sorry i dont have answered
Answer:
Hence, the correct option is;
They are parallel because they have the same slope of -2
Step-by-step explanation:
Here we have;
AB falls on the line 6x + 3y = 9..........................(1)
CD falls on the line 4x + 2y = 8..........................(2)
Therefore, for equation (1),
3y = 9 - 6x which gives;
y = -2x + 3
for equation (2),
2y = 8 - 4x which gives;
y = -2x + 4
The equation of a straight line is y = m·x + c
Where:
m = Slope
c = Intercept
Hence, since, by comparison to the equation of a straight line, both lines have the same slope of -2, but different intercept, we have that both lines are parallel
Hence, the correct option is;
They are parallel because they have the same slope of -2.
Hey there!
To find the discriminant of an equation, you first need to identify the A, B, and C of your equation. You can do this by comparing your equation to the standard form.
Standard Form: ax² + bx + c
Equation: 3x² – 10x + 2
If you add 2 to both sides, you can get everything on one side and you can assure that all of your numbers are accurate.
A will be equal to 3, B will be –10, and C will be 2.
Now, you need to plug in those numbers into the discriminant equation:
b² – 4ac
If your discriminant is 0, there is one rational solution. If it's a positive perfect square, there are 2 rational solutions. If it's a positive non–perfect square, there will be 2 irrational solutions, and if it's a negative number, there will be 2 complex solutions.
Hope this helped you out! :-)
Answer:
D
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Since the length of the base and the height of the triangle is equivalent to the length of a side of the square, s,
area of triangle
= ½ ×s ×s
= ½s²
Given that the area of the triangle is 12.5 units²,
½s²= 12.5
Multiply both sides by 2:
s²= 12.5(2)
s²= 25
Square root both sides:
s= 5 units
(reject negative value since s > 0)
To answer this item, I assume that it is compounded yearly such that the amount of interest (I) from the given present worth (P), interest rate (i) and the number of years (n) is calculated through the equation,
I = P x (1 + i)^n - P
Substituting,
I = ($55) x (1 + 0.04)^5 - $55
I = 11.91
The answer is nearest to the first choice, $11.
