Answer:
See below.
Step-by-step explanation:
First, it's obviously a line so the equation is a linear equation.
In order to find a linear equation, we first need the slope and the y-intercept. Recall the slope-intercept form:
, where m is the slope and b is the y-intercept.
We already know the point (0,3) which is the y-intercept. Thus, b=3.
To find the slope, use the slope formula:

Thus, the equation is:

Answer:
1) When x is 1, y is 4, and vice versa
2) When x is -6, y is 42, and when x is 7, y is 114
3) When x is -2, y is 2, and when x is 8, y is 42
Step-by-step explanation:
1)

which can be rearranged as
.
Substituting this lone y into the first equation, you get:

Move everything to one side:

Factor:



2)
which can be rearranged as
.

Let's use elimination this time and subtract the first equation from the second:

Factor:



3)


Let's set the two equations equal to each other through substitution:

Move everything to one side:

Factor:



Hope this helps!
Answer:
4x+88=180
First angle is 54°
Second angle is 23°
Third angle is 103°
Step-by-step explanation:
Let x be the second angle. First angle is 31+x. Third angle is 2*(31+x)-5 = 62+2x-5 = 2x+57
All angles in a triangle add upto 180°
31+x+x+2x+57 = 180
4x+88=180
Subtract 88 from both sides,
4x = 92
Divide by 4,
x = 23°
31+x = 54°
2x+57 = 2*23 + 57 = 46+57 = 103°
It's the Arithmetic series. I hope this has helped.
Answer:
angle 1 = 135 degrees
Step-by-step explanation: