A rational expression is a ratio of two polynomials. To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same.
Answer:(x,y)=(2.5,1)
Step-by-step explanation:
Given
thus on comparing
2x+y=6------1
On comparing exponent of 2
------2
we get x=2.5
substitute x in 1
y=1
(x,y)=(2.5,1)
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
You divide 820 by 42 and the answer comes out to be 344.4 it has a decimal because it doesn't divide equally
Answer:
9 times
Step-by-step explanation:
Area = length x breadth
area of picture not enlarged = 3 x 5 = 15in²
If length is tripled it becomes , 3 x 3 = 9in
If width is tripled, it becomes , 5 x 3 = 15in
Area of enlarged picture = 9in x 15in = 135in²
amount by which enlarged image is larger = 135in² /15in² = 9
