This is the additive identity property or identity property of addition.
This property states that when you add 0 to a number, the result is the original number.
Answer:
The x-intercepts as shown on this graph are: (-3,0), (1,0), and (3,0). The y-intercept as shown on this graph is: (0,2).
Step-by-step explanation:
The intercepts refer to where the function intersects with either the x-axis or y-axis. Since the line crosses the y-axis at (0,2), that's the y-intercept. The same thing applies to the x-intercepts. On this graph, it's easier to identify because the intercepts are marked with dots.
Answer:
x = - 7, y = 6
Step-by-step explanation:
7x + 7y = - 7 -----> equation 1
- 10x - 7y = 28 -----> equation 2
Add equations 1 & 2,
7x + 7y = - 7
- 10x - 7y = 28
___________
- 3x + 0 = 21
- 3x = 21
x = 21 / - 3
x = - 7
Substitute x = - 7 in equation 1,
7x + 7y = - 7
7y + 7x = - 7
7y + 7 ( - 7 ) = - 7
7y - 49 = - 7
7y = - 7 + 49
7y = 42
y = 42 / 7
y = 6
Angle T and Angle R are vertical angles, which means they are congruent (equal in measurement)
Use substitution to go from
Angle T = Angle R
to
3x+36 = 6x-9
Now let's solve for x
3x+36 = 6x-9
3x+36-3x = 6x-9-3x
36 = 3x-9
36+9 = 3x-9+9
45 = 3x
3x = 45
3x/3 = 45/3
x = 15
Since x = 15, we can say,
Angle T = 3x+36
Angle T = 3*x+36
Angle T = 3*15+36 ... x is replaced with 15 (since x = 15; found above)
Angle T = 45+36
Angle T = 81
The final answer is 81 degrees
