
given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0
then the discriminant is Δ = b² - 4ac
given 3x² - 10x = - 2 ( add 2 to both sides )
3x² - 10x + 2 = 0 ← in standard form
with a = 3, b = - 10 and c = 2
b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76
Answer:
Part 1) Vertical line : 
Part 2) Horizontal line : 
Step-by-step explanation:
Part 1) Write the equation for the vertical line passing through the point (1,-4)
we know that
The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it
so
The x-coordinate is 1
therefore
The equation of the line is

Part 2) Write the equation for the horizontal line passing through the point (1,-4)
we know that
The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it
so
The y-coordinate is -4
therefore
The equation of the line is

Answer:
252 cubic cm
Step-by-step explanation:
V = (l x w x h ) / 3
V = (6 cm x 9 cm x 14cm) / 3
V = 756/3 = 252 cubic cm
Answer:
Step-by-step explanation:
1/6+1/4=5/12
5/12 of the job is done in 1 hour
so
5/12+5/12= 10/12
so 10/12 of the job is done in 2 hours
and then simplify 5/6 so then add 1/6
so it is done in 2 hours and 24 minutes
You can set up the relation as a table of ordered pairs.