Answer:
Yes, lines M and N intersect because their slopes are different.
Step-by-step explanation:
First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)
Slope of Line M:
(3--11) / (3--4)
(3+11) / (3+4)
14/7
2
Now we know that the slope of Line M is 2.
Slope of Line N:
(9--2) / (-6-5)
11/-11
The slope of Line N is -1!
Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.
If the slopes were the same, Line N and M would NEVER intersect because they are parallel.
Hope this helps
Answer:
D = 0; one real root
Step-by-step explanation:
Discriminant Formula:
First, arrange the expression or equation in ax^2+bx+c = 0.
Add both sides by 9.
Compare the coefficients so we can substitute in the formula.
Substitute a = 1, b = 6 and c = 9 in the formula.
Since D = 0, the type of solution is one real root.
Answer:
137.16
Step-by-step explanation:
we have a formular of the area of a sector:
S= pi*(its angle)/360*R^2
so apply to it
S= pi*(93/360)*13^2=137.16
Y = 3/2 x - 3
Matching the equation with y = mx + b where b is the y-intercept, we can identify the y-intercept as -3.
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Answer: y-intercept = -3
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