Answer:
All of the following are answers:
B) It has a slope of 2
C) It goes through the origin
D) It is a straight line
Step-by-step explanation:
trust me
Answer:
the slope of the line in the graph is: 3
the y-intercept is: -4
the equation of the line is: y=3x-4
Step-by-step explanation:
If we find a point on the graph and count it until it reaches other solid point we get that you have to go up three and to the right by one. This solid point I looked at was (0,-4) and counted up to (-1,1). To find the slope, we have to simply count and use "rise over run". The rise is 3 for every 1 we run, making the slope 3/1 which is 3.
the y-intercept is the point on the graph that touches the y-axis on the graph. The only point on the graph that touches the y-axis is -4, making the y-intercept -4.
The equation for a graph is y=mx+b. m would be the slope and b would be the y-intercept. We know that the slope is 3 (m) and that the y-intercept is -4 (b). Putting them together, we get that the equation of the graph is y=3x-4.
A triangle can only have at most one right angle.
Here's a proof that shows why this is so:
We know that the sum of all interior angles of a triangle must add up to 180.
Let's say the interior angles are A, B, and C
A + B + C = 180
Let's show that having two right angles is impossible
Let A = B = 90
90 + 90 + C = 180
180 + C = 180
Subtract 180 from both sides
C = 0
We cannot have an angle with 0 degrees in a triangle. Thus, it is impossible to have 2 right angles in a triangle.
Let's try to show that it's impossible to have 3 right angles
Let A = B = C = 90
90 + 90 + 90 = 180 ?
270 ≠ 180
Thus it's impossible to have 3 right angles as well.
Let's show that is possible to have 1 right angle
Let A = 90
90 + B + C = 180
Subtract both sides by 90
B + C = 90
There are values of B and C that will make this true. Thus, a triangle can have at most one right angle.
Have an awesome day! :)
<span>y - 4 = 0 so y = 4
</span><span>2x - 4 - 2 = 0
2x = 6
x = 3
(3, 4) is the solution
answer is </span><span>{(3, 4)} (last choice)</span>