Two linear equations can have no solutions, exactly one solution or infinitely many solutions. There will be no solution if the lines are parallel on a graph. There will be exactly one solution if the lines intersect each other on a single point. And finally, there will be infinite solutions if the lines overlap each other perfectly.
A single line however has infinite ordered pair solutions as the line travels infinitely in both directions on the coordinate plane. For example, using the equation y=3x, for any real value of x, we will get a real value for y.
Linear inequalities with two variables have infinitely many solutions. We can use the inequality y>3x as an example. For any real value of x, we will get a real value for y.
I hope this helps!
The closest distance up the tree where the wire reaches is 17.93 foot.
<u>Explanation:</u>
Given-
Length of the wire, L = 12 foot
angle, Ф= 48°
Distance upto which the wire reaches the tree, x = ?
We know,
cos Ф = base/ hypotenuse
cos 48° = 12/ x
0.669 = 12/x
x = 17.93 foot
Therefore, the closest distance up the tree where the wire reaches is 17.93 foot.
Answer:
27.968 mins
Step-by-step explanation:
1) we need to find 8% of 32:
32*0.08=2.56
so 8% of 32 is 2.56 mins.
we need to subtract 2.56 by 32 since its says the times was cut by 8%
so
32-2.56=29.44
now 5% of 29.44:
29.44*0.05=1.472
1.472 mins
so
29.44-1.472=27.968
Hope this helps!
Answer:
The solution is (0, 2).
Step-by-step explanation:
Here we have two different equations for y. Equate them to eliminate y. Solve the resulting equation for x:
y = −1/3x + 2 = y = x + 2
Simplifying, we get (-1/3)x = x, and so x must be 0.
Then, using the second equation, we find that y = 0 + 2 = 2.
The solution is (0, 2).
25 because 4 - 3 is one, or one 25.... the answer is 25
