Answer: 6
Since one of the points is at the origin, then you can take the number point on the x axis and multiply it by the point on the y axis, and you get 12. To find the area of a triangle, you must use base x height divided by 2. Divide 12 by 2 to get 6.
Hope this helped!
Answer:
the answer is (3,4)
Step-by-step explanation:
because if you check wich quadrant it is in and you check the number you can see which one it is. x,y that is how it goes so 3,4 should be correct if you line them up.
Answer:
√(9/7)
Step-by-step explanation:
tan θ + cot θ = 7
Write tan and cot in terms of sin and cos.
(sin θ / cos θ) + (cos θ / sin θ) = 7
Multiply both sides by sin θ cos θ
sin² θ + cos² θ = 7 sin θ cos θ
Use Pythagorean identity.
1 = 7 sin θ cos θ
1/7 = sin θ cos θ
Remember that, we'll use it later. Go back to this step:
sin² θ + cos² θ = 7 sin θ cos θ
This time, add 2 sin θ cos θ to both sides.
sin² θ + 2 sin θ cos θ + cos² θ = 9 sin θ cos θ
Factor.
(sin θ + cos θ)² = 9 sin θ cos θ
Substitute.
(sin θ + cos θ)² = 9 / 7
Take square root.
sin θ + cos θ = √(9/7)
Option: rationalize the denominator.
sin θ + cos θ = 3√7 / 7
Here you have black dots at x = {0, 1, 2, 4, 4.5, 5}.
For each of these x-values, there is one and only one associated y-value. This fact tells us that the graph does represent a function.