Answer:
1
Step-by-step explanation:
Since tan(x) = sin(x)/cos(x), if sin(x) = cos(x) then tan(x) must be 1.
You can even reason that the acute angle is 45° and sin(x)=cos(x) = 
.
5^2 + 3^2 (equals to 34) ; That's the wrong expression
It should look like this : (5+3)^2 (which equals to 64)
Answer:
positive slope
(0,3)
slope = 2
Step-by-step explanation:
- Slope of the given line is positive
- If the line is sloping upward from left to right, so the slope is positive (+).
or if the angle made by the line to the x axis is < 90 it's slope is positive.
- y-intercept of the line is (0,3)
- The y intercept is the point where the line crosses the y axis. At this point x = 0.
- slope of the line is 2
- slope = (y2 - y1) / (x2 - x1)
lines passing through points (1,5) (0,3)
slope = (3 - 5) / (0 - 1)
= -2 / -1 = 2
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!
