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
Soft tacos are going to be $1.25, and burritos are going to be $2.50
Answer:
7 quarters and 3 dimes
Step-by-step explanation:
x: quarter y: dime
25x + 10y = 205
x+y=10
y = 10-x
25x + 10*(10-x) = 205
25x+100 -10x = 205
15x = 105
x = 7
7 = 10-7 = 3
There are 4 quarts in a gallon.
44 / 4 = 11
She made 11 gallons of jelly.
