Hello!
In a function, each input has only one output. In A, three has two outputs, 4 and 5, so A is not a function.
In B, you can use something called the vertical line test to see if each x value has one y value as an output. You move an imaginary vertical line across the graph, and if it intersects with two points it is not a function. If we do this on our graph, it will not intersect two points. Therefore, B is a function.
In C, we can see that each input has one output, or there are all different inputs, so C is a function.
For D we can use that vertical line test again. It intersects both the points (-1,1) and (-1,6) so D is not a function
Our final answers are B and C.
I hope this helps!
Answer: The answer is 0.18
Step-by-step explanation:
I took the test
Answer:
9) slope of AC = slope of FH
Equation of the line is y = - x + 5
10) Area = 320
Step-by-step explanation:
For 9, the only thing similar IS the slope of the hypotenuse because the triangles are along the same line. Unless they're asking for the equation of the line, then that's just using the point slope equation which is:
y = - x + 5
For 10, just multiply 4 and 5 by 4 to get 16 and 20. Then multiply 16 and 20 to get 320.
Answer:
20.04 units
Step-by-step explanation:
The diagram shows right triangle ABC. Use the definition of the cosine:

Answer:
Step-by-step explanation:
Measures of angles are,
m∠A = (2x)°
m∠B = (x + 14)°
m∠C = (x - 38)°
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
2x + (x + 14) + (x - 38) = 180
(2x + x + x) + (14 - 38) = 180
4x - 24 = 180
4x = 204
x = 51
m∠A = 2(51)° = 102°
m∠B = (51 + 14)° = 65°
m∠C = (51 - 38)° = 13°