Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b,
where m = slope, and b = y-intercept.
From the slope-intercept equation y = 5x - 3, we see that the slope of the line is 3.
The point-slope form of the equation of a line is:
y - y1 = m(x - x1)
where m = slope, and (x1, y1) is a point on the line.
We have point (-2, -13), so x1 = -2, and y1 = -13.
We also have slope 5, so m = 5.
Now we use the coordinates of the given point and the slope in the point-slope equation.
y - (-13) = 5(x - (-2))
We simplify to get
y + 13 = 5(x + 2)
The complex solutions come in pairs and the only difference between them is the sign between the real and imaginary part, so one of the other two solutions is
. The third solution can be easily found using the rational root theorem, and it's equal to -1.
Answer:
D
Step-by-step explanation:
Answer:
x = 43/12
y = - 35/6
Step-by-step explanation:
4x + 4y = -9
y = 2x - 13
4x + 4(2x - 13) = - 9
4x + 8x - 52 = - 9
12x = 52 - 9
12x = 43
x = 43/12
y = 2×43/12 - 13
y = 86/12 - ¹²⁾13
y = (86 - 156)/12
y = - 70/12
y = - 35/6
Answer:
x=10°
y = 12°
Step-by-step explanation:
<TSV = 5x + 4x = 90°
=> 9x = 90°
Divide by 9,
x = 10°
<RSU = 10y + 10° + 5x = 180°
=> 10y + 10° + 5*10° = 180°
=> 10y + 10° + 50° = 180°
=> 10y + 60° = 180°
Subtract 60° on both sides,
10y = 180° - 60° = 120°
Divide by 10,
y = 120° / 10 = 12°
