Answer:
The equation of the line is y = 6x - 14
Step-by-step explanation:
To find the equation of this line, start by using the two points with the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (16 - 4)/(5 - 3)
m = 12/2
m = 6
Now that we have the slope, we can use that and either point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = 6(x - 3)
y - 4 = 6x - 18
y = 6x - 14
Answer:
x=3
Step-by-step explanation:
y= -2
4x-3y=18
4x-3(-2)=18
4x-(-6)=18
4x+6=18
4x+6-6=18-6
4x=12
x=3
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The discriminant of a quadratic equation is useful in determining the nature of its roots. Further, it can be solved by the equation,
D = b² - 4ac
From the given equation, b = 3, a = 2, and c = -5. Substituting the given to the equation,
D = 3² - (4)(2)(-5) = 49
Thus, the answer is the fourth choice, 49.
Answer:
x=43°
Step-by-step explanation:
The angles are adjacent and create a straight line so their sum is 180°.
(x+6)°+(3x+2)°=180°
x°+6°+3x°+2°=180°
4x°+8°=180°
4x°=172°
x=43°
Answer:
c^2+d^2 is not solvable
Step-by-step explanation:
